Answers
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Surface areas and Volumes.
Now basically here we can see that, a Square has a circle inside it.
so the shaded region will be given as,
Shaded Area = Area of Circle.
thus, we get as
Area of circle = πr^2
so here, r = d/2 = 14/2 = 7 cm
so we get as,
Area = 22/7 * 7 *7
Area = 154 cm^2.
Answer:
49π
Step-by-step explanation:
definition :When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle: The area of a circle of radius r units is A=πr^2
d=14 , then radius=7
A=π7^2=49π
Related Questions
A pair of dice was rolled many times
and the results appear below. Based
upon these results, what is the
experimental probability of rolling a 7?
Outcome
12
2 3 4 5 6 7 8 9 10 11
3 6 8 11 14 16 15 12 9 5 1
Frequency
The percent probability is = [? ]%
Round to the nearest percent.
Enter
Answers
Answer: 7/24
Step-by-step explanation:
Answer:
16%
Step-by-step explanation:
Find the total number of throws
3 + 5 + 8+ 11 + 14 + 16 + 15 + 12 + 9 + 5 + 1
When you add these together, you get 100
Find the number of 7s that were thrown
The number of 7s thrown was 16
Find the probability that a 7 was thrown.
P(7) = 16/100 = 0.16
Find the %.
0.16 * 100 = 16%
Five times a number decreased by nine is equal to twice the number increased by 23. Which equation could be used to solve the problem? 5x – 9 = x + 23 5x – 9 = 2x + 23 5x + 23 + 2x = 23 5x + 23 = 2x + 23
Answers
Answer:
5x - 9 = 2x + 23
Step-by-step explanation:
5 times a number is represented by 5x, with x representing the unknown number.
5x decreased by 9 is (5x - 9) since 9 is being subtracted by 9.
(5x - 9) is equal to twice the number (2x), increased by 23.
So, the equation is (2x + 23).
Therefore, 5x - 9 = 2x + 23
The equation is 5x - 9 = 2x + 23.
The answer is option A.
Which equation could be used to solve the problem?5 times a number is represented by 5x, with x representing the unknown number.
5x decreased by 9 is (5x - 9) since 9 is being subtracted by 9.
(5x - 9) is equal to twice the number (2x), increased by 23.
So, the equation is (2x + 23).
Therefore, 5x - 9 = 2x + 23
What is an equation example?
An equation is a mathematical announcement this is made up of expressions related to the same signal. For instance, 3x – 5 = 16 is an equation. Fixing this equation, we get the price of the variable x as x = 7.
Learn more about the equation here: https://brainly.com/question/1214333
#SPJ2
What is the factored form of 6n4 – 24n3 + 18n? 6 n (n Superscript 4 Baseline + 4 n cubed + 3n) 6 n (n Superscript 4 Baseline minus 4 n cubed + 3 n) 6 n (n cubed minus 4 n squared + 3) 6 n (n cubed + 4 n squared + 3)
Answers
Answer:
6n(n³ - 4n² + 3)
Step-by-step explanation:
Given
6[tex]n^{4}[/tex] - 24n³ + 18n ← factor out 6n from each term
= 6n(n³ - 4n² + 3) ← which may be factored further if required
6n(n³ - 4n² + 3) is the factored form.
What is expression?Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.
Given that,
⇒6n⁴ - 24n³ + 18n
factor out 6n from each term
⇒6n(n³ - 4n² + 3)
There are two factors 6n and (n³ - 4n² + 3) of given expression.
Learn more about expression here:
brainly.com/question/13947055
#SPJ5
Triangle RST is dilated to produce triangle R'S'T. Which statement describes triangle R'S'T? Its x- and y-coordinates are 2 times the corresponding coordinates of triangle RST. Its x- and y-coordinates are of the corresponding coordinates of triangle RST. Its x- and y-coordinates are the opposite of the corresponding coordinates of triangle RST. Its x- and y-coordinates are interchanged compared to the coordinates of triangle RST.
Answers
Answer:
I believe it is A; Its x- and y- coordinates are 2 times the correspopnding coordinated of the triangle RST.
Step-by-step explanation:
It just seems the most plausible. I am also taking the Quiz right now.
Answer:
Its A
Step-by-step explanation:
The Triangle is 2x bigger
Got it right on edg
the area of a sector of a circle of radius 15cm is 110cm², calculate the angle of subtended at yhe center of the circle by the arc?
Answers
Answer:
44/45 radians
Step-by-step explanation:
The area is given by the formula ...
A = (1/2)r²θ
where θ is the central angle in radians.
Filling in the given numbers, we have ...
110 cm² = (1/2)(15 cm)²θ
θ = (220 cm²)/(225 cm²) = 44/45 radians
The subtended angle is 44/45 radians, about 56.02°.
1. Find the sum to
(a) 8 terms of 3 + 6 + 12 + .....
(b) n terms of 27/8+9/4+3/2+....
note(u can do only that was desplayed bybthe attachment
Answers
Answer:
7 1/8
57/8
Hope this helps :)
Urgent, It is a Calculus question and I’ll appreciate your help. Thanks
Answers
Answer:
4733
Step-by-step explanation:
Please refer to the attached diagram.
Point A can be assigned x-coordinate "p". Then its y-coordinate is 6p^2. The slope at that point is y'(p) = 12p.
Point B can be assigned x-coordinate "r". Then its y-coordinate is 6r^2. The slope at that point is y'(r) = 12r.
We want the slopes at those points to have a product of -1 (so the tangents are perpendicular). This means ...
(12p)(12r) = -1
r = -1/(144p)
The slope of line AB in the diagram is the ratio of the differences of y- and x-coordinates:
slope AB = (ry -py)/(rx -px) = (6r^2 -6p^2)/(r -p) = 6(r+p) . . . . simplified
The slope of AB is also the tangent of the sum of these angles: the angle AC makes with the x-axis and angle CAB. The tangent of a sum of angles is given by ...
tan(α+β) = (tan(α) +tan(β))/1 -tan(α)·tan(β))
__
Of course the slope of a line is equal to the tangent of the angle it makes with the x-axis. The tangent of angle CAB is 2 (because the aspect ratio of the rectangle is 2). This means we can write ...
slope AB = ((slope AC) +2)/(1 -(slope AC)(2))
[tex]6(p+r)=\dfrac{12p+2}{1-(12p)(2)}\\\\3(p+r)(1-24p)=6p+1\qquad\text{multiply by $1-24p$}\\\\3\left(p-\dfrac{1}{144p}\right)(1-24p)=6p+1\qquad\text{use the value for r}\\\\3(144p^2-1)(1-24p)=144p(6p+1)\qquad\text{multiply by 144p}\\\\ 3456 p^3+ 144 p^2+ 24 p+1 =0\qquad\text{put in standard form}\\\\144p^2(24p+1)+(24p+1)=0\qquad\text{factor by pairs}\\\\(144p^2+1)(24p+1)=0\qquad\text{finish factoring}\\\\p=-\dfrac{1}{24}\qquad\text{only real solution}\\\\r=\dfrac{-1}{144p}=\dfrac{1}{6}[/tex]
So, now we can figure the coordinates of points A and B, and the distance between them. That distance is given by the Pythagorean theorem as ...
d^2 = (6r^2 -6p^2)^2 +(r -p)^2
d^2 = (6(1/6)^2 -6(-1/24)^2)^2 +(1/6 +1/24)^2 = 25/1024 +25/576 = 625/9216
Because of the aspect ratio of the rectangle, the area is 2/5 of this value, so we have ...
Rectangle Area = (2/5)(625/9216) = 125/4608 = a/b
Then a+b = 125 +4608 = 4733.
_____
Comment on the solution
The point of intersection of the tangent lines is a fairly messy expression, and that propagates through any distance formulas used to find rectangle side lengths. This seemed much cleaner, though maybe not so obvious at first.
There are 4 grams of fiber in 1 over 2 cup of oats. How many grams of fiber are in 3 and 1 over 2 cups of oats?
Answers
Answer:
28 grams
Step-by-step explanation:
each cup contains 8 grams 8*3 =24 plus the last half cup which contains 4 grams which brings the total to 28
Adler and Erika solved the same equation using the calculations below.
Adler's Work
Erika's Work
13 - 3 - 4+* -
OCD
Which statement is true about their work?
Answers
Answer:
Both Adler and Erika solved for k correctly.
Explanation:
Either the addition property of equality or the subtraction property of equality can be used to solve for k.
Answer:
Both adler and erika are correct
Step-by-step explanation:
just took it on edg
PLEASE HELP AND GIVE AN ACCURATE ANSWER AND EXPLAIN. SHOW YOU WORK ON THE GRID. I WILL MARK YOU THE BRAINIEST On the same grid paper above, transform your figure ABC using the rule (2x,2y)
Answers
Answer:
The coordinates seem to be A(-2, -4), B(3, 4) and C (3, -4). The rule (2x, 2y) means that you multiply the coordinates of the points by 2 so you just have to plot the points A'(-4, -8), B'(6, 8), C'(6, -8) and then connect them.
Large samples of women and men are obtained, and the hemoglobin level is measured in each subject. Here is the 95% confidence interval for the difference between the two population means, where the measures from women correspond to population 1 and the measures from men correspond to population 2: negative 1.76 g divided by dL less than mu 1 minus mu 2 less than minus 1.62 g divided by dL. Complete parts (a) through (c) below.
a. What does the confidence interval suggest about equality of the mean hemoglobin level in women and the mean hemoglobin level in men? Because the confidence interval does not include includes nothing, it appears that there is is not a significant difference between the mean level of hemoglobin in women and the mean level of hemoglobin in men. (Type an integer or a decimal. Do not round.)
b. Write a brief statement that interprets that confidence interval.
A. There is 95% confidence that the interval from minus 1.76 g divided by dL to minus 1.62 g divided by dL actually contains the value of the difference between the two population means left parenthesis mu 1 minus mu 2 right parenthesis .
B. There is 95% confidence that the difference between the two population means left parenthesis mu 1 minus mu 2 right parenthesis is either minus 1.76 g divided by dL or minus 1.62 g divided by dL .
C. There is 95% confidence that the difference between the two population means is not 0.
D. There is 95% confidence that the interval from minus 1.76 g divided by dL to minus 1.62 g divided by dL does not contain the value of the difference between the two population means left parenthesis mu 1 minus mu 2 right parenthesis .
c. Express the confidence interval with measures from men being population
1. and measures from women being population
2. Choose the correct answer below.
A. negative 1.62 g divided by dL less than mu 1 minus mu 2 less than 1.76 g divided by dL
B. negative 1.76 g divided by dL less than mu 1 minus mu 2 less than minus 1.62 g divided by dL
C. 1.62 g divided by dL less than mu 1 minus mu 2 less than 1.76 g divided by dL
D. negative 1.76 g divided by dL less than mu 1 minus mu 2 less than 1.62 g divided by dL.
Answers
Answer:
(a) Because the confidence interval does not include includes 0, it appears that there is not a significant difference between the mean level of hemoglobin in women and the mean level of hemoglobin in men.
(b) The correct option is (A).
(c) The correct option is (C).
Step-by-step explanation:
The 95% confidence interval for the difference between the two population mean hemoglobin level is:
CI = (-1.76 < μ₁ - μ₂ < -1.62)
(a)
The hypothesis to test the equality of the mean hemoglobin level in women and the mean hemoglobin level in men is:
H₀: The two population means are equal, i.e. μ₁ = μ₂.
Hₐ: The two population means are not equal, i.e. μ₁ ≠ μ₂.
The (1 - α)% confidence interval can be used to draw conclusion about the hypothesis test.
Decision rule:
If the (1 - α)% confidence interval does not consist of the null value then the null hypothesis will be rejected and vice-versa.
The 95% confidence interval for the difference between the two population means is:
CI = (-1.76, -1.62)
The 95% confidence interval does not consist of the null value, i.e. 0.
Thus, the null hypothesis will be rejected.
"Because the confidence interval does not include includes 0, it appears that there is not a significant difference between the mean level of hemoglobin in women and the mean level of hemoglobin in men."
(b)
The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.
Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.
So, the 95% confidence interval (-1.76, -1.62) implies that there is a 95% confidence that the above interval actually contains the value of the difference between the two population means, (μ₁ - μ₂).
The correct option is (A).
(c)
Now it is provided that the measures from men is denoted as population 1 and measures from women is denoted as population 2.
The confidence interval for the difference between two mean is:
[tex]CI=(\bar x_{1}-\bar x_{2})\pm MOE[/tex]
According to the information:
[tex]\bar x_{1}=\bar x_{2}\\\\\bar x_{2}=\bar x_{1}[/tex]
So, the new confidence interval will be:
[tex]CI=-(\bar x_{2}-\bar x_{1})\pm MOE[/tex]
Then the confidence interval with measures from men being population
1 and measures from women being population 2 is:
[tex]CI=(1.62<\mu_{1}-\mu_{2}<1.76)[/tex]
The correct option is (C).
The area of circle Z is 64ft?.
What is the value of r?
r= 4 ft
r= 8 ft
D
r = 16 ft
Area
r= 32 ft
Z
Answers
Answer:
r=8
Step-by-step explanation:
Using the formula they gave us you could plug in the area (64) and divide it by pi which cancels out the pi so taking the square root of 64 gives you 8FT
Hope this helps :)
Answer:
8 ft
Step-by-step explanation:
[tex] \because \: r = \sqrt{ \frac{Area}{\pi} } \\ \\ \therefore \: r = \sqrt{ \frac{64\pi}{\pi} } \\ \\ \therefore \:r = \sqrt{64} \\ \\ \therefore r = 8 \: ft[/tex]
can you plz help me??? Gwen wants to create a congruent shape to the one she made. Her regular pentagon has a perimeter of 24.2 cm. What is going to be the length of the sides in the shape that she creates? A. 4.84 cm B. 5.84 cm C. 9.68 cm D. 121 cm
Answers
Answer:
The answer is A) 4.84 cm :P
Step-by-step explanation:
Gwen wants to create a congruent shape, so, all the sides have to be the same size. And if its a pentagon like in your situation , a pentagon has 5 sides so you have to divide 24.2 cm because it's your regular pentagon by 5 (sides) (24.2 cm ÷ 5 sides = 4.84 cm )
I hope I helped you :P
Answer:
The answer is A.
Step-by-step explanation:
Which graph represents the solution to the inequality?
-2.4(x-6) > 52.8
Answers
Answer:
the solution to the inequality -2.4(x-6)>52.8 is A
The given graph in option A is representing the solution of the given inequality -2.4(x-6) > 52.8.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Given inequality is:-
-2.4( x - 6 ) > 52.8We will put the value of endpoints in the graph first and put the value of x = -16
-2.4 ( x - 6 ) > 52.8
-2.4 ( -16 - 6 ) > 52.8
-2.4 ( -22 ) > 52.8
52.8 = 52.8
Now put the value of x =-18
-2.4( -18 - 6 ) > 52.8
-2.4( -24 ) > 52.8
57.6 > 52.8
Therefore the given graph in option A is representing the solution of the given inequality -2.4(x-6) > 52.8.
To know more about graphs follow
https://brainly.com/question/25020119
#SPJ5
If a cone is 5 meters tall and has a radius of 3 meters, What is its volume?
15π m3
60π m3
45π m3
30π m3
Answers
Answer: 15π m³
Step-by-step explanation:
Volume of a cone = 1/3πr²h
where,
r = radius = 3 meters
h = height = 5 meters
Volume = 1/3πr²h
Volume = 1/3 × π × 3² × 5
Volume = 1/3 × π × 9 × 5
Volume = 1/3 × π × 45
Volume = 45π/3
Volume = 15π m³
Write an equation and solve.
Eleven more than 4 times a number is 39.
The equation is _____ The solution is _____
(Type an equation using x as the variable.)
Answers
Answer:
4x+11 = 39
x = 7
Step-by-step explanation:
4 times a number
4x
Eleven more than
4x+11
is means equals
4x+11 = 39
Subtract 11 from each side
4x+11-11 = 39-11
4x = 28
Divide each side by 4
4x/4 = 28/4
x=7
Find the roots of the function f(x) = (2^x − 1) - (x2 + 2x − 3) with x ∈ R.
Answers
Answer: There are no real roots.
Step-by-step explanation:
To find the roots of the function
f(x) = (2^x − 1) - (x2 + 2x − 3) with x ∈ R.
First open the bracket
2^x - 1 - x^2 - 2x + 3 = 0
Rearrange and collect the like terms
2x^2 - x^2 - 2x + 3 - 1= 0
X^2 - 2x + 2 = 0
Factorizing the above equation will be impossible, we can therefore find the root by using completing the square method or the quadratic formula.
X^2 - 2x = - 2
Half of coefficient of x is 1
X^2 - 2x + 1^2 = -2 + 1^2
( x - 1 )^2 = - 1
( x - 1 ) = +/- sqrt(-1)
X = -1 + sqrt (-1) or -1 - sqrt (-1)
The root of the function is therefore
X = -1 + sqrt (-1) or -1 - sqrt (-1)
Since b^2 - 4ac of the function is less than zero, we can therefore conclude that there is no real roots
Al saves pennies. He agreed to give six thirteenths of his pennies to Bev if she would give six thirteenths of what she got from Al to Carl and if Carl in turn would give six thirteenths of what he got from Bev to Dani. Bev, Carl, and Dani agreed and Dani received 2376 pennies. How many pennies did Al have initially?
Answers
Answer:
Step-by-step explanation:
Let x represent the number of pennies that Al had initially.
He agreed to give six thirteenths of his pennies to Bev. It means that the number of pennies that he gave to Bev is 6/13 × x = 6x/13
if she would give six thirteenths of what she got from Al to Carl, it means that the number of pennies that Carl received is 6/13 × 6x/13 = 36x/169
if Carl in turn would give six thirteenths of what he got from Bev to Dani and Dani received 2376 pennies, it means that
6/13 × 36x/169 = 2376
216x/2179 = 2376
216x = 2376 × 2179
216x = 5220072
x = 5220072/216
x = 24167
AI had 24167 pennies initially
PLEASE HELP!!!! |6n+7|=8 |3x–1|=4
Answers
Answer:
|6n+7|=8= n=1/6,-5/2
|3x–1|=4 x=5/3,-1
Step-by-step explanation:
Solve for a 7a - 2b = 5a + b
Answers
Answer:
a=1.5b
Step-by-step explanation:
Add 2b on both sides to get 7a=5a+3b
Subtract 5a
2a=3b
divide by 2
a=1.5b
Select all that are true.
Answers
Answer:
1
2
6
Step-by-step explanation:
1/2 +1/2 =1
length 1/2 ×4=2
wide 1/2 ×3 =1 1/2
height 1/2×3= 1 1/2
Towns K and L are shown on a map-
a) Work out the actual distance
between towns K and L.
b) A third town, M, is 150 km due
South of town K.
Mark M on the map with X.
c) Measure the bearing of town L
from town K.
Answers
Answer:
a) Use a ruler for the measurement.
b) convert to centimetres then use a ruler to draw the unit on the diagram.
c) measure the angle between K and L from K
See explanations below
A complete question related to this found on brainly (ID:15577387) is stated below.
Towns K and L are shown on a map.
a) Work out the actual distance
between towns K and L.
b) A third town, M, is 150 km due
South of town K.
Mark M on the map with X.
c) Measure the bearing of town L
from town K.
Scale: 1cm represent 50km
Step-by-step explanation:
Scale: 1cm represent 50km
a) To find the actual distance between towns K and L use a ruler to measure the distance between K and L.
Your answer would be in centimetres (cm).
The answer obtained would be multiplied by 50km because from the scale given 1cm represent 50km.
Therefore you'll get the actual distance in km.
b) Here we are told M is 150 km due
South of town K.
Since the length of the initial diagram is in centimeters, we have to find how many centimeters equals 150km.
50km = 1cm
150km = (150km × 1cm)/50km = 150cm/50
150km = 3cm
Now we can represent the distance between K and M on the diagram.
Measure 3cm from K using a ruler in the direction of south (straight line downwards). The distance of M from K would be 3cm on the south of k.
c) Draw a cross on the position of K. Also draw a cross on the position of L. Connect the distance and measure the angle from K to L. The unit would be in degrees.
From the diagram, the angle is greater than 090° but less than 180°
Find attached the diagram.
Answer:
a) 100 km
b) check the photo of my work
c) 117 degrees
Step-by-step explanation:
To get full marks take a look at the photo of my work.
Question (b) use a compass and make sure it’s 3cm aiming down {South} as u can see in the photo, then draw a line aiming {South} with a ruler. On the end of the line you put the (x) point there to get the mark.
Thank you
Brian buys a computer for £3100. It depreciates at a rate of 5% per year. How much will it be worth in 5 years? Give your answer to the nearest penny where appropriate.
Answers
Answer: 2398.72
Step-by-step explanation:
Simply do 3100*0.95*0.95*0.95*0.95*0.95 ≈ 2398.72
Hope it helps <3
Answer:
$2398.72( I cannot use your dollar sign).
Step-by-step explanation:
If it decreases by 5% every year, then 3100*0.95=2945. Then 2945*0.95=2797.75. Then the 3rd year is 2797.75*0.95=2657.8625. Then 2,657.8625*0.95=2524.96938. Lastly, in the fifth year, it is 2524.96938*0.95=2398.72091. Then, I round off to the nearest penny(hundredths). The answer I get is $2398.72!
Which of these options is not a quadratic equation in x?
Answers
Answer:
3x³ - 2x² + 1 = 0
Step-by-step explanation:
By definition, a quadratic equation cannot have an exponent higher than 2.
Answer:
3x³ - 2x² + 1 = 0
Step-by-step explanation:
How do you write r2/3 t1/3 in radical form?
Answers
I hope this helps you
If Sam and Sally invested the same total amount at the end of three years, the amount Sam invested the first year is $ and the amount Sally invested the last year is $ .
Answers
Answer:
The amount Sam invested the first year = $2000
The amount Sally invested the last year = $1900
Complete question related to this was found at brainly (ID 4527784):
For three consecutive years, Sam invested some money at the start of the year. The first year, he invested x dollars. The second year, he invested $2,000 less than 5/2 times the amount he invested the first year. The third year, he invested $1,000 more than 1/5 of the amount he invested the first year.
During the same three years, Sally also invested some money at the start of every year. The first year, she invested $1,000 less than 3/2 times the amount Sam invested the first year. The second year, she invested $1,500 less than 2 times the amount Sam invested the first year. The third year, she invested $1,400 more than 1/4 of the amount Sam invested the first year.
If Sam and Sally invested the same total amount at the end of three years, the amount Sam invested the first year is $ and the amount Sally invested the last year is $ .
Step-by-step explanation:
First we would represent the information given with mathematical expressions.
Sam investment for 3 consecutive years:
Year 1 = x dollars
Year 2 = $2,000 less than 5/2 times the amount he invested the first year
Year 2 = (5/2)(x) - 2000
Year 3 = $1,000 more than 1/5 of the amount he invested the first year
Year 3 = (1/5)(x) + 1000
Sally investment for 3 consecutive years:
Year 1 = $1,000 less than 3/2 times the amount Sam invested the first year
Year 1 = (3/2)(x) - 1000
Year 2 = $1,500 less than 2 times the amount Sam invested the first year
Year 2 = 2x - 1500
Year 3 = $1,400 more than 1/4 of the amount Sam invested the first year.
Year 3 = (1/4)(x) + 1400
Since Sam and Sally invested the same total amount at the end of three years, we would equate their sum:
Sum of Sam investment for the 3years = x + (5/2)(x) - 2000 + (1/5)(x) + 1000
= x + 5x/2 -2000 + x/5 + 1000
= (10x+25x+2x)/10 - 1000
= 37x/10 - 1000
Sum of Sally investment for the 3years = (3/2)(x) - 1000 + 2x - 1500 + (1/4)(x) + 1400
= 3x/2 - 1000 + 2x -1500 + x/4 + 1400
= (6x+8x+x)/4 - 1100
= 15x/4 - 1100
37x/10 - 1000 = 15x/4 - 1100
37x/10 - 15x/4 = -100
(148x - 150x)/40 = -100
-2x = -4000
x = 2000
Therefore the amount Sam invested the first year = x = $2000
The amount Sally invested the last year (3rd year) = (1/4)(x) + 1400
(1/4)(2000) + 1400 = 500+1400 = 1900
The amount Sally invested the last year = $1900
(x2 − 3x + 8) − (7x2 − 2x − 1)
Answers
Answer:
- 6x² - x + 9
Step-by-step explanation:
Given
(x² - 3x + 8) - (7x² - 2x - 1)
Distribute the first parenthesis by 1 and the second by - 1
= x² - 3x + 8 - 7x² + 2x + 1 ← collect like terms
= - 6x² - x + 9
What is the measure for the following<
M
Answers
m= if i get the Diagram i will answer
ART D: THINKING
17
Solve for x in the following diagram. Make sure to show all your work and clearly label your
diagram with any missing information.
E
65
PP
55°
Y
ye
52 m
70°
1151
А
B
Ads
***
Answers
Answer:
110.41mStep-by-step explanation:
To get the value f x, we need to use SOH, CAH, TOA identity on ΔAEB but first we need to know any of the sides EB or AB.
From ΔBED, sum of the the angle in the triangle is 180° i.e ∠BED+∠EDB+∠EBD = 180°
65+55+∠EBD = 180
∠EBD = 180-120
∠EBD = 60
Also ∠DBC = 90- ∠EBD
∠DBC = 90- 60
∠DBC = 30°
Applying sine rule on ΔBCD;
52/sin∠DBC = DB/sin115
52/sin30 = DB/sin115
DB = 52sin115/sin30
DB = 52sin115/0.5
DB = 104sin115
DB = 114.75 m
Also applying sine rule on ΔBED to get side BE;
BE/sin55 = 114.75/sin65
BEsin65 = 114.75sin55
BE = 114.75sin55/sin65
BE = 93.998/0.906
BE = 103.75m
Finally, applying the trigonometry identity SOH on ΔABE
sinΔEAB = opp/hyp
sin70° = BE/AE
Since AE = x;
sin70° = 103.75/x
x = 103.75/sin70°
x = 110.41m
Hence, the value of x missing is approximately 110.41m
Please someone help me on these questions
Answers
Hey there! :)
Answer:
a) 24 cm²
b) 40.04 cm²
--------------------
Use the formula A = l × w to solve for each rectangle's area:
a)
8 × 3 = 24 cm².
b)
5.2 × 7.7 = 40.04 cm²
Answer:
a) 24
b) 40.04
Step-by-step explanation:
a) Area of a rectangle: length x width
length = 8
width = 3
Plug these values into the equation above:
8 x 3 = 24
b) Same steps as above except with different values for length and width
5.2 x 7.7 = 40.04