Answer:
A. 162 m²
Step-by-step explanation:
==>Given:
Isosceles trapezoid with:
base a = 19m
base b = 35m
Perimeter = 74meters
==>Required:
Area of trapezoid
==>Solution:
Recall: the length of the legs of an isosceles trapezoid are equal.
Perimeter of isosceles trapezoid = sum of the parallel sides + 2(length of a leg of the trapezoid)
Let l = leg of trapezoid.
Perimeter = 74m
Sum of parallel sides = a+b = 19+35 = 54m
Thus,
74 = 54 + 2(l)
74 - 54 = 2(l)
20 = 2(l)
l = 20/2 = 10m
Let's find area:
Area = ½(a+b)*h
a = 19
b = 35
h = ?
Using Pythagorean theorem, let's find h as follows:
h² = l² - [(35-19)/2)²
h² = 10² - [16/2]²
h² = 100 - 64
h² = 36
h = √36 = 6m
Area = ½ x (a+b) × h
= ½ × (19+35) × 6
= ½ × 54 × 6
= 27 × 6
Area = 162m²
what is the equation of the line with the coordinates (-10,-7) and (-5,-9)
Answer:
y = − 2/5x − 11
Step-by-step explanation:
To answer this, we need to put it into y = mx + b form. First, we need to find the slope. The equation for that is:
[tex]m = \frac{-9 - (-7)}{-5 - (-10)}[/tex]
[tex]m = -\frac{2}{5}[/tex]
We now have the slope. Now, we need to figure out b, or the y-intercept. Using y = mx + b, we substitute the slope and an x value (it doesn't matter whether it's -10 or -5, but let's use -10 for now) and a y value (same thing).
[tex]-7 = (-\frac{2}{5})(-10) + b[/tex]
[tex]b = -11[/tex]
All that's left to do is plug it in! Our final answer is:
[tex]y = - \frac{2}{5}x - 11[/tex]
Answer:
[tex]y = - \frac{2}{5} x - 11 [/tex]
Step-by-step explanation:
[tex] (-10,-7) and (-5,-9) \\ x_{1} = - 10 \\ y_{1} = - 7 \\ x_{2} = - 5 \\ y_{2} = - 9[/tex]
[tex] \frac{y - y_{1}}{x -x_{1} } = \frac{y_{2} -y_{1}}{x_{2} - x_{1} } \\ \frac{y -( - 7) }{x - ( - 10)} = \frac{ - 9 - ( - 7)}{ - 5 - ( - 10)} \\ [/tex]
[tex]\frac{y + 7}{x + 10} = \frac{ - 2}{5} \\ cross \: multiply \\ 5(y + 7) = - 2(x + 10) \\ 5y + 35 = - 2x - 20[/tex]
[tex]collect \: like \: terms \: \\ 5y = - 2x - 20 - 35 \\ 5y = - 2x - 55 \\ \frac{ 5y = - 2x - 55}{ 5} \\[/tex]
[tex]y = - \frac{2}{5} x - 11[/tex]
TRUE OR FALSE:
An isosceles trapezoid is a trapezoid with congruent legs.
Answer:
True
Step-by-step explanation:
If a quadrilateral (with one set of parallel sides) is an isosceles trapezoid, its legs are congruent.
Answer:
the correct answer is true
Step-by-step explanation:
An isosceles trapezoid is a trapezoid with congruent legs.=true
hope this helps you!!!!!!!!!!
Brainiest is be given upon the correct answer!!
Answer: 267.9
Step-by-step explanation:
New diameter = 8 inches
Radius = 4 inches
Volume of a sphere = 4/3 π x r^3
= 4/3 * 3.14 * 4^3
= 267.9 cu. in.
Identify any outlier(s) in the data.
{79, 75, 125, 61, 78, 63, 88, 76, 68, 82, 67}
Step-by-step explanation:
In my opinion 125 is an outlier because it is the only 3 digit number
Work out the mean for the data set below: 6, 4
Answer:
5
Step-by-step explanation:
The mean is the same as the average value of a data set and is found using a calculation. Add up all of the numbers and divide by the number of numbers in the data set.
The difference in the X coordinates of two points is three and the difference in the Y coordinate is two points is six what is the slope of the line that passes through the points
Answer: The slope is 2.
Step-by-step explanation: Slope is Rise/Run
The rise is the difference in y-values, given as 6.
The Run is the difference in x-values, given as 3
6/3 = 2
On August 1, Ira’s bank balance was $300. During the month, he wrote three checks for $115.25 and made it be deposit of $165. Which of the following best represents his checking account balance at the end of the month?
A. 119.25
B. -119.25
C. -$45.75
D.349.75
Please answer this question now fast in two minutes
Answer:
2 or 3
Step-by-step explanation:
2 is one of them
3 is another of them
For every 333 days of vacation, Farah packs 444 outfits.
Which of the following statements are true?
Choose 3 answers:
Choose 3 answers:
(Choice A)
A
Farah would pack 666 outfits for an 888-day vacation.
(Choice B)
B
Farah would pack 888 outfits for a 666-day vacation.
(Choice C)
C
Farah would pack 101010 outfits for a 999-day vacation.
(Choice D)
D
Farah would pack 161616 outfits for a 121212-day vacation.
(Choice E)
E
Farah would pack 282828 outfits for a 212121-day vacation.
Answer:
Choices B, D and E.
Step-by-step explanation:
This is simple logic.
If it was choice A, number of outfits won't be lower than number of days.
Choice B is right, because if you do this:
(3×2)(3×2)(3×2)=666 days
or
6÷3=2
(4×2)(4×2)(4×2)=888 outfits
or
8÷4=2
You would know the statement is true.
If it was choice C, it's not correct:
(3×3)(3×3)(3×3)=999 days
(4×3)(4×3)(4×3)=121212 outfits (this is the closest answer because nothing can be multiplied by 4 to get 101010)
So, statement of choice C is incorrect.
Choice D is correct, because of this:
(3×4)(3×4)(3×4)=121212 days
or
12÷3=4
(4×4)(4×4)(4×4)=161616 outfits
or
16÷4=4
E is also correct, because of this:
(3×7)(3×7)(3×7)=212121 days
or
21÷3=7
(4×7)(4×7)(4×7)=282828 outfits.
So the answer is choices B, D and E.
I hope you understand my explanation.
2x2 − 10x − 28 6x × 6 x − 7
Answer:
no real solutions
Step-by-step explanation:
If equation is...
[tex]2x^2 - 10x - 28 = 6x(6x) - 7\\2x^2 - 10x - 28 = 6x^2 - 7\\0 = 4x^2 + 10x + 21\\4x^2 + 10x + 21 = 0[/tex]
= no real solutions
On a map, 1 cm represents 3 km. The real-life distance between two towns is 27 km. What is the distance between these two towns on a map?
Answer:
9 cm
Step-by-step explanation:
Every centemeter represents three. 3km=1cm.
The number of kilometers/3= the number of centemeters.
the number of centemeters x 3= the number of kilometers.
We now have three equations to help us covert back and forth.
The question asks us to convert 27km in real life, to centemeters on a map. We use the first forumla to help us:)
The number of kilometers/3= the number of centemeters.
27/3=the number of centemeters.
Thus, the answer is nine.
Answer:
9cm
Step-by-step explanation:
1:3 this is the starting ratio
if we replace 3 for 27 we just divide them to get 9 so the new ratio is 9:27.
HURRY PLEASE HELP ME I DONT KNOW WHAT TO DO
Answer:
3rd option
Step-by-step explanation:
which addition does the model below represent
+++++
- - -
Answer:
+2
Step-by-step explanation:
+ and - cancel. We have 5 + and 3 - so that leaves us with 2 + so the answer is +2.
Answer:
+++++ + --- = ++
Step-by-step explanation:
so 5+-3=+2
TEN POINTS!!!! 8^-2 * 8^-9 in exponential form
Answer:
8^ -11
Step-by-step explanation:
8^-2 * 8^-9
The bases are the same so we can add the exponents
8 ^ (-2+-9)
8^ -11
Please answer this in two minutes fast
Answer:
(16,4)
Step-by-step explanation:
To go from M to S
(-4, 2.5)
Reverse
(16,4)
Answer:
work is shown and pictured
Um avião partiu de um aeroporto situado a 800 metros acima do nível do mar, com o tempo bem e a temperatura de 32° C. Ao atingir a altitude máxima, de 3 100 metros acima do nível do mar, o piloto observou que a temperatura externa era de – 41° C. Da decolagem até o momento em que foi atingida a altitude máxima, a variação da temperatura externa foi de:
Resposta: 73 ° C
Explicação passo a passo:
Dado o seguinte:
Temperatura (T1) na decolagem localizada a 800 metros acima do nível do mar = 32 ° C
Temperatura (T2) à altitude máxima de 3200 metros acima do nível do mar = - 41 ° C
Portanto ;
A variação da temperatura externa entre o ponto de decolagem e a altitude máxima pode ser calculada por:
Diferença entre a temperatura de decolagem e a temperatura na altura máxima.
Variação externa da temperatura = (T1 - T2)
32 ° C - (-41 ° C)
= 32°C + 41°C
= 73°C
Q4. A bag contains Red, Green and Yellow balls. A ball is taken at random from the bag. The probability that it is Red is 0.35 and the probability that it is Green is 0.4
Find the probability that ball selected is:
(i) Yellow
(ii) Not Red
please answet
Answer:
0.25
0.65
Step-by-step explanation:
P(red)= 0.35
P(green)= 0.4
P (yellow)= 1- (0.35+0.4)= 0.25P(not red)= 1- P(red)= 1- 0.35= 0.65Expand and then and then collect the following expression 3(a+2)+6(a+3)
Answer:
9a + 27
Step-by-step explanation:
=> 3(a+3) + 6(a+3)
Expand the brackets
=> 3a+9 + 6a+18
Combining like terms
=> 3a+6a+9+18
=> 9a + 27
Answer:
9a+24
Step-by-step explanation:
3a+6+6a+18
Simplify:
9a+24
I NEED HELP PLEASE, THANKS! :)
The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expected population of each country in 2025, assuming their annual growth rates remain steady. Show work.
Answer: see below
Step-by-step explanation:
Use the Exponential function: y = a(b)ˣ where
y = expected populationa = initial populationb = growth rate in decimal form (remember to add 100%)x = number of years[tex]\underline{\text{Australia:}}\\y=19,169,000(1.006)^5\\=\large\boxed{19,751,012}\\\\\\\underline{\text{China:}}\\y=1,261,832,000(1.009)^5\\=\large\boxed{1,319,645,764}\\\\\\\underline{\text{Mexico:}}\\y=100,350,000(1.018)^5\\=\large\boxed{109,712,539}\\\\\\\underline{\text{Zaire:}}\\y=51,965,000(1.031)^5\\=\large\boxed{60,534,681}[/tex]
Brady is selling candy bars for a school fundraiser to help pay for new sports uniforms. He gets paid $2 for every candy bar he sells, and he made a total of $90 on Saturday. Write an equation to show how many candy bars Brady sold on Saturday.
Answer: 2x = $90
Step-by-step explanation:
From the question, we are informed that Brady is selling candy bars for a school fundraiser to help pay for new sports uniforms and that he gets paid $2 for every candy bar he sells, and he made a total of $90 on Saturday.
The equation showing the number of candy bars Brady sold on Saturday goes thus:
Let the number of candy bars sold on Saturday be x.
Since each candy bar is sold for $2 and he made a total of $90, this means that the $90 gotten is the product of each candy bar and the amount sold which we represented by x. Therefore the equation will be:
2 × x = $90
2x = $90
We can further solve to get x.
2x = 90
x = 90/2
x = 45
That means 45 candy bars were sold.
Answer:
hi, so i belive the correct option to your question is:
2x = 90
Step-by-step explanation:
it just makes the most sense to me because 2x which could mean two times which in the equation it says he makes to dollars per candy bar sold, so it makes more sence for it to be 2x rather than 90x. and then it says he made a total of ninty dollars on saturday which is a key factor in solving this equation so think it would be 2x = 90$.
im really not sure if this logic makes sence, im not super good with algebra but i hope this helps you out.
please help me out with these
Answer:
first complete the table by filling blank space on y axis
Then choosing a suitable scale, two squared box on the graph paper represent 1 unit for both axis.
Then draw a graph using x and y coordinate
(b) minimum value of y you dote a line from the turning point of the curve towards y axis then read the value
For this case it is -3.2
(c).To get the value of y when X=-3.5,
you dote alone from X =-3.5 on the X axis towards the curve vertically until you meet the curve then from the meeting point dote a line towards y axis and read the value.
which gives y=0.8
(d). draw a horizontal line at y=3 to meet the curve on both sides then dote a line from the meeting point vertically towards X axis and read the value on the X axis.
For this case X=-4 or X=1Haruka hiked several kilometers in the morning. She hiked only 6 kilometers in the afternoon, which was 25%, percent less than she had hiked in the morning. How many kilometers did Haruka hike in all?
Answer:
14 km
Step-by-step explanation:
6 km in the afternoon
x km in the morning
6= x- 25%
6= 0.75x
x= 6/0.75
x= 8 km
total 6+8= 14 km
Choose the explicit and recursive formulas for the geometric sequence 45, 135, 405, 1215, 3645, .... PLEASE HELP ASAP
Answer:
Option (B)
Step-by-step explanation:
Given sequence is 45, 135, 405, 1215, 3645..........
Since it's a geometric sequence,
Common ratio of each successive term to the previous term
r = [tex]\frac{135}{45}=3[/tex]
First term of the sequence 'a' = 45
Explicit formula of a geometric sequence will be,
[tex]a_n=a(r)^{n-1}[/tex]
[tex]a_n=45(3)^{n-1}[/tex]
Recursive formula of this sequence will be,
[tex]a_n=3(a_{n-1})[/tex], [tex]a_1=45[/tex]
Therefore, Option (B) will be the answer.
The diagram shows a scale drawing of a playground the scale of the drawing is 1:500 work out the perimeter of the real playground give your answers in meters
The perimeter of the real playground is 1000(x+y) meters where x and y are the length and breadth of the scale drawing playground.
Perimeter of a rectanglePerimeter of a rectangle = 2 (length and breadth)
Given to us,the scale of the drawing is 1:500
Assumptionlet's assume that the length of the scale drawing playground is x and the breadth of the scale drawing playground is y. therefore, the length of the playground is 500x and the breadth is 500y.
Perimeter of the scale drawing playgroundPerimeter of the scale drawing playground = 2(length+breadth)
[tex]= 2 (x+y)[/tex]
Perimeter of the real playgroundPerimeter of the real playground = 2(length+breadth)
[tex]=2 (500x+500y)\\=2 \times 500(x+y)\\= 1000 (x+y)[/tex]
Hence, the perimeter of the real playground is 1000(x+y) meters where x and y are the length and breadth of the scale drawing playground.
Learn more about scaling and magnification:
https://brainly.com/question/1132452
Which interval for the graft function has a local minimum of zero?
Answer:
[2,4]
Step-by-step explanation:
Which group of numbers is ordered from least to greatest?
A. 45,−0.9,−3
B. −3,−0.9,45
C. −0.9,45,−3
D. 45,−3,−0.9
Answer:
The answer is option B.
-3 , - 0.9 , 45
Hope this helps you
Explanation:
The negative numbers are always smaller than the positive ones. So we list those first. The number -3 is smaller than -0.9 since it is further to left on the number line. So far we have -3 followed by -0.9. The last value must be 45 as its the only thing left. The sequence from smallest to largest is therefore -3, -0.9, 45. A number line is recommended to see the values being placed from left to right.
Which of the I-values satisfy the following inequality?
7x<21
Choose all answers that’s apply:
А
=1
B
= 2
C=3
Please help me I will not go to high school if i don’t get it right 40points
Answer:
The answers are options A and B
First solve the inequality
7x < 21
Divide both sides by 7
That's
7x/7 < 21/7
x < 3
The values that satisfy the inequality are
1 and 2 since they are both less than 3
Hope this helps you.
Answer:
Simplifying
x = 2x + -21
Reorder the terms:
x = -21 + 2x
Solving
x = -21 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
x + -2x = -21 + 2x + -2x
Combine like terms: x + -2x = -1x
-1x = -21 + 2x + -2x
Combine like terms: 2x + -2x = 0
-1x = -21 + 0
-1x = -21
Divide each side by '-1'.
x = 21
Simplifying
x = 21
Find the product: (5x + 5y) (x + 4y)
A. 4x2 +22ry - 12y2
B.5x2+ 20y2
c.5x2 + 25xy + 20y2
D. 35x2 - 54ry + 16y2
Answer:
c
Step-by-step explanation:
Complete the table. (Round your answers to four decimal places.)
[1/(x + 1)]- (1/9)
lim
X-8
7.9
7.99
7.999
D
8.001
8.01
8.1
2
Use the result to estimate the limit. Use a graphing utility to graph the function to confirm your result. (Round your answer to four decimal places.)
[1/(x+1)] - (1/9)
X-8
Answer:
See below.
Step-by-step explanation:
We have:
[tex]\displaystyle \lim_{x\to \-8}\left(\frac{1}{1+x}- \frac{1}{9}\right)[/tex]
Simply plug in each value:
When x = 7.9, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx 0.0012[/tex]
When x = 7.99, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx0.0001[/tex]
When x = 7.999, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx0.0000[/tex]
When x = 8.001, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx-0.0000[/tex]
When x = 8.01, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx-0.0001[/tex]
And when x = 8.1, [tex]\displaystyle \frac{1}{1+x}- \frac{1}{9} \approx-0.0012[/tex]
From this pattern, we can conclude that:
[tex]\displaystyle \lim_{x\to \-8}\left(\frac{1}{1+x}- \frac{1}{9}\right) = 0[/tex]
Since as the limit approaches 8, the value gets smaller and smaller and approaches zero.
Graphing this, we can confirm our answer.
Convert 5.08 to a percent. A. 0.0508% B. 0.508% C. 50.8% D. 508%
Answer:
508%
Step-by-step explanation:
To change to a percent multiply by 100
5.08 * 100
508%
Answer:
D. 508%
Step-by-step explanation:
Multiply the decimal value by 100 to find the percentage.
5.08 × 100
= 508
The percentage is 508%.