Answer:
8 inches.
Step-by-step explanation:
From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.
Ab = s ^ 2 = 100
Therefore each side would be:
s = (100) ^ (1/2)
s = 10
So, side of the square base = 10 inches
Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:
Ap = 520/2 = 260
For an area of the square pyramid we have the following equation:
Ap = 2 * x * s + s ^ 2
Where x is the height of each triangular surface and s is the side of the square base
Replacing we have:
260 = 2 * x * 10 + 10 ^ 2
20 * x + 100 = 260
20 * x = 160
x = 160/20
x = 8
Therefore, the value of x is 8 inches.
the diagram shows a 5cm x 5cm x 5cm cube calculate the length of the diagonal AB give your answer correct to 1 decimal place
Answer:
√3 * 5 = 5√3 cm
Step-by-step explanation:
→ ABCDEFGH is a cube.
→ CF = Diagonal of cube.
→ CH = Diagonal of Base Face BCDH.
→ Let the side of Each cube = a.
Than,
in Right ∆CFH, By Pythagoras Theoram, we have,
→ CH² + FH² = CF² --------- Equation (1)
and, Similarly, in Right ∆CDH ,
→ CD² + DH² = CH² ------- Equation (2).
Putting Value of Equation (2) in Equation (1), we get,
→ (CD² + DH²) + FH² = CF²
→ a² + a² + a² = CF²
→ CF² = 3a²
→ CF = √3a .
Hence, we can say That Diagonal of a cube is √3 times of its sides.
__________________
Given:-
Side of cube = 5cm.
So,
→ Diagonal of cube = √3 * 5 = 5√3 cm. (Ans.)
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
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:
can someone help me plz
Answer:
7 cm
Step-by-step explanation:
The area of a right triangle is given by
A = 1/2 bh
21 = 1/2 y* 6
21 = 3y
Divide each side by 3
21/3 = 3y/3
7 = y
The base is 7 cm
Area formula: A = bh/2
We have a height of 6, a base of y, and a area of 21.
Fill in and solve:
21 = y * 6 / 2
21 = 6y/2
21 = 3y
7 = y
Therefore, the base is 7
Best of Luck!
What is the sign of the product (−4)(2)(−3)(6)? (5 points) Select one: a. Positive, because the products (−4)(2) and (−3)(6) are negative and the product of two negative numbers is positive b. Positive, because the products (−4)(2) and (−3)(6) are positive and the product of two positive numbers is positive c. Negative, because the products (−4)(2) and (−3)(6) are negative and the product of two negative numbers is negative d. Negative, because the products (−4)(2) and (−3)(6) are positive and the product of two positive numbers is negative
Answer: Option A
Step-by-step explanation:
Which number sentence is NOT true? A. B. |-3| = -3 C. D. HELP PLEASE ILL GIVE BRAINLIEST!!!
Answer:
it looks like the question is not complete but anything in a bracket like(-3) since tjere is no number in front of it or anything to divide it if the number is alone there is no need for the bracket
Answer:
A
Step-by-step explanation:
Please help. I don't understand how to solve this problem.
Answer:
BF=16
Step-by-step explanation:
To find BF, (I will be calling it x) you need to use the equation
CF/FB=CE/EA Substitute
FB=x
24/x=18/12 cross multiply
18x=288 divide both sides by 18
x=16
FB=16
Hope this helps, if it does, please consider giving me brainliest, it will help me a lot.
Have a good day! :)
1. Which of the following equations has a solution of x = -5? Equation A------> 16x-7=11x-32 Equation B------> -4x- 10=2x+20 a. Equation A b. Equation B c. Both A and B d. Neither A nor B
Answer:
C
Step-by-step explanation:
Equation A
16x - 7 = 11x - 32
(16x - 7) - 11x = (11x - 32) -11x
5x - 7 = -32
(5x - 7) + 7 = (-32) + 7
5x = -25
(5x)/5 = (-25)/5
x = -5
Equation B
-4x - 10 = 2x + 20
(-4x - 10) - 2x = (2x + 20) - 2x
-6x - 10 = 20
(-6x - 10) + 10 = (20) + 10
-6x = 30
(-6x)/-6 = (30)/-6
x = -5
Both Equation A and Equation B have a solution of -5.
what point lies on y-2=5(x-6)
Answer: (0, -28)
Step-by-step explanation:
Turn this equation into slope-intercept form.
y-2=5x-30
y=5x-28.
Because the y-intercept is -28, the point (0,-28) must be on the line.
Hope it helps <3
solve for x. 7x+4=30
Answer: x≈3.7
Step-by-step explanation:
7x+4=30
-4 on both sides
30-4=26
7x=26
divide 7 on both sides
x=3.7142...
Answer:
3.7
Step-by-step explanation:
7x+4=30
7x=30-4
7x=26
26/7
3.7
The price of a holiday was increased by 11% to £870. What was the price before the increase? Give your answer to the nearest penny.
Answer:
£783.78Step-by-step explanation:
Let the price before be x
Then the price after is:
x + 11% of x = £870x*1.11 = £870x = £870/1.11x = £783.78 rounded to the nearest pennyThe radius of the circle shown below is 17 yards. What is the length
of the 300 degree arc?
Round your answer to the nearest whole number.
17 yd
300°
Answer:
The length of the arc is 89 yards
Step-by-step explanation:
Mathematically, to find the length of an arc, we use the formula below;
Length of an arc = Theta/360 * 2 * pi * r
In this case, Theta = 300 and r = 17 yards
Length of the arc = 300/360 * 2 * 22/7 * 17 = 89.047619047583 which is 89 yards to the nearest yard
In 1000 sq. meter of land a farmer cultivated 765 kg of rice with the wastage of 23.5%.I) Find the weight of the wastage. II) Find the weight and percentage of rice cultivated.
Answer:
i. weight of wastage(kg) = 179.775 kg
ii. weight of rice cultivated = 765 kg - 179. 775 kg = 585.225 kg
percentage of rice cultivated = 100 - 23.5 = 76.5%
Step-by-step explanation:
A land of 1000 sq. meter is used to cultivate 765 kg of rice with wastage of 23.5%.
i. The wastage in percentage is 23.5% but the weight of the wastage in weight is 23.5% of 765 kg
weight of wastage = 23.5/100 × 765
weight of wastage = 17977.5/100
weight of wastage(kg) = 179.775 kg
ii. weight and percentage of rice cultivated.
weight of rice cultivated = 765 kg - 179. 775 kg = 585.225 kg
percentage of rice cultivated = 100 - 23.5 = 76.5%
Simplify the expression.
Write your answer without negative exponents.
Answer: [tex]\frac{5a^2}{-10a^4b^9}[/tex]
Step-by-step explanation:
Any negative exponent can be moved to the other side of the fraction as a positive exponent.
Thus, simply move the negative exponents to get: 5a^2/b*b^8*-10a^4. Then, use the exponent rule to get 5a^2/-10a^4b^9
Hope it helps <3
PLZ HELP ME PLZZZ I NEED HELP
Answer:
y = 40.5 cm
Step-by-step explanation:
The total area of the shape is 792 cm²
let's find the area of the four parallelograms
To do that we should calculate the area of the rhombus inside and then substract it from the total area
The area of a rhombus is given by the formula:
A = [tex]\frac{d*d'}{2}[/tex] where d and d' are the diametersLet A be the area of the shape , A' the area of the rhombus and A" the area of the four parallelograms
A"= A - A' A" = A -[tex]\frac{d*d'}{2}[/tex] A" = 792- [tex]\frac{18*7}{2}[/tex] A" = 729 cm²Let a be the area of the single parallelogram
a = A"/4 since the parallelograms are congruent a = 729/4 a = 182.25 cm²the area of a parallelogram is fiven by the formula :
A = b*h b is the base (here y/2) and h the height (here 18/9)let's find y
a = [tex]\frac{y}{2}[/tex] * 9182.25*2 = y*9 364.5 = y*9 y = 364.5/9 y = 40.5Marcie can mow 9 lawns every 14 hours. How many lawns can she mow in 49 hours?
Answer:
Number of lawns mow in 49 hours = 31.5 lawns
Step-by-step explanation:
Given:
Number of lawns mow = 9
Time taken = 14 hours
Find:
Number of lawns mow in 49 hours
Computation:
Time taken for 1 lawn = 14 / 9
Number of lawns mow in 49 hours = 49 / Time taken for 1 lawn
Number of lawns mow in 49 hours = 49 / (14/9)
Number of lawns mow in 49 hours = 31.5 lawns
Find the cost per ounce of a gold alloy made from 10 oz of pure gold that costs $1288 per ounce and 55 oz of an alloy that costs $900 per ounce. (Round your answer to the nearest cent.)
Answer:
$959.69 per oz
Step-by-step explanation:
A gold alloy is produced from pure gold and alloy.
10 oz of pure gold costs $1,288 per ounce
55 oz of alloy costs $900 per ounce
The first step is to add the cost of both the pure gold and alloy together
= (10 oz × $1288)+(55 oz × $900)
= $12,880+$49,500
= $62,380
Therefore the cost per ounce can be calculated as follows
= $62,380/10 oz + 55 oz
= $62,380/65 oz
= $959.69 per oz.
Hence the cost per ounce of the gold alloy is $959.69 per ounce
The Slope of a Line
(8,2) and (5,11)
Calculate the slope of the line
that contains the given points.
Answer:
m = -3
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Simply plug in our coordinates to find slope:
m = (11 - 2)/(5 - 8)
m = 9/-3
m = -3
Please someone help me on these questions
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
a traffic light can either be green, yellow or red. for every minute, the light stays green for 35 seconds, yellow for 5 seconds, and red for 20 seconds. At any given moment of the day, what is the probability that the light will be yellow? a. 1/12 b. 1/9 c. 1/8 d. 1/6 e. 1/3
Answer:
a. 1/12 (hope it help)
Step-by-step explanation:
5sec/60sec=1/12
which of the following graphs shows a negative linear relationship with a correlation coefficient, r, close to -0.5.
Answer:
In the graph attached there is a sample generated with a correlation coefficient r=-0.5.
Step-by-step explanation:
A value of r that is -0.5 shows that there is a certain correlation and that this correlation is negative.
As there are no examples in this question, I searched for a generator of random samples with a user-input correlation coefficient between the two variables.
In the graph attached there is a sample generated with a correlation coefficient r=-0.5.
Answer:
In the graph attached there is a sample generated with a correlation coefficient r=-0.5.
Step-by-step explanation:
if f(x)=4ˣ-8 and g(x)=5x+6, find (f-g) (x)
Answer:
(f-g) (x) is
[tex] {4}^{x} - 5x - 14[/tex]
Step-by-step explanation:
f(x)=4ˣ - 8
g(x)=5x+6
(f-g) (x) is
[tex] {4}^{x} - 8 \: - (5x + 6) \\ {4}^{x} - 8 - 5x - 6[/tex]
The final answer is
[tex] {4}^{x} - 5x - 14[/tex]
Hope this helps you.
Here are 4 fractions labelled A,B,C,D. A is 3/4 B is 5/6 C=16/25 D=9/15 Using the label A,B,C,D, Write the fractions in order of size starting with the smallest fraction
Answer:
Starting with the smallest, we will have; D , C, A, B
Step-by-step explanation:
Given;
A = 3/4
B = 5/6
C = 16/25
D = 9/15
Convert the fractions to decimal, to determine their sizes;
A = 3/4 = 0.75
B = 5/6 = 0.833
C = 16/25 = 0.64
D = 9/15 = 0.6
From the decimal form of the fractions, it be observed that,
B > A > C > D
Starting with the smallest, we will have; D , C, A, B
What would be the most logical first step for solving this quadratic equation?
x2 + 2x- 14 = 6
A. Take the square root of both sides
B. Add 14 to both sides
C. Divide both sides by x
Ο Ο
D. Subtract 6 from both sides
Answer:
D
Step-by-step explanation:
So that you can have an equation equal to zero to solve for x
Solve the equation 3/2(y-1) =y+5 and represent the solution on number line and on the cartesian plane...... pls solve it and spam answers will be reported and if it is truly the correct answer i will 100% sure mark it as brainleist
Answer:
y = 13
Step-by-step explanation:
Step 1: Distribute
3/2y - 3/2 = y + 5
Step 2: Subtract y on both sides
1/2y - 3/2 = 5
Step 3: add 3/2 on both sides
1/2y = 13/2
Step 4: Divide both sides by 1/2
y = 13
Answer:
y = 13.
Step-by-step explanation:
3/2(y-1) = y+5
3/2y - 3/2 = y + 5
3/2y - y = 5 + 3/2
1/2y = 6 and 1/2; 6.5; 13/2
y = 13.
To check out work...
3/2(13 - 1) = 13 + 5
3/2(12) = 18
3 * 6 = 18
18 = 18
On a number line, all you need to do is plot a point where it says 13. On a cartesian plane, you would have a horizontal line that expands infinitely in each direction, where y = 13.
Hope this helps!
If Milly has 29924827134702 candies and she gave 928439 to BOB then he gave 1000 back to Milly How much does both Milly and BoB have?
Answer:
"BOB" gave back 1000 that would be 928439 - 1000 = 927439(BOB has)
"BOB" gave back 1000 to Milly.. 29924827134702 + 1000 = 2.9924827(MILLY has)
Step-by-step explanation:
well, first, if "BOB" gave back 1000 that would be 928439 - 1000 = 927439, so "BOB" now has 27439. and now, "BOB" gave back 1000 to Milly sooo now it is 29924827134702 + 1000 = 2.9924827 (e+13) soooo ya thats it
hope this helped LOL
PLEASE help me with this!! I need help!
Answer:
∠ BDG = 148°
Step-by-step explanation:
The tangent- chord angle BDG is half the measure of its intercepted arc DCG
The 2 arcs in the circle sum to 360°, thus
arc DCG = 360° - arc DG = 360° - 64° = 296° , thus
∠ BDG = 0.5 × 296° = 148°
Solve for xif mZRQS = 2x+4 and mZTQS = 6x+ 20.
180
19.5
-4
90
Answer:
x= -4
Step-by-step explanation:
2x+4=6x+20
so 2x-6x=20-4
divide both sides by -4
-4x/-4 = 16/4
=-4
11. A roofer calculates his bid price using the formula P = 1.85s + 4.2f, where s is the area of the roof in square feet and f is the length of the fascia in feet. Find the area of the roof with 190 feet of fascia and a price of $4,148. Round to the nearest square foot
Replace f with 190, replace P with 4148 and solve for s:
4148 = 1.85s + 4.2(190)
Simplify:
4148 = 1.85 + 798
Subtract 798 from both sides:
3350 = 1.85s
Divide both sides by 1.85:
s = 1,810.81
Rounded to nearest square foot = 1811 square feet.
Write the equation of the line that passes through the points (8, –1) and (2, –5) in standard form, given that the point-slope form is y + 1 = (x – 8). x + y =
Answer:
2x -3y = 19
Step-by-step explanation:
For the two points (8, -1) and (2, -5), the two-point form of the equation of a line is ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (-5-(-1))/(2 -8)(x -8) +(-1)
y = -4/-6(x -8) -1
3y = 2x -16 -3 . . . . multiply by 3
2x -3y = 19 . . . . . . rearrange to standard form
__
The point-slope form is y +1 = 2/3(x -8). It helps to have all the numbers.
Answer:
2x + -3y = 19
Step-by-step explanation:
I promise
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
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