============================================================
Explanation
Shape A has surface area 4 cm^2
Shape B has surface area 25 cm^2
The ratio of the surface areas, from A to B, is 4:25
Apply the square root to both parts and we get 2:5 as the ratio of the corresponding sides. If shape A has a height of 2, then shape B will have a corresponding height of 5. I recommend drawing out two squares with these properties to see that their areas form the ratio mentioned above.
The ratio of the volume of shape B to shape C's volume is 27:64. Apply the cube root to both parts to get 3:4. This means if the height of shape B is 3, then the corresponding height on shape C is 4.
-----------------------
We found these ratios for the sides
A:B = 2:5B:C = 3:4The goal is to find the ratio A:B:C which ties all three shapes together showing how they all connect in terms of their corresponding sides.
Note how in A:B = 2:5 we have B = 5, but in B:C = 3:4 we have B = 3. We cannot combine the two ratios in this form since the B terms don't match.
The good news is that we can apply scaling to get the B values to match up
The ratio 2:5 is equivalent to 6:15 after multiplying both parts by 3
The ratio 3:4 is equivalent to 15:20 after multiplying both parts by 5.
The multipliers 3 and 5 are used because note how 15 is the LCM of those previous B values mentioned.
-----------------------
After scaling those ratios, we have
A:B = 6:15B:C = 15:20From here, we can quickly see that A:B:C = 6:15:20. This is possible because the '15's match up for the B terms.
If shape A has a height of 6, then shape B has a height of 15, and C has a height of 20. All of these heights correspond to one another.
Then we just erase out the B part to conclude A:C = 6:20 which reduces to A:C = 3:10 after dividing both parts by 2.
What expressions are equal to 16.04
where are the expressions?
Choose the expression that uses the GCF and the Distributive property to find 66 + 24 + 78.
Answer:
112
Step-by-step explanation:
Answer: 6
Step-by-step explanation:
The greatest common factor is 6.
ferdie plants carrots in 2 gardens. in each garden, he plants 3 rows of 7 carrots.what is the total number of carrots ferdie plants?
Answer:
He planted a total of 42 carrots between the 2 gardens
Step-by-step explanation:
3 x 7 = 21
21 x 2 = 42
may you guys help? i've been struggling on this question. if so i would very much appreciate it...
Answer:
24.288 LB
Step-by-step explanation:
Weight:176 LB
Fat %: 13.8%
176x0.138= 24.288
A piece of rope is 15.6 meters long. It is cut into 16 equal pieces. How long is each piece? Round your answer to the nearest tenth.
Answer:
1 m
Step-by-step explanation:
Given thta,
Length of a piece of rope = 15.6 m
It is cut into 16 equal pieces.
We need to find the length of each piece of rope.
Let the length of each piece is y m.
ATQ,
16 y = 15.6
⇒ y = 0.975
or
⇒ y = 1 m
Hence, the length of each piece is 1 m.
What is the slope of the line that passes through the points(-3,9) and (22,-4)?
Answer:
1/5
Step-by-step explanation:
We can find the slope of a line passing through two points by using the following
m = (y2-y1)/(x2-x1)
= (-9 - -4)/(-3 - 22)
= (-9+4)/(-25)
= -5/ -25
Find the length of the missing side (nearest tenth).
25 yd
37 yd
Answer:
27.3 yards
Step-by-step explanation:
Since this triangle is a right triangle, this can be solved using the equation:
a^2 + b^2 = c^2
c^2 is the side opposite to the right angle (37)
So, you need to change the equation to where it is set equal to b^2.
Subtract a^2 on both sides.
b^2 = c^2 - a^2
Now, plug in the numbers you have.
b^2 = 37^2 - 25^2
Simplify.
b^2 = 1369 - 625
b^2 = 744
Now, to find b, take the square root of 744.
√744 = 27.3
5(3)+2y=20
What’s the y factor?
Answer:
The answer should be y=2.5
There were 82,000 fans at a World Cup soccer game. About 60% were fans from Brazil. Approximately how many fans at the game were from Brazil?
The amount of oil it takes to cover the bottom of the frying fan.
Is ts circumference or area and please explain why it's a circumference or an area.
Adam exchanged British pounds for Swiss franc He changed £400 into 592 francs What was the exchange rate of British pounds to Swiss franc
Answer: 1 : 1.48
Step-by-step explanation:
Adam was able to change £400 into 592 francs which means that the British pound is stronger because it was able to buy more Swiss francs.
The exchange rate can be gotten using direct proportion:
400 : 592
1 : x
Cross multiply:
400x = 592
x = 592/400
x = 1.48
Exchange rate is:
= 1 : 1.48
Brianna is going to a carnival that has games and rides. Each game costs $2 and each ride costs $4. Brianna spent $24 altogether at the carnival and the number of games she played is 4 times the number of rides she went on. Graphically solve a system of equations in order to determine the number of games Brianna played, x,x, and the number of rides Brianna went on, yy.
Answer:$82
Step-by-step explanation:
what is equivalent to 4(8n)?
Answer:
32n
Step-by-step explanation:
4(8n) = 4 * 8 * n = 32 * n = 32n
thank, 5 star, and brainliest if helpful!
help its iready pls ill give brainiest
Answer:
I believe its 27 cubic units
Step-by-step explanation:
3 × 3 = 9
9 × 3 =27
Answer:
the answer is 9
Step-by-step explanation:its 9 because 3+3+3 equals nine and 1 cube is 1
PLEASE ANSWER I WILL GIVE YOU BRAINIEST IF CORRECT!!!!!!!
thanks!!
Answer:
100*5(120) = $60,000 for 120 students
Step-by-step explanation:
2. P(-4, 2), (6, 4), R(11, -2), S(2, -3)
is this is parallelogram or not??
Put the following equation of a line into slope-intercept form, simplifying all fractions. 10x-6y=-48
Answer:
y=5/3x+8
Step-by-step explanation:
The width of a triangle is represented by 5 +2y. The length is twice as long as the width. What is the perimeter of the rectangle? Select all correct expressions.
Answer:
6(5+2y)
Step-by-step explanation:
We have width = w = 5+2y
L = length of the rectangle
Length has been give to be 2 x width
Width = w
So l = 2w
Perimeter of a rectangle = 2(l+w)
Since l = 2w, we have
2(2w+w)
= 2(3w)
= 6w
So since we already know w = 5+2y
We put this value into 6w
Then we will have this expression:
P = 6(5+2y)
At a local carnival one day, 190 tickets were sold. Adult tickets cost $4 each and children tickets cost $3 each. If the total money collected from selling tickets was $720, how many adult and children's tickets were sold?
Answer:
adults is 131 and kids is 59
Step-by-step explanation:
I did this to
The solution to -2(1–4x) = 3x + 8 is
a) 6/11
b)2
c)-10/7
d)-2
If the measure of angle 2 is 92 degrees and the measure of angle 4 is (one-half x) degrees, what is the value of x?
Answer: x = 184°
Step-by-step explanation: As we can see in the figure below, angles 2 and 4 are Vertical Angles, i.e., they are angles opposite each other when two lines cross. Vertical angles are always congruent.
Then,
m∠2 = m∠4
[tex]92=x.(\frac{1}{2})[/tex]
[tex]92=\frac{x}{2}[/tex]
Value of x is
[tex]x=92(2)[/tex]
x = 184
The value of x is 184°.
two opposite sides of the square are increased by 8 inches and the other two sides are decreased by 5 inches. the area of the new rectangle is 11 square inches more than the area of the original square. how long was one side of the square?
a. 10
b. 12
c. 7
d. 17
Answer:
The length of a side of the square would be 8.
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
surface area=132
volume=60
6. Find the missing angle.
Step-by-step explanation:
one triangle has total 180°. so, 180° - 45° - 30° = 105°
Answer : 105°
Find the positive value of x if 4 - 2x] = 6.
6-4+2x=0
2+2x=0
-2(-1-x)=0
Step-by-step explanation:
not possible
Sara has 24 muffins, which he needs to box up
into dozens. How many boxes does she need?
Answer:
2 boxes
Step-by-step explanation:
1 dozen = 12
24 divided by 12 = 2!
Answer:
S/he needs 2 boxs
Step-by-step explanation:
24/12=2
Tickets to a local movie were sold at $3.00 for adults and $1.50 for students. If 350 tickets were sold for a total of $630.00, how many adult tickets were sold?
How many Triangles can be constructed with sides measuring 1 m to 2 m and 2 meter
Answer:
one
Step-by-step explanation:
Math question answer please
+5(9/3)²
Answer:
45
Step-by-step explanation:
does anyone know how to solve 2x+3y=7 and 4x-5y=25 using substitution to solve the system of equations.
Answer:
2x+3y=7 would be x=7/2-3y/2
4x-5y=25 would be x=25/4+5y/4
Does this help? if not let me know!:)
