The height of the triangle is 5 inches.
The region occupied by a triangle within its sides is known as the area of the triangle. The area of a triangle can be calculated by the calculating product of the base and height of the triangle with a half i.e 1/2. The formula for the area of the triangle is given by
Here we have
Area of the triangle = 50 in²
The base of the triangle, b = 20 inches
As we know,
Area of the triangle = 1/2 (base × height)
From the given data,
=> 50 = 1/2 (20 × height)
Multiply by 2 on both sides
=> 100 = (20 × height)
Divided by 20 into both sides
=> 100/20 = (20 × height)/20
=> 5 = height
=> height = 5 in
Therefore,
The height of the triangle is 5 inches.
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Find the equation of the line.
Use exact numbers.
small shrub and has a volume of 2 to the power of 4 cubic feet. How many times larger is the
volume of planter with the tree than the volume of planter with the shrub?
The volume of the planter with the tree is 8 times larger than the volume of the planter with the shrub.
The volume of the planter with the tree is 2⁷ cubic feet, which is 128 cubic feet.
The volume of the planter with the shrub is 2⁴ cubic feet, which is 16 cubic feet.
To find out how many times larger the volume of the planter with the tree is compared to the planter with the shrub, you simply divide the volume of the planter with the tree by the volume of the planter with the shrub:
Volume of planter with tree / Volume of planter with shrub
= 128 / 16
= 8
The volume of the planter with the tree is 8 times larger than the volume of the planter with the shrub.
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Answer:
A. distributive property
Answer:
<3=75°
Step-by-step explanation:
Angle 3 and angle 2x+95 are supplementary( supplementary angles add up to 180°)
So <3+2x+95=180
<3+2x=180-95
<3+2x=85( let's call this equation 1)
Next, angle 5 and angle 8x+71 are opposite angles (opposite angles are equal) therefore <5=8x+71
Now, <3 and <5 are co-interior angles(co-interior angles are supplementary)
So <3+8x+71=180
<3+8x=180-71=109
Thus, <3+8x=109(let's call this equation 2)
Now solving equation 1 and 2 simultaneously:
Make <3 the subject of equation 1
<3=85-2x
Put <3=85-2x into equation 2
85-2x+8x=109
6x=24
x=24/6=4
Now, remember that angle 2x+95 becomes
2(4)+95
8+95=103°
Therefore<3=180-105=75°
Answer:
-2p +13
Step-by-step explanation:
(7p + 6) - (9p - 7)
Distribute the minus sign
(7p + 6) - 9p + 7
Combine like terms
7p -9p +6 +7
-2p +13
Answer:
-2p + 13
Step-by-step explanation:
Distribute the -1 to (9p - 7):
7p + 6 - 9p + 7
Add like terms (7p and -9p, 6 and 7):
-2p + 13
Answer:
P = Pay.
A = As.
Y = You.
E = Earned.
Step-by-step explanation:
PAYE Stands for pay as you earned.