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Nana76 [90]
2 years ago
9

What is the slope of the equation​

Mathematics
1 answer:
astraxan [27]2 years ago
7 0
Slope = 1/2; Hope this helps!

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What is the volume of the cylinder below?
Sergeeva-Olga [200]

Answer:

11253.76

Step-by-step explanation:

We know that the formula for the volume of a cylinder is pi(r^2)(h) and we have both the radius (8 yards) and the height (56 yards) given to us. Given this, we can plug those numbers into the equation and do pi x (8)^2 x 56 which is simplified to 3.14 x 64 x 56, and when we solve this out we can get a final answer of 11253.76

6 0
2 years ago
A rectangular prism has a base area 56 ft.² and a volume of 840 ft.³ the length of the base is longer than the width if the sum
suter [353]

Answer:

The length of the base in feet is 8 ft.

Step-by-step explanation:

The volume V of the rectangular prism is given by

V = l × w × h

But Area, A = l × w

∴ V = A × h

Where A is the base area and h is the height

From the question

A = 56 ft.²  and V = 840 ft.³

∴ 840 ft.³ = 56 ft.² × h

840 ft.³ / 56 ft.² = h

15 ft. = h

∴ h = 15 ft.

Hence, the height of the rectangular prism is 15 ft.

Also, from the question

the sum of the length and the width of the base is equal to the height

i.e l + w = h

where l is the length of the base and w is the width of the base

Then, l + w = 15 ------ (1)

Also, A = l × w

Then, 56 = l × w ------- (2)

From equation (1)

l + w = 15

Then, w = 15 - l ------- (3)

Substitute this into equation (2)

56 = l × w

56 = l × (15-l)

56 = 15l - l²

Then,

l²- 15l + 56 = 0

l² -8l -7l + 56 = 0

l(l - 8) -7(l - 8) = 0

(l - 7)(l - 8) = 0

l - 7 = 0 OR l - 8 = 0

∴ l = 7 OR l = 8

Substitute the values of l into equation (3)

w = 15 - l

when l = 7

w = 15 - 7

w = 8

and when l = 8

w = 15 - 8

w = 7

From the question, the length of the base is longer than the width

∴ l = 8 and w = 7

Hence, the length of the base in feet is 8 ft.

6 0
2 years ago
Can someone please help me?
Tatiana [17]
It can be solved by factoring or taking the root of both sides.

x= 2 radical 3. and -2 radical 3
7 0
3 years ago
What is the volume of a sphere with a radius of 9 inches
Effectus [21]
Given the formula 
V=\frac{4}{3}πR³
so V=\frac{4}{3}π9³=972π
7 0
2 years ago
Read 2 more answers
Jade takes 5 minutes more than twice as long as Binh to ride to their friend’s house. If Binh takes x minutes to ride to his fri
skad [1K]

Answer:

It will take Jade (2x + 5) minutes

Step-by-step explanation:

Let us find the expression that represents the time Jade will take

∵ Binh takes x minutes to ride to his friend’s house

∴ The time Binh takes = x minutes

∵ 5 more means + 5

∵ Twice means × 2

∵ Jade takes 5 minutes more than twice as long as Binh to ride to their

   friend’s house

→ Multiply the time Binh takes by 2 and add the product by 5

∵ Binh takes x minutes

∴ The time Jade takes = 2 × x + 5

∴ The time Jade takes = 2x + 5 minutes

∴ It will take Jade (2x + 5) minutes

6 0
3 years ago
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