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kari74 [83]
3 years ago
6

If the altitude is √7, find the volume. 36√7 cu. units 18√7 cu. units 12√7 cu. units

Mathematics
1 answer:
rosijanka [135]3 years ago
8 0

Answer:

Volume = 12\sqrt{7} cubic units

Step-by-step explanation:

Volume of the square pyramid is given as ⅓*area of base*height of pyramid.

Where,

Area of base = 6*6 = 36

Height of pyramid = altitude = \sqrt{7} units

Plug the values into the formula to find volume.

Volume = \frac{1}{3}*36*\sqrt{7}

Volume = 12*\sqrt{7}

Volume = 12\sqrt{7} cubic units

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Find f such that the given conditions are satisfiedf’(x)=x-4, f(2)=-1
kicyunya [14]

Given:

f^{\prime}\left(x\right)=x-4,\text{ and}f\left(2\right)=-1

To find:

The correct function.

Explanation:

Let us consider the function given in option D.

f(x)=\frac{x^2}{2}-4x+5

Differentiating with respect to x we get,

\begin{gathered} f^{\prime}(x)=\frac{2x}{2}-4 \\ f^{\prime}(x)=x-4 \end{gathered}

Substituting x = 2 in the function f(x), we get

\begin{gathered} f(2)=\frac{2^2}{2}-4(2)+5 \\ =2-8+5 \\ =-6+5 \\ f(2)=-1 \end{gathered}

Therefore, the given conditions are satisfied.

So, the function is,

f(x)=\frac{x^{2}}{2}-4x+5

Final answer: Option D

6 0
1 year ago
Which point on the number line is at 58/100
liberstina [14]

Answer:

R

Step-by-step explanation:

if you look at it 0 is the first one then count up by tens Q would 48 because it’s before 50 so 50 is right next to Q so then R is before 60 and after 50 so R is 58/100

8 0
2 years ago
Read 2 more answers
suppose you are standing on one bank of the river. A tree on the other side of the river is known to be 150ft tall. A line from
Eva8 [605]
You can use trigonometry and the tangent to get:
tan(11°)=150/x
so x=772 ft

3 0
3 years ago
PLS HELP MEEE PICTURE BELOW
Leviafan [203]

Answer:

h = 3.6

Step-by-step explanation:

This is just substituting in for variables and solving for x. The hard part is knowing the formula.

R = h((a+b)/2) where a and b are the 2 different bases, h is the height or latitude, and R is the area of a trapezoid, is the formula.

Given that R = 8.1, a = 1 and b = 3.5, we can substitute these equations in the formula.

(8.1) = h(((1) + (3.5)) / 2)

= h((4.5) / 2)

= h(2.25)

8.1/2.25 = h

3.6 = h

5 0
2 years ago
In the figure, △ABC is similar to △DEF. what is m∠1
Nady [450]

Answer:

C. 139°

Step-by-step explanation:

Given:

m<A = 62°

m<B = 77°

Required:

Find m<1

Solution:

Since ∆ABC is similar to ∆DEF, therefore:

<A ≅ <D, which means m<D = 62°

<B ≅ <E, which means m<E = 77°

<C ≅ <F

Therefore, based on exterior angle theorem:

m<1 = m<D + m<E

m<1 = 62° + 77° (substitution)

m<1 = 139°

7 0
2 years ago
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