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2 years ago

I need to find the surface area of the square pyramid! (I know I'm stupid lol)

Mathematics

1 answer:

pogonyaev2 years ago

3 0

Answer:

L = 260 cm^2

Step-by-step explanation:

height h = 12 cm

slant height s = 13 cm

side length a = 10 cm

lateral edge length e = 13.928388277184 cm

1/2 side length r = 5 cm

volume V = 400 cm^3

lateral surface area L = 260 cm^2

base surface area B = 100 cm^2

total surface area A = 360 cm^2

Genda: h = height

s = slant height

a = side length

e = lateral edge length

r = a/2

V = volume

L = lateral surface area

B = base surface area

A = total surface area

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Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.

dmitriy555 [2]

see the attached figure to better understand the problem

we have that

$cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units$

Step 1

Find the value of AC

we know that

in the right triangle ABC

$cos (A)=(AC/AB)\\AC=AB*cos(A)$

substitute the values in the formula

$AC=12*(1/5)\\ AC=2.4\ units$

Step 2

Find the value of BC

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

$AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}$

substitute the values

$BC^{2}=12^{2} -2.4^{2}\\BC^{2}= 138.24\\ BC=11.76\ units$

Step 3

Find the value of BD

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

$BD^{2} =DC^{2}+BC^{2}$

substitute the values

$BD^{2} =2^{2}+11.76^{2}$

$BD=11.93\ units$

therefore

the answer is

the length of BD is 11.93 units

8 0

3 years ago

Read 2 more answers

Write the word sentence as an equation. 5 is one-fourth of a number c.

motikmotik

Answer:

5 = 1/4c

Step-by-step explanation:

5 0

3 years ago

Which is larger 4 yard or 13 foot?

kow [346]

As 1 yard is equal to 3 feet , so 4 yard will be 12 feet !

so 13 foot > 4 yards

4 0

3 years ago

Justin walked 3 miles north and 6 miles west. starting from the same point, tina walked 2 miles south and 4 miles east. how far

Darya [45]

Basically, Justin and Tina's paths form two right-angled triangles whose hypotenuses(?) form a straight line between their end points. Therefore we need to find the two distances from the starting point and add them.
Justin walked 3 miles north and 6 miles west so his distance from the start is the square root of 9+36 or 45. This can be simplified to 3√5.
Tina walked 2 miles south and 4 miles east so her distance from the starting point is the square root of 4 + 16 or 20. This can be written as 2√5.
If we add these two distances together we get 5√5. Hence, Justin and Tina are 5√5 miles away from each other.

6 0

3 years ago

Two distinct solid fuel propellants, type A and type B, are being considered for a space program activity. Burning rates of the

Finger [1]

Answer:

C.I. = (2.297, 11.703)

Step-by-step explanation:

The t-statistic for difference of mean is given by,

$t=\frac{\bar{x_{1}}-\bar{x_{2}}}{\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}}}}$

Here, $\bar{x_{1}}$ = 84

$\bar{x_{2}}$ = 7

s₁ = 4

n₁ = 12

s₂ = 6

n₂ = 18

Substituting all value in formula,

We get, t = -3.541 at 28 degree of freedom.

Using this formula, we get, t = 1.5342

Therefore, based on the data provided, the 99% confidence interval for the difference between the population means $\bar{x_{1}}-\bar{x_{2}}$ is: 2.297 < $\bar{x_{1}}-\bar{x_{2}}$ < 11.703

which indicates that we are 99% confident that the true difference between population means is contained by the interval (2.297, 11.703)

6 0

3 years ago