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3 years ago

Find the length x. х 14 cm 70°

Mathematics

1 answer:

adoni [48]3 years ago

3 0

Answer:

14.90cm [a]

Step-by-step explanation:

To find x, we will apply " sine rule"

that is, $sin$ A/a= $sin$ B/b

here a= x A=90° B=70°anb b =14cm

so we input the values we have

1/x =0.94/14

cross multiply,

0.94x = 14

x = 14/0.94

=14.90cm

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50 POINTS!!! Answer the question well and I will also give Brainliest.

Nesterboy [21]

Answer:

C) The volume of the prism is equal to the volume of the cylinder.

Step-by-step explanation:

volume of triangular prism = area of base × height

volume of cylinder = area of base × height

The cross sectional area are equal, so the bases have the same area.

The heights are also equal.

The volumes must be equal.

Answer: C) The volume of the prism is equal to the volume of the cylinder.

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2 years ago

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3 years ago

The box plots show the weights, in pounds, of the dogs in two different animal shelters.

aleksley [76]

Answer:

Shelter A

Step-by-step explanation:

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3 years ago

Read 2 more answers

A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.

Tanzania [10]

The total area of pyramid is 113.569 square units

The equation to find the total area of the pyramid is Total area = base area + lateral area.

Solution:

Given, A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6.

The total area of pyramid is given by:

$A=A_{b}+A_{l}$ ---- eqn 1

Where,

$A_{b} \text { is the base area and } A_{l} \text { is the lateral area }$

The area of base is given as:

$A_{b}=\frac{3 \sqrt{3}}{2} l^{2}$

Where "l" is the side of hexagon.

Substituting we get,

$\begin{array}{l}{A_{b}=\frac{3 \sqrt{3}}{2}(4)^{2}} \\\\ {=\frac{3 \sqrt{3}}{2} \times 16=3 \sqrt{3} \times 8} \\\\ {A_{b}=24 \sqrt{3}}\end{array}$

The lateral area is given as:

$A_{l}=3 b h$

Where,

b: base of the triangle

h: height of the triangle

Substituting we get,

$\begin{array}{l}{A_{l}=3 \times(4) \times(6)} \\\\ {A_{l}=72}\end{array}$

Plugging in the values we found in eqn 1 we get,

$A=24 \sqrt{3}+72$

A = 113.569 square units

Summarizing the results:

The total area of pyramid is 113.569 square units approximately

The equation used to find total area of pyramid is Total area = base area + lateral area.

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3 years ago

A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The sa

Minchanka [31]

Lets do this:-

A. 7 Sandwiches

18 - 7 = 11

7 × $7.75 = $54.25
7 sandwiches cost $54.25.

11 × $4.50 = $49.50
11 soups costs $49.50

49.50 + 54.25 = 103.75
A is not d answer cuz d total of d lunches came to $113.50.

B. 8 sandwiches

18 - 8 = 10

8 × $7.75 = $62
8 sandwiches cost $62.

10 × $4.50 = 45
8 soups costs $45

62 + 45 = 107

B is not d answer cuz d total of d lunches came to $113.50.

C. 9 Sandwiches.

18 - 9 = 9

9 × $7.75 = 69.75
9 sandwiches cost $69.

9 × $4.50 = 40.50
9 soups costs $40.50

69 + 40.50 = 109.5

C is not d answer cuz d total of d lunches came to $113.50.

D. 10 Sandwiches

18 - 10 = 8

10 × $7.75 = $77.75
10 sandwiches cost $77.75.

8 × $4.50 = $36
8 soups costs $36.

77.75 + 36 = 113.75

D is not d answer cuz d total of d lunches came to $113.50.

So, based on your answer choices there is no correct choice.

7 0

3 years ago