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2 years ago

What is the measure of

Mathematics

1 answer:

Kamila [148]2 years ago

6 0

Answer:

64.4

Step-by-step explanation:

In one of the trig formulas, it states sin <a/A = sin<b/B = sin<c/C

So we have in this case:

sin(70)/12 = sin x/14 Note: x is just a variable for the angle <ABC

14(sin70)/12 = sin x

sin^-1(14(sin70)/12) = x

x=64.4

Your welcome, and comment if you have any questions! :D

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What is the height of the triangle? A) 17 units B) 34units C) 51units D) 68units <br><br> Help??

drek231 [11]

Answer:

51 units

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

short leg : long leg : hypotenuse = 1 : sqrt(3) : 2

The reason this is relevant here is that in your case, you start with an equilateral triangle, FGH. An equilateral triangle is also equiangular, so all angles are congruent and measure 60 deg.

m<F = m<FGH = m<H = 60 deg

When the height GR is drawn, <FGH is bisected creating two 30-60-90 degree triangles, FGR and HGR.

The altitude GR also bisects side HF, so

HR = FR = (1/2)HF = 17*sqrt(3)

In 30-60-90 degree triangle FRG, the short leg is FR; the long leg is GR; the hypotenuse is FG.

Now we use the ratio of the lengths of the sides of a 30-60-90 degree triangle.

short leg : long leg : hypotenuse = 1 : sqrt(3) : 2

We use only the short leg and long leg parts of the ratios.

17*sqrt(3) : GR = 1 : sqrt(3)

GR * 1 = 17 * sqrt(3) * sqrt(3)

GR = 17 * 3

GR = 51

8 0

3 years ago

The three-dimensional figure below is a solid rectangular prism with a hole in the shape of another rectangular prism going thro

vekshin1

So you need to find the volume for the rectangular prism (1) and the rectangular prism in the center of it (2)

The formula for a rectangular prism is:

V = lwh [Volume = length x width x height]

l = 15

w = 6

h = 6

V = lwh Plug in the numbers

V = (15)(6)(6) = 540

l = 15

w = 4

h = 4

V = lwh

V = (15)(4)(4) = 240

Next you subtract the volumes by each other because the rectangular prism in the center(2) is the hole/empty part of the rectangular prism(1)

V = V(1) - V(2)

V = 540 - 240

V = 300

5 0

3 years ago

The height of the Empire State building is 1250 feet tall. Your friend ,who is 6 feet 3 inches tall, is standing nearby and cast

IgorLugansk [536]

75 inches / 33 inches : 1,250 / shadow

75 * shadow = 33 * 1,250

shadow = 41,250 / 75

shadow = 550 feet

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3 years ago

Need help!!!!!!!!!!!!Please

Vikentia [17]

Plz help I’m getting timed

4 0

3 years ago

Meredith bought 4 T-shirts and 2 pairs of pants. If x is the cost of one T-shirt and y is the cost of one pair of pants, she’ll

BartSMP [9]

Answer:

The total cost = 4x + 2y

The total cost = 2y + 4x

The total cost = 6x + 4y

The total cost = 4y + 6x

Step-by-step explanation:

* Lets explain how to solve the problem

- Meredith bought 4 T-shirts and 2 pairs of pants

∴ The number of T-shirts is 4

∴ The number of pairs of pants is 2

- x is the cost of one T-shirt and y is the cost of one pair of pants

∴ The cost of each T-shirt is x

∴ The cost of each pair pf pants is y

∵ The total cost is the sum of the products of the number of T-shirts

and the cost of each one and the number of pair of pants and the

cost of each one

∴ The total cost = (4 × x) + (2 × y)

∴ The total cost = 4x + 2y

- To find the equivalent expression switch the places of x and y

∴ The total cost = 2y + 4x

- Meredith bought 6 T-shirts and 4 pairs of pants

∴ The number of T-shirts is 6

∴ The number of pairs of pants is 4

∴ The total cost = (6 × x) + (4 × y)

∴ The total cost = 6x + 4y

- To find the equivalent expression switch the places of x and y

∴ The total cost = 4y + 6x

4 0

3 years ago

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