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2 years ago

Line segment SU is a diameter of circle V.

Mathematics

2 answers:

White raven [17]2 years ago

8 0

Answer:

<em>Answer: 112°</em>

Step-by-step explanation:

<u>Angles in a Circle</u>

An inscribed angle is formed between two chords whose vertices lie on the circumference of a circle. The figure shows three chords: TU, SU, and ST. SU happens to also be a diameter because it goes through the center of the circle V.

ST and SU form an inscribed angle of 34°. The corresponding central angle is TVU and its measure is

$m\angle TVU=2*34^\circ=68^\circ$

The required measure of the arc ST is the measure of the angle SVT. Note that SVT and TVU are complementary, thus:

$m\angle TVU+m\angle SVT=180^\circ$

Solving for the measure of SVT:

$m\angle SVT=180^\circ-m\angle TVU$

$m\angle SVT=180^\circ-68^\circ=112^\circ$

Answer: 112°

Verizon [17]2 years ago

8 0

Answer:

A. 56 degrees

Step-by-step explanation:

Just took the Unit Test on Edg (2021)!!

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1. What is the value of h? (1 point)

irinina [24]

The value of h is 11.3.

Solution:

Given data:

The triangle is a right triangle.

θ = 45° and opposite side of θ = 8

The value of sin 45° = $\frac{1}{\sqrt{2} }$

Using trigonometric formula,

$$\sin\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}$

$$\sin45^\circ=\frac{{8}}{h}$

$$\frac{1}{\sqrt{2} } =\frac{{8}}{h}$

Do cross multiplication.

$h = 8\sqrt 2$

h = 11.3

The value of h is 11.3.

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3 years ago

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never [62]

The square it’s self without the side triangles is 132ft^2 and the triangles them selves are 18ft^2.
Since there are 2 triangles both combined would be a total of 36ft^2
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Total area of one triangle is 18ft^2
Total area is 168ft^2

Side length dimensions:
Square without sides: 12x11 ft
Each triangle: 1/2 12x3

4 0

2 years ago

Select the correct answer. If the function 5x + y = 1 has the domain (-2, 1, 6), then what is the corresponding range? OA. {-9,

Leokris [45]

Answer:

D) {11,-4,-29}

Step-by-step explanation:

rewrite the equation as y= -5x+1 and plug in -2,1 and 6 to get y

-5*-2+1=11

-5*1+1=-4

-5*6+1=-29

3 0

2 years ago

Round 16.05792 to the nearest tenth

Alex

The answer would be 16.1

8 0

2 years ago

Read 2 more answers

Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7

cricket20 [7]

Answer:

The price of a pint of veggies is $1.75

Step-by-step explanation:

* Lets change the story problem to equations and solve them to find

the answer

- Chen is bringing fruit and veggies to serve at an afternoon meeting

- He spends a total of $28.70 on 5 pints of cut veggies and 7 pints

of cut fruit

- The food cost is modeled by the equation 5 v + 7 f = 28.70, where

v represents the cost of one pint of cut veggies and f represents

the cost of one pint of cut fruit

∴ The first equation is 5 v + 7 f = 28.70 ⇒ (1)

- The cost of each pint of fruit is $2.85

∵ f represents the cost of one pint of cut fruit

∴ f = 2.85

- Substitute the value of f in equation (1) to find the value of v

∵ 5 v + 7 f = 28.70 ⇒ (1)

∵ f = 2.85

∴ 5 v + 7 (2.85) = 28.70

∴ 5 v + 19.95 = 28.70

- Subtract 19.95 from each side

∴ 5 v = 8.75

- Divide both sides by 5

∴ v = 1.75

∵ v represents the cost of one pint of cut veggies

∴ The price of a pint of veggies is $1.75

7 0

3 years ago