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4 years ago

14

HELP!!!!!!!!!!! What are two possible measures of the angle below?

1 answer:

Andreyy894 years ago

6 0

Answer: First Option -90° and 630°

Solution:

1) In clockwise the angle is negative, then is -90°

2) Counterclockwise the angle is positive and it could be:

270°

270°+360°=630°

Then, the answer is -90° and 630°

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2 Evaluate the following expression when x = 2. x3 + 7x + 2

bogdanovich [222]

Answer:

B

Step-by-step explanation:

Since x is 2 wherever you see x put 2

solve x3 + x7+ 2

=(2)3 + (2)7 + 2

= you do the number outside the bracket multiplied by the number inside the bracket

like this

=(2 × 3) + (2 × 7) + 2

= 6+ 14 + 2

= 22

5 0

3 years ago

What is the area of a semicircle with a diameter of 14

Neporo4naja [7]

Answer:

76.9690 square units (rounded off to four decimal values)

Step-by-step explanation:

The diameter of the semicircle is 14 units

The radius of the semicircle is thus 14 ÷ 2 = 7 units

Area of a semicircle is given by: $\frac{1}{2}$ × π × r²

In our case, the area is = $\frac{1}{2}$ × π × 7² = 76.9690200129 square units

Or 76.9690 square units (rounded off to four decimal values)

8 0

3 years ago

Read 2 more answers

Please help<br> Thanks in advance

Reil [10]

X=5.29 so the answer would be c

3 0

3 years ago

A point H is 20m away from the foot of a tower on the same horizontal ground. From the point H, the angle of elevation of the po

astra-53 [7]

Answer:

a. See Attachment 1

b. $PT = 12.3\ m$

c. $HT = 31.1\ m$

d. $OH = 28.4\ m$

Step-by-step explanation:

Calculating PT

To calculate PT, we need to get distance OT and OP

Calculating OT;

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

$tan50 = \frac{OT}{20}$

Multiply both sides by 20

$20 * tan50 = \frac{OT}{20} * 20$

$20 * tan50 = OT$

$20 * 1.1918 = OT$

$23.836 = OT$

$OT = 23.836$

Calculating OP;

We have to consider angle 30, distance OH and distance OP

The relationship between these parameters is;

$tan30 = \frac{OP}{20}$

Multiply both sides by 20

$20 * tan30 = \frac{OP}{20} * 20$

$20 * tan30 = OP$

$20 * 0.5774= OP$

$11.548 = OP$

$OP = 11.548$

$PT = OT - OP$

$PT = 23.836 - 11.548$

$PT = 12.288$

$PT = 12.3\ m$ (Approximated)

--------------------------------------------------------

Calculating the distance between H and the top of the tower

This is represented by HT

HT can be calculated using Pythagoras theorem

$HT^2 = OT^2 + OH^2$

Substitute 20 for OH and $OT = 23.836$

$HT^2 = 20^2 + 23.836^2$

$HT^2 = 400 + 568.154896$

$HT^2 = 968.154896$

Take Square Root of both sides

$HT = \sqrt{968.154896}$

$HT = 31.1\ m$ <em>(Approximated)</em>

--------------------------------------------------------

Calculating the position of H

This is represented by OH

See Attachment 2

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

$tan50 = \frac{OH}{OT}$

Multiply both sides by OT

$OT * tan50 = \frac{OH}{OT} * OT$

$OT * tan50 = {OH$

$OT * 1.1918 = OH$

Substitute $OT = 23.836$

$23.836 * 1.1918 = OH$

$28.4= OH$

$OH = 28.4\ m$ <em> (Approximated)</em>

5 0

3 years ago

The coordinates of triangle FGH are F(2, 4), G(5, −9) and H(−3, −4). Which statement proves that triangle FGH is a right triangl

notsponge [240]

We know that

A right triangle has the two legs that form an angle of 90°, which means that the two legs are perpendicular.

In order to prove that FGH is a right triangle, you need to calculate the slopes of the lines passing through its vertexes and see if there is a pair of opposite reciprocals:
m = (y₂ - y₁) / (x₂ - x₁)

m(FG) = (-9 - 4) / (5 - 2) = -13/3
m(FH) = (-4 - 4) / (-3 - 2) = 8/5
m(HG) = (-4 -(-9)) / (-3 - 5) = -5/8
Since m(FH) and m(HG) are opposite reciprocals, FH is perpendicuar to HG and FGH is a right triangle.

4 0

3 years ago

Read 2 more answers