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Anni [7]
3 years ago
10

What is measure of angle P?

Mathematics
2 answers:
masya89 [10]3 years ago
6 0
Sin P = opp/hyp
sin P = 15/17
P = sin⁻¹(15/17)
P = 61.93° (nearest hundredth)
Oliga [24]3 years ago
5 0

Answer:

The measure of angle P is 61.93°

Step-by-step explanation:

We are given a right triangle with measures 8 cm, 15 cm and 17 cm.

For angle P, we see that,

Perpendicular = 15 cm

Hypotenuse = 17 cm

Using the trigonometric forms of the angles, we have,

\sin P=\frac{Perpendicular}{Hypotenuse}

i.e. \sin P=\frac{15}{17}

i.e. \sin P=0.88235

i.e. P=\arcsin 0.88235

i.e. P = 61.93°

Hence, the measure of angle P is 61.93°.

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A rectangle's length is seven times its width. The perimeter of the rectangle is one hundred sixty feet.
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Answer:

Area=700 square ft

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Question 3 of 10 A Assume EFG = JKL. If mLJ = 90°, mL K = 26°, and m< L = 64°, what is the measure of < E?
kumpel [21]

The measure of angle E will be 90 degrees as well.

Assume EFG = JKL.

If mLJ = 90°, mL K = 26°, and m< L = 64°,

<h3>What is the congruent triangle?</h3>

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

We have been given an image of two congruent triangles.

Since, EFG = JKL

therefore, the corresponding angles will be congruent.

m < J = 90° = m< E = 90

By congruence measure of angle, J will be equal to the measure of angle E.

Hence, The measure of angle E will be 90 degrees as well.

Learn more about congruent;

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4 0
2 years ago
A scale model of a bicycle has a scale of 1 : 10. The real bicycle has a length of 1.6 m. What is the length of the model in cm?
garri49 [273]

Answer:

16 cm

Step-by-step explanation:

1.6 m = 160 cm

Model length = 160 / 10 = 16 cm

7 0
3 years ago
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If a+ b + c= -6 and x +y = 5, what is 9y +9x - 10a-10c -10b ?
Lisa [10]

Answer:

9y +9x - 10a-10c -10b = 105

Step-by-step explanation:

Given

a+b+c = -6 and x+y = 5

We have to find 9y +9x - 10a-10c -10b

Rearranging the terms

9x+9y-10a-10b-10c

Simplifying will give us:

= 9 (x+y) - 10(a+b+c)

Putting the values of x+y and a+b+c

= 9(5) -10(-6)

=45+60

=105

Therefore,

9y +9x - 10a-10c -10b = 105 ..

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3 years ago
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Find the diameter and radius of a circle with a circumference of 65.98 Please help ​
viva [34]

Answer:

21 and 10.5 respectively

Step-by-step explanation:

Remember circumference of a circle is given as;

C= 2×π×r; r is raduis

r = C / 2×π

=65.98/(2×3.142)= 10.50

D= 2× r = 2× 10.50= 21.0( D represent diameter)

Note π = 3.142 a known constant

6 0
3 years ago
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