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frozen [14]
3 years ago
11

What is the m∠R? Round your answer to the nearest tenth. *

Mathematics
1 answer:
OLEGan [10]3 years ago
8 0

Answer:

D) 67.4°

Step-by-step explanation:

by observation, and noting that triangle PQR is a right triangle

sin R = opposite length / hypotenuse

in our case, the hypotenuse is PR = 13 and the length opposite form R is QP = 12

hence

sin R = opposite length / hypotenuse

sin R = 12/13

R = sin⁻¹ (12/13) = 67.4⁰

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I need help with premetier and area for 7 8 9
SCORPION-xisa [38]

The answers to the three shapes are:

Figure 7; perimeter = 16.2mm, area = 12.64 square mm

Figure 8; perimeter = 15.2inches, area = 9.61 square inches

Figure 9; perimeter = 21.47yards,  area = 16.81 square yards

<h3>What is the perimeter of a shape?</h3>

Perimeter is the outside boundary of a plane shape.

Analysis:

for figure 7, perimeter = s + s + s = 3s = 3(5.4) = 16.2mm

                   Height of triangle = \sqrt{((5.4)^{2} - (2.7)^{2}  } = 4.68

            Area of triangle = 1/2 base x height = 1/2 x 5.4 x 4.68 = 12.64mm^{2}

For figure 8, perimeter = b + b + a = 5.9 + 5.9 + 3.4 = 15.2 inches

                     Height of triangle = \sqrt{(5.9)^{2}  - (1.7)^{2} } = 5.65inches

           Area of triangle = 1/2 base x height = 1/2 x 3.4 x 5.65 = 9.61inches^{2}

For figure 9, perimeter = b + a + c = 8.2 + 4.1 + 9.17 = 21.47yards

           Area of triangle = 1/2 x base x height = 1/2 x 8.2 x 4.1 = 16.81yards^{2}

In conclusion, the perimeter and area of the given shapes are:

Figure 7; perimeter = 16.2mm, area = 12.64 square mm

Figure 8; perimeter = 15.2inches, area = 9.61 square inches

Figure 9; perimeter = 21.47yards,  area = 16.81 square yards

Learn more about perimeter of plane shapes: brainly.com/question/2569205

#SPJ1

5 0
2 years ago
Solve this equation<br>-2(4-7)+5(4+7)​
gayaneshka [121]

You can simplify this expression with PEMDAS (parentheses, exponents, multiplication/division, addition/subtraction)

Start with the expressions in the parentheses:

4-7=-3

4+7=11

The expression now reads -2(-3)+5(11).  Now, simplify the multiplication expressions:

-2*-3=6

5*11=55

The expression is 6+55 which is 61.

Hope this helps!!

6 0
3 years ago
henry is mixing concrete. to make concrete he needs to mix cement, sand and gravel in the ratio 5 : 4 : 1 by weight. henry needs
MaRussiya [10]

Answer:

cement by 5 Kg

Step-by-step explanation:

add the parts of the ratio, 5 + 4 + 1 = 10 parts

Divide the quantity of concrete by 10 to find the value of one part of the ratio.

110Kg ÷ 10 = 11Kg ← value of 1 part of ratio , thus

5 parts = 5 × 11Kg = 55Kg ← cement required

4 parts = 4 × 11Kg = 44Kg  ← sand required

1 part = 11Kg ← gravel required

He requires 55Kg of concrete but only has 50Kg.

He requires 44Kg of sand and has 55Kg

He requires 11Kg of gravel and has 15Kg

Thus he is 5Kg short of cement.

7 0
3 years ago
Write the equation of circle with diameter of 10 units centered at (- 2, 1) .
kvasek [131]

Answer:

(x+2)^2 + (y-1)^2 = 25

Step-by-step explanation:

We want to write the equation of a circle with a diameter of 10 units centered on (-2, 1).

Recall that the equation of a circle has the standard form:

(x-h)^2 + (y-k)^2 = r^2

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.

Since our diameter is 10, our radius is 5.

And since the center is at (-2, 1), <em>h</em> = -2 and <em>k</em> = 1.

Substitute:

\displaystyle (x - (-2))^2 + (y - (1))^2 = (5)^2

And simplify. Hence, our equation is:

(x+2)^2 + (y-1)^2 = 25

7 0
3 years ago
What's the answer PLZZZ HELP the topic btw is reasoning in math
Sergeu [11.5K]

3 + 4x - 3x = 4 is given

3 + x = 4 is combine like terms (4x and -3x were combined to 1x)

x = 1 is subtraction property of equality (3 was subtracted from both sides of the equation)

6 0
3 years ago
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