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3 years ago

Solve for a in the diagram below.

Mathematics

2 answers:

Marat540 [252]3 years ago

8 0

Answer:

Step-by-step explanation:

Angles form a right angle, hence they add up to 90

x + 2x + x + 10 = 90

4x + 10 = 90

4x = 80

x = 20

Tresset [83]3 years ago

7 0

Answer:

Step-by-step explanation:

We can tell from the little square in the corner that this is a 90 degree angle, so all three of the expressions of x should add up to 90:

x + 2x + (x + 10) = 90

Combine like terms:

4x + 10 = 90

4x = 80

Divide by 4:

x = 80/4 = 20

The answer is 20.

Hope this helps!

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Ajay is on the swim team. He improved his time on

ozzi

Answer:

5%

Step-by-step explanation

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1.61-1.56= 0.05* 100= 5%

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2 years ago

A right triangle (90) has a one angle that measures 35 degrees. What is the measure of the third angle?

pychu [463]

Answer:

55°

Step-by-step explanation:

triangle= 180°

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2 years ago

(-2,3) is one vertex of a square on a coordinate plane. Name three points that could be the other vertices.

wariber [46]

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Hope that helps :)

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2 years ago

Find (a) arc length and (b) Area of a sector.

barxatty [35]

Answer:

a) 29.45 cm (2 dp)

b) 220.89 cm² (2 dp)

Step-by-step explanation:

Formula

$\textsf{Arc length}=r \theta$

$\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta$

$\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}$

Calculation

Given:

$\theta=\dfrac{5 \pi}{8}$
r = 15 cm

$\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}$

$\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}$

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1 year ago

Which expression is equivalent to (10 +7r−r2)+(−6r2−18+5r)

vichka [17]

Answer: after adding them -7r^2+12r-8

Step-by-step explanation: add them

4 0

2 years ago

Read 2 more answers