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frozen [14]
2 years ago
7

Solve for x. Round to the nearest tenth of a degree, if necessary.

Mathematics
1 answer:
ziro4ka [17]2 years ago
3 0

Answer:

x ≈ 28.8°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin x = \frac{opposite}{hypotenuse} = \frac{AB}{AC} = \frac{3.9}{8.1} , then

x = sin^{-1} (\frac{3.9}{8.1} ) ≈ 28.8° ( to the nearest tenth )

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Janie ran 3 1/2 miles on monday and 4 1/4 miles on tuesday how many total miles did she run?
Ne4ueva [31]

Answer:

7 3/4

Step-by-step explanation:

change 1/2 to 2/4 add 1/2 and 1/4 then add 3 and 4

3 0
2 years ago
Read 2 more answers
In AIJK, i = 270 cm, j = 170 cm and _K=122°. Find the area of AIJK, to the
Softa [21]

9514 1404 393

Answer:

  19,463 cm²

Step-by-step explanation:

The area is given by the formula ...

  A = (1/2)ij·sin(K)

Filling in the values, we find the area to be ...

  A = (1/2)(270 cm)(170 cm)·sin(122°) ≈ 19,463 cm²

7 0
2 years ago
Pamela's age is two times Jiri's age. The sum of their ages is <br> 33<br> . What is Jiri's age?
notka56 [123]
Let x is Jiri's age
2x is Pamela's age

x + 2x = 33
3x =33
x = 33/3
x =11
Answer: Jiri's age is 11
4 0
2 years ago
Read 2 more answers
Please help me with this
satela [25.4K]
Area of the trapezoid:
\frac{12.8 + 4.2}{2} (4.9) = 41.65 cm^2

Area of the rectangle:
4.2 x 3.1 = 13.02 cm^2

Area of each quarter circle:
\frac{ \pi  (3.1)^{2} }{4} = 7.54 cm^2

We have two quarter circles:
7.54 + 7.54 = 15.08

41.65 + 13.02 + 15.08 = 69.75 cm^2
5 0
2 years ago
What would the answers to these be?
amm1812

The first equation, 8x - 9y = - 23

Obtain the equation in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = ( \frac{1}{2}, 3) and (x₂, y₂ ) = (- 4, - 1 )

m = \frac{-1-3}{-4-1/2} = (- 4)/- \frac{9}{2} = \frac{8}{9}

partial equation is y = \frac{8}{9} x + c

to find c substitute either of the 2 points into the partial equation

using (- 4, - 1 ), then

- 1 = - \frac{32}{9} + c ⇒ c = \frac{23}{9}

y = \frac{8}{9} x +\frac{23}{9} ← in slope- intercept form

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

rearrange the slope- intercept equation into this form

multiply through by 9

9y =  8x + 23 ( subtract 9y and 23 from both sides )

8x - 9y = - 23 in standard form


4 0
3 years ago
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