Round your answers to the nearest tenth.
B
a
15
b
47°
B =
a =
b =

Round Your Answers To The Nearest Tenth.Ba 15b47B =a =b =

Answers

Answer 1

Answer:

  B = 43°

  a = 11.0

  b = 10.2

Step-by-step explanation:

The relationship between side lengths and trig functions in a right triangle is summarized in the mnemonic SOH CAH TOA. It tells you, for example, ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

__

Applied to this triangle, the unknown sides can be found from ...

  sin(47°) = a/15

  a = 15·sin(47°) ≈ 11.0

and

  cos(47°) = b/15

  b = 15·cos(47°) ≈ 10.2

__

The second acute angle in a right triangle is the complement of the first:

  B = 90° -47° = 43°


Related Questions

What percent of 4c in each expression?
0.04c

Answers

Answer:

1%

Step-by-step explanation:

0.04c multiplied by 100 is 4.

Answer:

1%

Step-by-step explanation:

Mostly because you see 0.04c is exactly 1% of 4c. Which means a hundred 0.04c will be required to get 4c.

PLS HELLLLP!!!!!!!! I need 10 people to answer within the next 20 minutes what their favorite shoe brand. It is for an Algebra Project due Monday.

Answers

Answer:

Keen

Step-by-step explanation:

Favorite shoe brand = Keen

Answer:

Nike

Step-by-step explanation:

Nike shoes are great and comfy

A Panel in a stained-glass window in the shape of a parallelogram has the dimensions shown. Find the area of the panel.

Answers

Answer: 20 sq ft

Step-by-step explanation: The base is AB = 5 ft because AB = CD. Recall that opposite sides in a parallelogram are congruent and parallel.

area of parallelogram = base * height = 5*4 = 20

note: the base is always perpendicular to the height

please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)

Answers

Answer:  8.9

========================================================

Explanation:

Check out the diagram below.

a = 6.3 inchesb = 6.3 inchesc = unknown hypotenuse

Use the Pythagorean Theorem to find the length of c.

[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\c = \sqrt{(6.3)^2 + (6.3)^2}\\\\c = \sqrt{39.69+39.69}\\\\c = \sqrt{79.38}\\\\c \approx 8.9095\\\\c \approx 8.9\\\\[/tex]

The distance from one corner to the opposite corner is about 8.9 inches.

The radius of a circle is 1 in. Find the circumference \textit{to the nearest tenth}to the nearest tenth.

Answers

Answer:

The circumference is 6.3 in

The circumference of the circle is given by the equation C = 6.3 inches

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the circumference of the circle be represented as C

Now , the equation will be

Let the radius of the circle be r = 1 inch

Now , circumference of circle = 2πr

Substituting the values in the equation , we get

The circumference of the circle C = 2 ( 3.14159 ) x 1

On simplifying the equation , we get

The circumference of the circle C = 6.3 inches

Hence , the circumference of the circle is 6.3 inches

To learn more about circle click :

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A bag contains 5 blue marbles and 3 yellow marbles. You randomly select two marbles from the bag. What is the probability that both marbles are blue when you replace each marble before selecting the next marble? Write your answer as a decimal rounded to three decimal places.

Answers

Answer:

0.625

Step-by-step explanation:

5/8 because there are 5 blue marbles and there are 3 yellow marbles. If you add them it equals 8.

The probability is 5/8.

If you do 5 divided by 8 it gives you 0.625.

Honestly i don't know what you mean by "rounded to three decimal places."

Sorry if it's not really healpful.

Find the value of x.

31.5
68.3
26.7
11.

Answers

Answer:

26.7

Step-by-step explanation:

Using trigonometric ratio, we find:

[tex]\sin 67\degree= \frac{x}{29}[/tex]

[tex]\implies x = 29\sin 67\degree[/tex]

[tex]\implies x =26.69464075[/tex]

[tex]\implies x \approx 26.7[/tex]

fast i need it thanks

Answers

Answer:

trigonometry is difficult haha….  Answer is 8.81 I think

Step-by-step explanation:

The diagram shows an empty cylindrical container. Ana puts a solid cube of side length 8 cm into the container. She then pours 1.5 litres of water into the container. Will the water come over the top of the container? Explain your answer and show all your working.​

Answers

Answer:

Cylinder

[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

r = 6 cmh = 18 cm

[tex]\begin{aligned}\implies \sf V &= \sf \pi (6)^2(18)\\& = \sf 648 \pi \: cm^3\end{aligned}[/tex]

Cube

[tex]\textsf{Volume of a cube}=\sf x^3\quad\textsf{(where x is the side length)}[/tex]

Given:

x = 8 cm

[tex]\begin{aligned}\implies \sf V &= 8^3\\& = \sf 512 \: cm^3\end{aligned}[/tex]

Volume available to be filled with water

Volume of cylinder - volume of cube

= 684π - 512

= 1532.75204 cm³

    1 litre = 1000 cm³

⇒ 1.5 litres = 1000 × 1.5 = 1500 cm³

As 1500 < 1532.75204, the volume of water poured into the container is smaller than the empty space available in the cylinder.  Therefore, the water will not come over the top of the container.

A box is 50 cm long. Which of these is the closet to the length of this box in feet ? (1 inch = 2.54cm)

Answers

19 feet is the closest without going over 50cm

Answer:

1ft 7.7in/1.64 ft

Step-by-step explanation:

50/2.54=19.69in

12in=1ft

so 1ft 7.7in

19.69/12=1.64

Which equation represents the relationship between the Cost in dollars, C, and the pounds of apples, a, bought?

Answers

The cost is 3 times the amount of the apples.

C = 3a

find the value of each of the lettered angles in the diagram below​

Answers

Answer:

Step-by-step explanation:

Remark

You have an isosceles triangle. That means that the angles opposite the marked sides are equal. So mark the angle on the lower left of the triangle as 50 degrees.

The solution to problem depends on the fact that the sum of the two inside angles of the triangle (each of which is marked as 50 degrees) not supplementary to the exterior angle, are still equal to the exterior angle.

Givens

<1 = 50 degrees

<2 = 50 degrees

Exterior angle = 15x + 25   Substitute the givens into the equation

Equation

<1 + <2 = 15x + 25

Solution

50 + 50  = 15x + 25                       Combine the left side

100 = 15x + 25                               Subtract 25 from both sides

100 - 25 = 15x + 25 - 25                Combine

75 = 15x                                          Divide both sides by 15

75/15 = 15x/15                      

5 = x

Answer

<1 = 50 degrees

<2 = 50 degrees

15x + 25 = 75 + 25 = 100

HEy does anyone go to Purchase line High school in Pennsylvania? And is in 8th grade
please only answer if you are, please

Answers

No I’m not I got to los lunas middle school in New Mexico

Please some one help with this question

Answers

Answer:

Where is the picture????

the nearest known exoplanet from earth is 4.25 light years away .how many km is this? give your answer in standard form

Answers

Answer:

4.021 × 10¹³ km

Step-by-step explanation:

The conversion factor of light years to km is;

1 light year = 9.461 × 10¹² km

Thus;

4.25 light years = 4.25 × 9.461 × 10¹² km = 4.021 × 10¹³ km

Given the function f(x) = 8x-1, what is the corresponding value when x = -1?

Answers

given ,

f(x) = 8x-1

For f(-1) = 8(-1)-1 = -8-1 = -9 is the answer

Write 9.30 in scientific notation

Please help :)
I’ll give brainliest to whoever comments first and gets it right!

Answers

Answer:

9.30 × 10⁰ bro that was so easy

This is the Answer I got: The number 0.0000000930 in scientific notation is written as 9.30 × 10-8

Find the values of x for which the function is continuous.
f(x) =

−3x + 7 if x < 0
x^2 + 7 if x ≥ 0

a.x ≠ 0

b.x ≥ 0


c.x ≥ root square 7
d.all real numbers

e.x ≠ 7

Answers

It looks like the given function is

[tex]f(x) = \begin{cases}-3x + 7 & \text{if }x < 0 \\ x^2+7 & \text{if }x \ge0\end{cases}[/tex]

The two pieces of f(x) are continuous since they are polynomials, so we only need to worry about the point at which they meet, x = 0. f(x) is continuous there if

[tex]\displaystyle \lim_{x\to0^-} f(x) = \lim_{x\to0^+} f(x) = f(0) = 7[/tex]

To the left of x = 0, we have x < 0, so f(x) = -3x + 7 :

[tex]\displaystyle \lim_{x\to0^-} f(x) = \lim_{x\to0} (-3x + 7) = 7[/tex]

To the right of x = 0, we have x > 0 and f(x) = x² + 7 :

[tex]\displaystyle \lim_{x\to0^+} f(x) = \lim_{x\to0} (x^2 + 7) = 7[/tex]

So f(x) is continuous at x = 0, and hence continuous for all real numbers.

The height of a triangle is 12 centimeters more than its base. The area of the triangle is 189 square centimeters Find the base and height of the tiangle?

Answers

Answer:

C

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

so, we know in our case

b(b+12) = 189 cm²

b² + 12b - 189 = 0

let's try to solve this by completing the square.

that means we try to find the expression

(b + k)² + c

that is equal to

b² + 12b - 189

(b + k)² + c = b² + 2kb + k² + c = b² + 12b - 189

so,

2k = 12

k = 6

and then

k² + c = -189

6² + c = -189

36 + c = -189

c = -225

(b + 6)² - 225 = 0

(b + 6)² = 225

b + 6 = 15

b = 9

so, the baseline b = 9 cm.

the height b+12 = 9+12 = 21 cm.

check the attachment please. I also need to know the value of y​

Answers

Answer:

Angle MBR = 31°

y = 14

Step-by-step explanation:

There is a tiny red square in angle MBH that means it is a right angle. Right angles are 90°. So the 59° angle and the angle marked (y+17)° together make a 90° angle. That helps us write an equation.

59 + y + 17 = 90

add.

76 + y = 90

subtract 76.

y = 14

Then you can find Angle MBR:

y + 17

= 14 + 17

= 31

Alternatively, you could find MBR first and then find y. It comes out the same either way.

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line, using the disk/washer method. Sketch the region, the solid, and a typical disk or washer.y = (x - 2)^2 ; y=2x-1 ; about the line y = -1

Answers

Check the picture below.

to check where the functions intersect, we can simply set them equal to each other so (x-2)² = 2x - 1, anyhow, not to bore you to death with that, it's as the picture shows it, at x = 1 and x = 5, so those are our bounds.

to get the R² part of the washer, what I do is using the "area under the curve" method of f(x) - g(x), where g(x) is the axis of rotation and f(x) is the farthest radius, so to get R² I'd process (x-2)² - (-1), that'd give me R and then I'd square that.

to get r², I do pretty much the same thing, f(x) - g(x) where g(x) is the axis of rotation and f(x) is the closest radius, in this namely (2x - 1) - (-1), and that'd give "r" and then we can square that to get r².

[tex]\begin{cases} R = 2x\\ r = x^2-4x+5 \end{cases}\hspace{5em} \begin{array}{llll} \stackrel{R^2}{4x^2}~~ - ~~\stackrel{r^2}{(x^4-8x^3+26x^2-40x+25)} \\\\\\ -x^4+8x^3-22x^2+40x-25 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \displaystyle \pi \int\limits_{1}^{5}(-x^4+8x^3-22x^2+40x-25)dx \\\\\\ \pi \left[ -\cfrac{x^5}{5}+2x^4-\cfrac{22x^3}{3} +20x^2-25x\right]_{1}^{5}\implies \cfrac{1408\pi }{15}[/tex]

Hi! really need help with my math and its due tmrw please helppp Also make sure
to slide over to see the other problems sorry if its glitchy.

Answers

Answer:

The value of x is equal to 109

Events a and b are independent. the probability of a occurring is . the probability of b occurring is . what is p(a and b)?

Answers

Since events a and b are independent P(a and b) = P(a) × P(b)

To answer the question, we need to know what probability is

What is probability?

Probability is the likelihood of an event to occur. The probability of the event P(event) = number of required outcomes/total number of outcomes

Probability of independent events

If we have two independent event sa and b that have probabilities of occuring P(a) and P(b) respectively, the probability P(a and b) = P(a) × P(b)

So, P(a and b) = P(a) × P(b)

Learn more about probability here:

brainly.com/question/25839839

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Find the area of the figure. Round to the nearest TENTH.

Answers

Answer:

Step-by-step explanation:

12 multiplied by 9 is 108. That gives us the square. The triangle base is 9. The height is 7. 7 multiplied by 9 is 63. 63 divided by 2 is 31.5. 108 add 31.5 is 139.5 cm squared.

Answer:

A=L*B

=12*9

=108

A=0.5base *H

=0.5(9)*7

=31.5

A=108+31.5

A=139.5

What are the coordinates for D?

options:

(-3, 2)


(-3, -1)


(-2, -3)


(-3, -2)

Answers

Answer:

(-3, -2)

Explanation:

Coordinates are represented in the form of (x, y)

To know the x coordinates see the value on the x-axis.

To know the y coordinates see the value on the y-axis.

From there we can identify:

A = (x, y) = (-4, 4)

B = (x, y) = (2, 2)

C = (x, y) = (0, -5)

D = (x, y) = (-3, -2) ← Required answer.

What is the length of DE?

A. 5
B. 7
C. 6
D. 8

Answers

Answer:

the answer is 5. I think because it's a trian

A. 5 I think.....the length of DE is 5.

Express 2x² - 12x + 7 in the form a (x + b)² + c, where a, b and c are constants.

Answers

Answer:

2(x-3)² - 11 where a = 2, b = -3, c = -11

Step-by-step explanation:

Taking the first 2 terms,

2x² - 12x ==> 2(x² -6x)   [1]

x² -6x can be rewritten as (x -3)² - 9 [2]

since (x-3)² = x² -6x + 9  

Substituting for x² -6x in [1] we get

2(x² -6x) = 2((x -3)² - 9 ) = 2(x-3)² -18

Therefore substituting for 2x² - 12x in the original equation we get

2x² - 12x + 7 = 2(x-3)² -18 + 7 ==> 2(x-3)² -11

this is in the form (a(x+b) + c where a = 2, b = -3 and c= -11

Cross-check
2(x-3)² - 11 ==> 2 (x² -6x +9) -11 ==> 2x² -12x +18 - 11 ==> 2x² -12x + 7

#8 HELP IM STUCK ON THIS

Answers

Answer:

12 ft

Step-by-step explanation:

for the model is 1 and the actual is 5

conversion yards to feet

3 feet = 1 yard

20 * 3 = 60

60/5 = 12

your answers 12 ft

hope this helps:)

Determine the standard form of the equation of the line that passes through (-5,0) and (0,-9)
a. 5x + 9y = -45
c. -9x + 5y = 45
b. 9x + 5y = -45
d. 5x - 9y = 45

Answers

Answer:

Step-by-step explanation:

Determine the standard form of the equation of the line that passes through (-5,0) and (0,-9)

a. 5x + 9y = -45

c. -9x + 5y = 45

b. 9x + 5y = -45

d. 5x - 9y = 45

Simplify the expression (4x2y3)2

Answers

Answer:

8x^2 2y^3

Step-by-step explanation:

This is the answer of (4x2y3)2
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There were hardly any fish left.Narrator: The prince often listened to where the village fishermen planned to go, and he would always get there first to eat his fill of the delicious fish. With his father's cloak around his shoulders, the prince could transform into a shark whenever he chose. The fishermen were becoming suspicious.Exit fishermen. Prince creeps down to the water's edge and wraps the cloak around his shoulders before jumping into the sea. A shark fin can be seen heading out into the water. Enter fishermen.Fisherman 1: I knew it! That trickster boy has been stealing our fish.Fisherman 2: It's not right, using magic to rob honest people of food and a living.Fisherman 1: He must go.Read the excerpt from the story Hummingbird and Heron:The two birds began to argue over who had eaten more fish. Finally, Hummingbird raised his wing to stop the debate."I do not think there are enough fish left in the river for both of us," he said. "Let's have a race. 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