solve for a side in right triangles

Solve For A Side In Right Triangles

Answers

Answer 1

Answer:

? =8.77

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite side/ hypotenuse

sin 20 = 3 / ?

? = 3/ sin 20

? = 8.7714132

To the nearest hundredth

? =8.77


Related Questions

help me whit this pls

Answers

Answer:

960cbin

Step-by-step explanation:

Answer:

320

Step-by-step explanation:

The formula for the volume of a pyramid is V= (b x h)/3

v is the volume

b is the base you get it by multiplying the bases length and width in this case it would be 80 in( since 8 x 10 is 80)

h is the height in this case it would be 12 in

V= (b x h)/3

V= (80 x 12)/3

V= (960)/3

V= 320 in

if ZA and ZB are supplementary angles. if mZA = (3x-23) and mZB= (2x-12) then find the measure of ZB​

Answers

Answer:

mZB= 74

Step-by-step explanation:

ZB+ZA=180

3X-23+2X-12=180

5X-35=180

5X=180+35

5X=215  (then divide both sides by 5 to x be left alone.)

X=43....so ZB=2(43)-12

                     =86-12=74

The width of a rectangle is 5 inches. The length of the rectangle is twice the width. Find the perimeter of the rectangle.



PLZZZZZZZZ HELP

Answers

Answer: the perimeter of the rectangle is 30

Step-by-step explanation: so we know that the width of the rectangle is 5. Then it says that the length is two times more than the width....

5 times 2

Which is 10

Now all is left, you find the perimeter (all sides)

5+5+10+10

10+20

30

Therefore,

The perimeter of the rectangle is 30

Answer: 30

Step-by-step explanation: If the width is 5 and the length is twice the width then the length is going to be 10.

p=2(L+W)= 2(10+5)

                  2 x 15= 30

For what values of x'is x2 + 2x = 24 true?
--6 and -4
4 and 6
4 and -6
6 and 4
Next
Save and Exit

Answers

Answer:

[tex] \boxed{Values \: true \: of \: 'x' \: for \: equation \: {x}^{2} + 2x = 24 \: is \: -6 \: and \: 4} [/tex]

Step-by-step explanation:

[tex] = > {x}^{2} + 2x = 24 \\ \\ = > {x}^{2} + 2x - 24 = 0 \\ \\ = > {x}^{2} + (6 - 4)x - 24 = 0 \\ \\ = > {x}^{2} + 6x - 4x - 24 = 0 \\ \\ = > x(x + 6) - 4(x + 6) = 0 \\ \\ = > (x + 6)(x - 4) = 0 \\ \\ = > x + 6 = 0 \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: \: x - 4 = 0 \\ \\ = > x = - 6 \: \: \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: \: x = 4[/tex]

Values true of 'x' for equation x² + 2x = 24 is -6 and 4

Help please! I really don't know this! I will mark brainliest if you get it right!!!
Each of the dimensions of a pyramid are doubled. What is true about the volume of the new pyramid?
A) The new pyramid has a volume that is One-half the volume of the original pyramid.
B) The new pyramid has a volume that is 2 times the volume of the original pyramid.
C) The new pyramid has a volume that is 4 times the volume of the original pyramid.
D) The new pyramid has a volume that is 8 times the volume of the original pyramid.

Answers

Answer:

D

Step-by-step explanation:

Given that the scale factor of the new to old pyramid is k = 2

Then the volume of the new pyramid is k³ times the volume of the original.

k³ = 2³ = 8

The new pyramid has a volume that is 8 times the volume of the original  D

Find the length QR.
if QP is 6 and PR is 7​

Answers

Answer: Problee like 20 ft

Step-by-step explanation:

Beetle juice never lies

Vivian red 14 fewer pages than she was assigned to read she read 60 Pages write and solve an equation to find how many pages P Vivian was assigned to read

Answers

Answer:

P=74

Step-by-step explanation:

i think the answer is p = 74!

Are those line below parallel,perpendicular,intersecting? Explain how you know.

Answers

Answer:

These are paralell because they are even to eachother

Step-by-step explanation:

perpendicular means that they are like a plus sign

and intersecting means they intersect at some point.

Answer:

The answers is They are parallel because they are even and there is no difference between the two.

Hope This Helps!!!!! :)

B) David and Andrew are traveling to a Mathematics conference. David travels 110 miles in the same time that Andrew travels 140 miles. Andrew travels 15 miles per hour faster than David. Find the average rate of each person.

Answers

Answer:

David's average speed is 55 mph and Andrew's average speed is 70 mph

Step-by-step explanation:

Let David's speed be s.

Average speed is given as:

speed = distance / time

They both spent the same time, t.

David's speed is:

s = 110 / t

=> t = 110 / s

Andrew travels 15 mph faster than David.

Andrew's speed is:

(15 + s) = 140 / t

=> t = 140 / (15 + s)

Therefore, since they spent the same time:

110 / s = 140 / (15 + s)

Cross multiply:

110(15 + s) = 140s

1650 + 110s = 140s

1650 = 140s - 110s

30s = 1650

s = 1650 / 30

s = 55 mph

Andrew's speed is:

15 + 55 = 70 mph

Therefore, David's average speed is 55 mph and Andrew's average speed is 70 mph.

which is bigger 67/72 or 11/12

Answers

Answer:

[tex]\frac{67}{72}[/tex]

Step-by-step explanation:

Just convert them into rounded decimals:

[tex]\frac{67}{72} = 0.9305555...[/tex]

[tex]\frac{11}{12} = 0.523809...[/tex]

Answer:

67/72

Step-by-step explanation:

What is the y-intercept of y=-3x + 6?
A. -6
B. -3
C. 3
D. 6

Answers

Answer:

D. 6

Step-by-step explanation:

the last number in the equation is the y-intercept. The answer properly written would be (0,6). Hope this helped!

Answer:

D

Step-by-step explanation:

Each gallon of paint covers 200 square feet. I have to paint one side of a wall that is 12 meters tall and 80 meters long. If a foot is approximately 0.3048 meters, then what is the smallest whole number of gallons I can buy and have enough paint to cover the whole wall? Plz answer immediately, the answer is not 9 gallons.

Answers

Answer:

51 gal

Step-by-step explanation:

Find the area of the wall you need to paint:

12 m * 80 m = 960 m^2

Use conversion rate to convert square meters to square feet (first, make the conversion rate into square meters instead of regular meters):

1 ft / 0.3048 m -> 1^2 ft / 0.3048^2 m^2

960 m^2 * (1 ft^2 / 0.3048^2 m^2)

Square meters cancel out, we are left with square feet:

960 * (1 ft^2 / 0.3048^2) = 10333.354 ft^2

Now, find how many gallons of paint by dividing by 200 square feet:

10333.354 ft^2 / 200 =~ 51.66 gal

Round up to the nearest whole number:

51.66 =~ 51 gal

The smallest whole number of gallons require to paint the wall is 52 gallons.

1 gallon of paint = 200 ft²

I foot = 0.3048 metres

Dimension of wall :

12 metre by 80 metre

Converting the dimension to feet :

12 meter / 0.3084 = 39.370078 feets

80 meter / 0.3084 = 262.46719 feets

Hence, the area of the wall in feet²:

Area = Length × width

Area of wall = 262.46719 × 39.370078 = 10333.3537427408 ft²

Let number of falloms required = x

Since,

1 gallon = 200 ft²

x gallons = 10093.516 ft²

Cross multiply :

200x = 10093.516

x = 10333.35374274082 / 200

x = 51.6667687137041 gallons

x = 52 gallons

Hence, the smallest number of gallons required to paint the wall is 52 gallons of paint

Learn more : https://brainly.com/question/12357849

Please help me with this question. I will award brainliest answer!!

Answers

Answer:

A. 13 ft

Step-by-step explanation:

Volume= [tex]\frac{4225pi }{3}[/tex]ft³

Height= 25

Volume= πr²[tex]\frac{h}{3}[/tex]

Volume= 3.14 ×r²×[tex]\frac{25}{3}[/tex]

[tex]\frac{157}{6}[/tex] r²= [tex]\frac{4225pi }{3}[/tex]

r²= [tex]\frac{4225\pi }{3}[/tex] × [tex]\frac{6}{157}[/tex]

r²= 169 (estimate)

r=√169

r= 13

The first two steps in determining the solution set of the system of equations, y = -x2 + 4x + 12 and y=-3x + 24, algebraically
are shown in the table.
Step
Equation
Step 1
-x² + 4x + 12 =-3x+24
Step 2
x2 - 7x+12-0
Which represents the solution(s) of this system of equations?
(3, 15)
(-4, 36)
(3, 15) and (4, 12)
(-3, 33) and (-4,36)

Answers

Answer:

(3, 15) and (4, 12)

Step-by-step explanation:

x2 - 7x+12 = 0 factors to (x - 4)(x - 3) = 0, and so x:  {3, 4}.

Since y= -3x + 24, y = 15 when x = 3 and y = 12 when x = 4.  The solutions are thus (3, 15) and (4, 12).  This is the third answer choice.

Answer:

see the explanation

Step-by-step explanation:

Y = –x2 + 4x + 12

y = –3x + 24

so

–x2 + 4x + 12 =  –3x + 24

x^2 -7x + 12 = 0

(x - 4)(x - 3) = 0

x - 4 =0; x =4

x - 3 = 0; x= 3

y = –3x + 24 = -3(3) + 24 = -9+24 = 15 (when x = 3)

y = –3x + 24 = -3(4) + 24 = -12+24 = 12 (when x = 4)

answer

(3, 15) and (4, 12)

(give this a heart cause why not)

at a city hospital 40 boys and 50 girls were born yesterday. what is the experimental probability that the next baby born will be a girl

Answers

Answer:

around 44%

Step-by-step explanation:

You add 40+50 in order to find the total number of babies born. Only 40 of those 90 were girls. Divide 40 by 90 in order to get the decimal .444444. This is turned into a percentage by moving the decimal place right 2 places.

All the children of a class were asked to choose between the cartoon shows 'Shin Chan' and 'Tom and Jerry'.The ratio of children who selected the cartoon 'Shin Chan' to those who selected the cartoon 'Tom and Jerry', was 3:1.
If 45 kids selected 'Shin Chan', how many students are there in the class totally?

Answers

Answer:

There were 60 kids in class.

Step-by-step explanation:

Since the kids had two choices and the ratio between them was for every 3 children that selected "Shin Chan" only 1 selected "Tom and Jerry", then in order to calculate the number of children in the class if 45 kids selected "Shin Chan", we first need to calculate the number of children that selected the other option. To do that we divide the number by 3. We have:

children(Tom and Jerry) = children(Shin Chan)/3

children(Tom and Jerry) = 45/3 = 15

Therefore the number of children in the class is:

children(class) = children(Tom and Jerry) + children(Shin Chan)

children(class) = 15 + 45 = 60

There were 60 kids in class.

Find the volume of the square pyramid. The work has been started for you.


V = 1

3

Bh


B = 6.5(6.5) = 42.25 m2


A square pyramid. The square base has side lengths of 6.5 meters and the height of 6 meters.


What is the volume of the pyramid?

42.25 m3

84.5 m3

126.75 m3

253.5 m3

Answers

Answer:

84.5 cubic meters

Step-by-step explanation:

Hello, I can help you with this.the solution is shown in the problem

let's remember el volume of a pyramid

[tex]Volume= \frac{1}{3}*B*h[/tex]

where B is the area of the base of the pyramid, and h is its height.

Step one

all you have to do is put the values into the equation

Let

B=42.25 square meters

h=6 meters

[tex]Volume= \frac{1}{3}*B*h\\Volume= \frac{1}{3}*42.25\ m^{2} *6\ m\\Volume=\frac{1*42.25*6\ m^{3}}{3} \\Volume=84.5\ m^{3}[/tex]

I really hope this helps you, have a great day.

Answer:

84.5 cubic meters

Step-by-step explanation:

Hello, I can help you with this.the solution is shown in the problem

let's remember el volume of a pyramid

where B is the area of the base of the pyramid, and h is its height.

Step one

all you have to do is put the values into the equation

Let

B=42.25 square meters

h=6 meters

plz make brainliest

Find the width of a cereal box that has a volume of 11,340 cm3 and is 35 cm long and 36 cm high.

Answers

Answer:

The width is 9 cm

Step-by-step explanation:

L(W)(H) = V

35(W)(36) = 11340

Solve for w

35w(36) - 11340

1260w=11340

divide both sides by 1260 to get 9

Answer:

60,000 cm3

Step-by-step explanation:

cool right

Drew rolls two number cubes 75 times. Is it likely that she will get a sum of 3 more than 5 times?

Answers

Answer:

Yes, She is

Step-by-step explanation:

There are 36 possible outcomes of rolling two dice cubes once. For every roll, the probability that she would get the sum of 3 twice. So for 75 rolls, The probability of getting a sum of 3 = 2 * 75 = 150

What’s the area of the shape

Answers

21.2 because you use the area of a circle formula which is pi times r squared and divide it by four to get each quarter and then multiply by three because there are 3 quarters of the circle.

Which function passes through the points (2, 3) and (4, 4)?
Options are shown in the pic
*WILL MARK BRAINLIEST* - 20 POINTS

Answers

Answer:

C

Step-by-step explanation:

When you substitute the coordinate values into the equation, you should get an number that is equal on both sides. This occurs only in equation C.

Answer:

C,E and i would kinda think also B

but idk if u can choose three so yh

and i hope its right bc i remember doing this but my memory is vauge :)

Step-by-step explanation:

Someone please help me

Answers

Answer:

Yes.

Step-by-step explanation:

Every X value corresponds with a DIFFERENT Y value.

That is the definition of a function.

The correct answer is yes please give me brainlest I hope this helps

In the problem 8^3 - 10 × 5 - 4, which step should you perform first?

Answers

Answer:

PEMDAS

Step-by-step explanation:

P=Parenthesis

E=Exponent

M=Multiply

D=Division

A=Addition

S=Subtract

The first step you should perform is the exponent 3 of base 8.

What is BODMAS Rule?

BODMAS rule is the rule used when solving expressions involving more than one operations.

It is the abbreviation of Brackets, Order, Division, Multiplication, Addition, Subtraction, which is the order of the operations to be done.

The given expression is 8³ - 10 × 5 - 4.

We know the rule of BODMAS.

since the given expression includes more than one operations, we have to follow the rule of BODMAS.

There are no brackets in the expression.

There is a power of 3 for the base 8.

We should perform that in the first step.

8³ - 10 × 5 - 4 = 512 - 10 × 5 - 4

Next we do the operation of multiplication.

512 - 10 × 5 - 4 = 512 - 50 - 4

There is subtraction.

512 - 50 - 4 = 566

Hence the operation of the power is done first.

Learn more about BODMAS here :

https://brainly.com/question/16738857

#SPJ2


What is the slope of the line that
(2,4), (6,2)

Answers

Look at the attached picture

Hope it will be helpful to you....

-pragya~~

Use the graph to determine which values can be used to complete the equation x^2/a^2-y^2/b^2=1. a= b=

Answers

Answer: a: 5

b: 12

Step-by-step explanation:

The required value of a and b is 4 and 12 respectively.

[tex]x^2/a^2-y^2/b^2=1.[/tex]

What is hyperbola?

Hyperbola is cross-section of cone that is obtained by cutting cone at certain angle with horizontal.

[tex]x^2/a^2-y^2/b^2=1.[/tex]
Since, above equation is of hyperbola.
a = semi major axis and b = semi minor axis.
From graph, values of a and b is 4 and 12 respectively.

Thus, the required value of a and b is 4 and 12 respectively.

Learn more about hyperbola here:
https://brainly.com/question/27799190

#SPJ2

A cell phone company tests 95 cell phones and finds that 7 of them have defects. Out of 760 cell phones, how many would you expect to have defects?
You can predict that
of the cell phones will have defects.

Answers

Answer: 60

Step-by-step explanation:

From the question, a cell phone company tests 95 cell phones and finds that 7 of them have defects. This. means that 7/95 are defective.

If 760 cell phones are tested, the number that will be expected to have defects will be:

= 7/95 × 760

= 59.99

= 60 Approximately

Answer:

56 C:

Step-by-step explanation:

Just divide 95 by 7 yes you heard me right then multip,y by 760 you can use calculator to get 56

What is the interest rate if an $85 loan for 9 months earned $4.78?

6,0

5.7

8.3

7.5

Answers

Answer:

Monthly loan payment is $400.76 for 60 payments at 7.5%. ... monthly on the current outstanding balance of your loan at 1/12 of the annual rate. 0% ... Interest rate; Number of payments, and; Amount of money you need to borrow (the principal). ... For example, if the approximate term of the loan is 4 years or 48 months

Step-by-step explanation: Monthly loan payment is $400.76 for 60 payments at 7.5%. ... monthly on the current outstanding balance of your loan at 1/12 of the annual rate. 0% ... Interest rate; Number of payments, and; Amount of money you need to borrow (the principal). ... For example, if the approximate term of the loan is 4 years or 48 months, you ...

Answer:

7.5

Step-by-step explanation:

why is the power in the united states dived between several branches

Answers

Answer:

To ensure that they all have the equal amount of power; to make sure one branch doesn't have more power than the others.

There divided because every branch dosent get more power over one another

1. Знайдіть периметр паралелограма, сторони якого дорівнюють 5 см і 11 см.

2. Один з кутів ромба дорівнює 53°. Знайдіть інші кути ромба.

3. Катети прямокутного трикутника дорівнюють 12 см і 10 см. Знайдіть довжину медіани, проведеної до меншого з катетів.

4. Знайдіть сторони прямокутника, якщо вони відносяться як
2 : 3, а площа прямокутника дорівнює 96 см².

Answers

Answer:

1) Perimeter of the parallelogram = 32 cm

2) The angles of the rhombus include 53°, 53°, 127° and 127°.

3) The length of the median drawn to the smaller of the legs = 13 cm

4) The sides of the rectangle are 8 cm and 12 cm

1) Периметр параллелограмма = 32 см

2) Углы ромба включают 53 °, 53 °, 127 ° и 127 °.

3) Длина медианы обращена к меньшей из ног = 13 см.

4) стороны прямоугольника 8 см и 12 см

Step-by-step explanation:

English Translation

1) Find the perimeter of the parallelogram, the sides of which are 5 cm and 11 cm.

2) One of the angles of the rhombus is 53 °. Find the other angles of the rhombus.

3) The legs of a right triangle are 12 cm and 10 cm. Find the length of the median drawn to the smaller of the legs.

4) Find the sides of the rectangle if they are related as 2: 3, and the area of ​​the rectangle is 96 cm².

Solution

1) Find the perimeter of the parallelogram, the sides of which are 5 cm and 11 cm.

A parallelogram has each of its opposite sides to be equal in length.

Perimeter of a parallelogram = 2(l + b)

l = 11 cm

B = 5 cm

Perimeter = 2(11 + 5) = 32 cm

2) One of the angles of the rhombus is 53 °. Find the other angles of the rhombus.

A rhombus is a quadilateral with the sum of its internal angles equal to 360°. Also, opposite angles of a rhombus are equal in magnitude.

Let the unknown other complementary angle be x.

53° + 53° + x + x = 360°

2x + 106° = 360°

2x = 360° - 106° = 254°

x = (254°/2) = 127°

The angles of the rhombus include 53°, 53°, 127° and 127°.

3) The legs of a right triangle are 12 cm and 10 cm. Find the length of the median drawn to the smaller of the legs.

The median is the line drawn from the vertex opposite a triangle's side to the midpoint of that side.

The median described is drawn in the attached image to this question.

From the image, the small triangle is a right angled triangle, hence, the length of the median is given by Pythagoras theorem.

(Median)² = 12² + 5² = 169

median = 13 cm

4) Find the sides of the rectangle if they are related as 2: 3, and the area of ​​the rectangle is 96 cm².

Let the breadth and length of the rectangle be x and y respectively.

x:y = 2:3

(x/y) =(2/3)

x = (2y/3)

Area of a rectangle = length × breadth = x × y = xy = 96

x = (2y/3)

(2y/3) × y = 96

y² = (96×3/2) = 144

y = 12 cm

x = (2y/3) = (2×12/3) = 8 cm

Hope this Helps!!!

Mr.smith brings 200 fluid ounces of apple juice to share with his class.How much apple juice did he bring in cups

Answers

Answer:

25

Step-by-step explanation:

8 fluid ounces = 1 cup so 200/8 = 25

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