suppose I have a 30, 60, 90 right triangle. The hypotenuse is 10 units long. How long are the other sides?

a) short leg = 5; long leg = 5 √2

b) short and long leg = 5 √2

c) short leg = 5; long leg = 5 √3

d) short leg = 5; long leg =8

Answers

Answer 1

Answer:

option c

Step-by-step explanation:

The angles are 30° , 60° , 90° . So its a right angled triangle . We can use trigo.

⇒ sin 30 = p/h

⇒ 1/2 = p/10

⇒ p = 10/2

p = 5

Using Cosine now ,

⇒ cos 30° = b/h

⇒ √3/2 = b/10

⇒ b = √3/2 × 10

b = 53

Short leg = 5Long leg = 53 Hence option C is correct.
Answer 2

Answer:

c) short leg = 5; long leg = 5 √3

Step-by-step explanation:

How long are the other sides?

short leg = 5; long leg = 5 √3


Related Questions

HELP ITS MY LAST QUESTION!!!

Answers

The answer will be x+23

Answer:

D. x + 23

Step-by-step explanation:

Start by distributing the 3 to the numbers in the parenthesis

3(x + 6) - 2x + 5

3x + 18 - 2x + 5

now just add like terms

3x + 18 - 2x + 5

x + 23

Steve is standing on level ground 700 feet from the base of the Washington Mounument.The monument is 555 feet tall

Answers

Step-by-step explanation:

(Steve's distance from the tip of the monument I'm assuming?)

ans: about 893.92 ft (√798,025)

a²+b²=c²

a=700

b=555

Can someone please help!! I’m stuck on this question

Answers

Answer:

-12

Step-by-step explanation:

Farenheit is on the x-axis (horizontal) so you go to 10, then find the celsius which is on the y-axis (vertical) and the line is around -12. Hope this helps!

Name each polynomial based on its degree and number of terms.

-2xy^2

Answers

Answer:

Degree: 3

Number of terms: 1

Step-by-step explanation:

The exponent on x is 1. The exponent on y is 2.

1 + 2 = 3

Degree: 3

Number of terms: 1

What should we find in order to determine how many square feet of plywood are needed to make a rectangular prism

Answers

Answer:

surface area

Step-by-step explanation:

A rectangular prism is an optical element which is transparent with flat sides that can pass or reflect light. A rectangular prism is a cube where all its sides are the same.

In the context, in order to find the total square feet of plywood needed to make a prism we have to determine its surface area.

The total surface area of a rectangular prism can be found out by the formula :

A = 2 (hl + lw + wh)

where, h = height of the rectangular prism

            l = length of the rectangular prism

            w = width of the rectangular prism

A veterinarlan treated 7 dogs this morning. The list below gives the weights (in pounds) of each dog. 24,3,29, 24,8, 38,62 Find the range of the data set.​

Answers

The range is 59 because you subtract the big number and the lowest number so 62-3=59

QUICK, IF YOU ANSWER THIS I WILL MARK YOU AS BRANIEST.

WHAT IS 2+2=?​

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

-y + 9x = 0 Direct and inverse variation. constant of variation (k)​

Answers

this what teacher explain to us

solve by subsution 10x=4 2x+y=-24

Answers

Answer:

big shaq

Step-by-step explanation:

Helppp look at photo will mark brainliest

Answers

Answer:

C) 12.5

 The length of BC = 12.5cm

Step-by-step explanation:

Step(i):-

Given that  ΔABC

Given that  AB =  15cm and ∠A =  40°

we will use trigonometric function

                     [tex]tan x = \frac{oppositeside}{adjacentside}[/tex]

                   [tex]tan 40^{0} = \frac{BC}{AB} = \frac{BC}{15}[/tex]

Step(ii):-

we know that tan40° = 0.83909

                 [tex]tan 40^{0} = \frac{BC}{15}[/tex]

                BC =  15 × tan 40°

                BC = 12.58649

                BC = 12.5cm

Final answer:-

 The length of BC = 12.5cm

Ayo can y’all pls come up with a 4th grade math problem and then answer it

Answers

Answer:

-8 x -3 = 24.

Step-by-step explanation:

When to negatives are multiplied, they automatically become positive.  Therefore, 8 x 3 = 24.

Answer:

(8x7)\2 + x =5

Step-by-step explanation:

8x7= 56 \2 28+x= 33

Ill mark brainliest if right! Which could NOT be side lengths of a parallelogram?
A. 2 yd, 2 yd, 2 yd, 2 yd
B. 3 cm, 2 cm, 2 cm, 3 cm
C. 4 m, 3 m, 4 m, 4 m
D. 5 in., 5 in., 3 in., 3 in.

Answers

Answer:

C: 4m, 3m, 4m, 4m

Step-by-step explanation:

The opposite sides of a parallelogram have to be congruent. Since one side is 3m, the quadrilateral is not a parallelogram.

Graph f(x) = 3 |x– 5|+ 1.

Answers

Answer:

This is how your function looks on a graph table. Hope this helps.

Study the figure.
53
53
?
What is the measure of the missing exterior angle, in degrees?

Answers

Answer:

exterior angle is equal to the sum of two interior opposite angle

?=53+53=106°

missing exterior angle =106°

The measure of the exterior angle is 106°.

What is an exterior angle?

Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it.

Given that, a triangle has two interior angles 53° and 53° and an exterior angle x,

Since, we know that, sum of opposite two interior angles of a triangle is equal to measure of exterior angle.

Therefore,

53° + 53° = x

x = 106°

Hence, the exterior angle is 106°

Learn more about exterior angles, click;

https://brainly.com/question/28835566

#SPJ2

choices;
a) 21.8°
b) 35.2°
c) 45.1°

Answers

Answer:

[tex] \displaystyle a) \: {x}^{ \circ} = 21.8 ^{ \circ} [/tex]

Step-by-step explanation:

we are given opposite and adjacent

we want to figure out x°

remember that,

[tex] \displaystyle \: \tan( \theta) = \frac{opp}{adj} [/tex]

where our opp is 5 and adj is 12.5

let [tex]\theta[/tex] be x°

so

[tex] \displaystyle \: \tan( {x}^{ \circ} ) = \frac{5}{12.5} [/tex]

[tex] \displaystyle \: {x}^{ \circ} = \arctan \left( \frac{5}{12.5} \right)[/tex]

by using calculator

[tex] \displaystyle \: {x}^{ \circ} = 21.8[/tex]

hence,

our answer is a

1/4(1/3k+9)=6 step 1- 1/3k=15 step 2- 1/3k=15 step 3- k=5 find Olgas mistake step 1 step 2 steps 3 Olga did not make a mistake

Answers

Answer:

Step 3 contains error.

Step-by-step explanation:

The given equation is :

[tex]\dfrac{1}{4}(\dfrac{1}{3}k+9)=6[/tex]

Step 1.

Cross multiplying,

[tex](\dfrac{1}{3}k+9)=24[/tex]

Step 2.

Subtract 9 from both sides

[tex]\dfrac{1}{3}k+9-9=24-9\\\\\dfrac{1}{3}k=15[/tex]

Step 3.

Cross multiplying

[tex]k=15\times 3\\\\k=45[/tex]

So, there is an error in step 3. The correct answer should be 45.

katie wants to buy a watermelon from the store if the watermelon costs $1.20 per kilogram and the watermelon weighs 6 kilograms how much money will katie spend on the watermelon?

Answers

Answer:

p=0.60w

Step-by-step explanation:

Let

p ----> the price of a watermelon in dollars

w ---> the weight of a watermelon in pounds

In this problem we have a proportional relationship

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form  or  

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem

p=kw

The value of the constant of proportionality k is the same that the unit rate

Find out the unit rate

Divide the total cost by the total weight

k=4.38/7.3=0.60per lb

substitute in the equation

p=0.60w

Step-by-step explanation:

brainliest?

If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll a one?

Answers

One time(Theoretical Probability)A die has six sides, so the chances of you rolling a one are 1/6. If you roll the die six times, it will probably land on a one, one time.

Answer:

yes

Step-by-step explanation:

Part A: To the nearest tenth of an inch, what was the circumference of the circular pie before the slice was
cut out?
Part B: To the nearest inch, what was the area of the circular pie before the slice was cut out?
Part C: To the nearest tenth of an inch, what is the area of the slice of pie that was cut out?
Part D: To the nearest inch, what is the length of the curst for the slice of pie that was cut out?
Next Question
Question 1 of 2

Answers

Answer:

Part A

The circumference of the circular pie before the slice was cut out is approximately 69.1 inches

Part B; The area of the circular pie before the slice was cut out is approximately 380 in.²

Part C

The area of the slice of pie that was cut out in approximately 40 in.²

Part D;

The length of the crust for the slice of pie is approximately 7 inches

Step-by-step explanation:

Part A

The shape of the pie = Circular shape

The radius of the pie, r = 11 inches

The circumference of a circle = 2·π·r

Therefore, we have;

The circumference of the circular pie before the slice was cut out, 'C', is given as follows;

Where;

r = 2 inches

C = 2 × π × 11 inches  = 22·π inches ≈ 69.115 inches

The initial circumference of the circular, C ≈ 69.115 inches

To the nearest tenth of an inch, we have;

The initial circumference of the circular, C ≈ 69.1 inches

Part B; The area of a circle, A = π·r²

Therefore;

For the circular pie before the slice was cut out, A = π·(11 in.)² ≈ 380.133 in.²

To the nearest square inch, we have;

The area of the circular pie before the slice was cut out, A ≈ 380 in.²

Part C

The area of the slice of the pie that was cut out, A is given by the area of a sector of a circle as follows;

[tex]The \ area \ of \ a \ sector, A = \dfrac{\theta}{360 ^{\circ}} \times \pi \cdot r^2[/tex]

The angle of the sector formed by the slice of pie that was cut out, θ = 38°

Therefore, the area of the slice of pie that was cut out, 'A', to the nearest tenth of a square inch  is given as follows;

A = 38/360 × π × (11 in.²) = 40 in.²

The area of the slice of pie that was cut out, A = 40 in.²

Part D;

The length of the crust of the slice of pie that was cut out is given by the arc length of the sector of the circular pie the slice of pie represent as follows;

[tex]Arc \ length = \dfrac{\theta}{360 ^{\circ}} \times 2\cdot \pi \cdot r[/tex]

Therefore for the slice of pie, to the nearest inch, we have;

[tex]Arc \ length = \dfrac{38 ^{\circ}}{360 ^{\circ}} \times 2\times \pi \times 11 \, in. \approx 7 \, in.[/tex]

The length of the crust for the slice of pie ≈ 7 in.

Help me, please ❤️❤️

Answers

Answer:

thx for the points

Step-by-step explanation:

u

Please help me and show your work

Answers

Answer:

Step-by-step explanation:

y = 3x + 4

Plugin x = 3 in the equation,

y = 3*3 + 4

 = 9 + 4

y = 13

Plugin x = 4 in equation,

y = 3*4 + 4

  = 12 + 4

y = 16

Plugin x = 5 in the equation,

y = 3*5 + 4

  = 15 + 4

y = 19

2) y =x - 7

Plugin x = 10 in the equation

y = 10 - 7

y = 3

Plugin x = 15 in the equation

y = 15 - 7

y = 8

Plugin x = 20 in the equation

y = 20 - 7

y = 13

1) Matthew can run 1/5 of a mile in 1/3 of an hour. What is the unit rate?

Answers

Answer:

3/5 mile/h

Step-by-step explanation:

velocity = distance / time

then 1/5 / 1/3 = 1/5 * 3/1 = 3/5

Review questions
6. What is slope and y intercept of the line shown in the graph? Write the equation for the line. (3 pts)
Slope,
y-intercept:
Equation:

Answers

Answer:

slope: -3/4    y-intercept: 3   equation: y=(-3/4)x+3

Jace recorded the grade-level and instrument of everyone in the middle school School of Rock below. Seventh Grade Students Eighth Grade Students Instrument # of Students Instrument # of Students 11 Guitar 13 14 Guitar Bass Drums Keyboard Bass Drums Keyboard 13 8 14 3 Based on these results, express the probability that a seventh grader chosen at random will play an instrument other than bass as a percent to the nearest whole number.



please answer , I have no idea how to do this ​

Answers

Using the table, it is found that there is a 77% probability that a seventh grader chosen at random will play an instrument other than bass.

-----------------------------

A probability is the number of desired outcomes divided by the number of total outcomes.The table is given at the end of this question.

From the table:

There are 12 + 10 + 9 + 12 = 43 7th grade students.Of those, 33 play an instrument other than the bass.

Then:

[tex]p = \frac{33}{43} = 0.77[/tex]

0.77 = 77% probability that a seventh grader chosen at random will play an instrument other than bass.

A similar problem is given at https://brainly.com/question/22203443

Find the slope of the line passing through the points (-4, 2) and (3, 2)

Answers

Answer:

0

Step-by-step explanation:

The slope of a line is also known as the change in the line. it is often referred to as ([tex]\frac{rise}{run}[/tex]) and can be found using the formula, ([tex]\frac{y_2-y_1}{x_2-x_1}[/tex]). Substitute in the given points and solve for the slope,

[tex]\frac{(2)-(2)}{(3)-(-4)}[/tex]

Simplify,

[tex]\frac{0}{3+4}\\\\\frac{0}{7}[/tex]

The slope of the line is (0).

In circle G with m_FGH = 60 and FG = 19 units, find the length of arc FH.
Round to the nearest hundredth.
FH

Answers

Answer:

m j ubhyb8yvtucvyrrd86rfutiy

Step-by-step explanation:

Please help ASAP. No links for an answer please or I will report you'8th grade

Answers

Answer:

2.389 × 10^5

Step-by-step explanation:

the coefficient must be between 1 to 10

A pattern is made from four congruent squares.
The sides of the squares are parallel to the axes.
N
Point A has coordinates (3, 2)
YA
B (27, 30)
Point B has coordinates (27, 30)
Point C is marked on the diagram.
Work out the coordinates of C.

Answers

Answer:

(13, 16)

Step-by-step explanation:

Point A has coordinates (3,2) Point b has the coordinates (27,30)

Therefore the width of the diagram = 27 - 3 = 24 units and the height of the diagram = 30 - 2 = 28 unit

The length of the square = 28 unit / 4 square = 7 unit

Also, half of the height of the diagram = 28/2 = 14 unit

Therefore the x coordinate is given by:

27 - (2 × 7) = 27 - 14 = 13 or 27 - 14 (=13) or 3 + 7 + (24 - 3 × 7) = 13

Also, the y coordinate is given by:

30 - (2 × 7) = 30 - 14 = 16 or 30 - 14 (=16) or (30 + 2)÷2 = 16

Therefore the coordinate for point C is given by (13, 16)

hope it help :)

Please answer everything in the screenshot below I will mark brainliest.

Answers

Answer:

The weeks is the independent variable and the height is the dependent variable.

Step-by-step explanation:

This is because the number of weeks you take to care for it depends on the height it will become. Hope this makes sense!

Eli has 8 black pens and 5 blue pens in his desk drawer. he also has 3 yellow highlighters, 4 green highlighters, and 5 pink highlighters in his pencil case. If he chooses one pen and one highlighter without looking, what is the probability that he will get a blue pen and he will not get a yellow highlighter. Brainliest for most helpful answer.
I will ban you if you use bit. ly

Answers

The answer is 15/52
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