Find the lengths of the hypotenuse and the longer side in a 30 60 90 triangle where the short side is 7 m.

Answers

Answer 1

Answer:12.12 m, 14 m

Step-by-step explanation:

Given

length of the short side is 7 m

[tex]30^{\circ}[/tex] angle must correspond to the short side and [tex]60^{\circ}[/tex] angle must correspond to the longer side of the triangle

from the figure, we can write

[tex]\Rightarrow \tan 60^{\circ}=\frac{L}{7}\\\Rightarrow L=7\tan 60^{\circ}=12.124\ m[/tex]

Also,

[tex]\Rightarrow \cos 60^{\circ}=\frac{7}{H}\\\Rightarrow H=7\times2=14\ m[/tex]

Find The Lengths Of The Hypotenuse And The Longer Side In A 30 60 90 Triangle Where The Short Side Is

Related Questions

5 – x = 23 yea wth is this lol

Answers

Answer:

x=-18

Step-by-step explanation:

Answer:

x = -18

Step-by-step explanation:

5 - x = 23

5 - 5 - x = 23 - 5

-x = 18

-1x / -1 = 18 / -1

x = -18

Hope this helps and stay safe, healthy, and happy, thank you :) !!

Mr. Garza's family is attending the local soccer game. He has 30 to spend on food and drinks . The cost of chips is $2 and the cost of a drink is $3 . Which of the following inequalities represents all possible combinations of c , and d, the number of drinks , that Mr. Garza can purchase?

Answers

Answer:

$6

Step-by-step explanation:

let x and y be the number of chip and pretzel bags respectively  : 4x%2B2y%3 C=20 : if x=1 then 4%281%29%2B2y%3C=20--->{{2y<=16}}}--->y%3C=8  : if x=3 then 4%283%29%2B2y%3C=20--->{{2y<=8}}}--->y%3C=4  : so chips 1 and pretzels 8  : chips 3 and pretzels 4.

please helppp will give brainliest

Answers

Answer:

[tex]\frac{(x + 1)(x - 2)}{x^{2} + 5}[/tex] This is the third option.

Step-by-step explanation:

Dividing a fraction is the same as multiplying the reciprocal of the second fraction.

[tex]\frac{x + 1}{x + 4}[/tex] × [tex]\frac{(x + 4)(x - 2)}{x^{2} + 5}[/tex]

[tex]\frac{(x + 1)(x + 4)(x - 2)}{(x + 4)(x^{2} + 5)}[/tex]  Here, we can just get rid of the (x + 4) because it is common in both the numerator and denominator so they cancel each other out.

So the answer would be [tex]\frac{(x + 1)(x - 2)}{(x^{2} + 5)}[/tex] .

I hope this makes sense!! ^-^

y=8x+7 i need helpppp

Answers

Answer:

i think the answer is d

hpe it helps

Answer:

b

Step-by-step explanation:

Solve the equation. Select all that apply.

Answers

find the square root of 121
11x11=121
so it’s 11

Answer:

ll

Step-by-step explanation:

square root of 121 is 11 since 11x11=121

Someone please answer this for me :(

Answers

Answer: [tex]y=-\frac{3}{4}x+7[/tex]

Step-by-step explanation:

The slope is

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

Since the y-intercept is (0,7), the equation is [tex]y=-\frac{3}{4}x+7[/tex]

A supermarket has a length of 150 feet.the area of the supermarket is 1,350 feet squared.what is the width of the supermarket

Answers

Answer:

1,500

Step-by-step explanation:

Help me find the x??????

Answers

Answer:

22 + 4x = 90

4x = 68

x = 17

Step-by-step explanation:

Answer:

90-22=68.   68/4 is what?

Step-by-step explanation:

Give the quotient in simplest form:

Answers

Answer:

Answer should be 5/2 I thinkkkkk

Answer:

2.5 or can be 5/2

Step-by-step explanation:

(WILL GIVE BRAINLIEST AND 50 POINTS ) A small town voted to decide if a road should be expanded from two lanes to four lanes. The two-way table below shows the results of the vote.

Favor Oppose Neutral Total
Age
18-25 33 12 46 91
Age
26-40 45 15 36 96
Age
40+ 10 29 24 63
Total 88 56 106 250

Which correlation does the two-way table suggest?
A.
Voters age 40 and over are least likely to favor road expansion.

B.
Voters between the ages of 18 and 25 are least likely to favor road expansion.

C.
Voters between the ages of 26 and 40 are most likely to oppose road expansion.

D.
The majority of the voters are most likely to favor road expansion.

Answers

Answer:

A. Voters age 40 and over are least likely to favor road expansion.

The answer is 100% a

Could I please get some help with my geometry worksheet?

Answers

Answer:

A. 45

B. 60

C. 65

D. 121

2. 108

3.

4. 8

5. 104

6. 132

7. 24

8. 38

9. 65

Step-by-step explanation:

Area of rectangles is L*W while right triangle is lw/2

WILL MARK BRAINIEST 16 POINTS EACH!!!


A. 10 yd.
B. 15 yd.
C. 13 yd.
D. 6 yd.

Answers

I’m pretty sure it would be D. 6 yards

36 is 18% of what number?

Answers

Answer: 200

Step-by-step explanation: 36 by 100 and then divide the total by 18 as follows: (36 x 100) / 18 For 200

Answer:

200

Step-by-step explanation:

:/

I hope

rlly need this answered

Answers

Answer:

It is J hope this helps! :)

Translate (-4, 2) to the left 2 units.
Then reflect the result over the y-axis.
What are the coordinates of the final point?

Answers

(6,2) would be the final point

Apply the ADDITIVE IDENTITY PROPERTY to the following expression: 15 + 0​

Answers

Answer:

15

Step-by-step explanation:Addentitive property states that any number added with 0 is the original number. so, 15+0=15

Gabriella bought 50 lbs of clay for her art projects. She used 18.2 lbs to make a sculpture, and 0.76 lbs for each mug. How many mugs did Gabriella make if she had 18.88 lbs of clay left over?

Answers

Answer:

24 mugs

Step-by-step explanation: 18.88/0.76 = ≈24

Answer:

24 mugs

Step-by-step explanation:

Disregard unimportant information

Set up an equation

Variable x = number of mugs

18.88 = 0.76x

Divide both sides by 0.76 to isolate variable x

24.842...

There's no such thing as a fraction or decimal of a mug so round down to the nearest whole number

24

leroy is calculating the probability of rolling a regualr 6-sided die and flipping a coun. He wants to know the probability if rolling a 4, then landing on heads twice Find P(4 and H and H).

Answers

Answer:

To roll the 4 is 1/6 and landing heads twice is 1/4 and 1/6 x 1/4 and the probability of him doing that would be 0.04166666666% chance

Step-by-step explanation:

Please help me I need ASAP

Answers

Answer:

y = x² + 10

Step-by-step explanation:

A countrys population in 1990 was 145 million. In 1998 it was 151 million. Estimate the population in 2015 using the exponential growth formula. Round your answer to the nearest million

Answers

Answer:

The population in 2015 will be 165 million.

Step-by-step explanation:

The exponential growth formula is given by:

[tex] f(t) = a(1 + r)^{\Delta t} [/tex]

Where:

a: is the initial population

r: is the rate of increase

Δt: is the time        

With the initial information we can find the rate:

[tex] 151 = 145(1 + r)^{1998-1990} [/tex]      

Using logarithm:                                    

[tex] ln(151) = ln(145) + 8[ln(1 + r)] [/tex]  

[tex] ln(1 + r) = \frac{ln(151) - ln(145)}{8} [/tex]                        

[tex] ln(1 + r) = 5.0683 \cdot 10^{-3} [/tex]          

Using exponential:          

[tex] e^{ln(1 + r)} = e^{5.0683 \cdot 10^{-3}} [/tex]

[tex] r = 5.081 \cdot 10^{-3} [/tex]        

Now, we can find the estimated population in 2015:

[tex] f(t) = 151(1 + 5.081 \cdot 10^{-3})^{2015-1998} [/tex]              

[tex] f(t) = 165 [/tex]              

Therefore, the population in 2015 will be 165 million.

I hope it helps you!

A Formula for calculating displacement (distance from a point) is -

[tex]s = ut + \frac{1}{2} {at}^{2} [/tex]
A) Calculate u when s = 120, a = 2 and t = 4​

Answers

Answer:

s=ut +atsq/2

120=4u+4sq

4u=104

u=26m/sec

Answer:

26 m/s

Step-by-step explanation:

Given

[tex]s = ut + \frac{1}{2} {at}^{2} [/tex]

When a = 2 , s = 120 and t = 4

Then

[tex]120 = u \times 4 + \frac{1}{2} \times 2 \times {4}^{2} \\ 120 = 4u + 16 \\ 120 - 16 = 4u \\ 104 = 4u \\ u = \frac{104}{4} \\ u \: = 26

Hope it will help :)❤

I NEEED HELP PLEASE ANYONE!! With step by step answer

Answers

Answer:

x = 2

Step-by-step explanation:

Let me know if you have questions

1 + 1 - 2 = ? please help asap

Answers

0 lol this is funny thanks for free points

Answer:

I think its zero but I'm not sure dude

hope this helps :)

sorry the pic looks bad but can anyone help asap?

Answers

Answer:

I'm pretty sure it (a)

Step-by-step explanation:

I learned it as you eat the larger number

Solve for x in a triangle. Round your answer to the nearest hundredth

Answers

The answer is 9tan(44)
I don’t have my calculator nearby so just type that in.

Answer:

x= 8.69

Step-by-step explanation:

tanx = opp/ adj

tan44° = x/9

x= tan44° * 9

*make sure your calculator is in degree mode

x= 8.69

What is the total surface area and volume?? PLEASE HELP ME ASAP

Answers

Answer:

228

Step-by-step explanation:

ANOTHER QUESTOIn?

A new car that sells for $44,000 depreciates 25% each year. Write a function that models the value of the car. Find the value of the car after 4 years.

can you answer the equation to? please hurry!

Answers

Answer:

Value = 44,0000(0.75)^t

Where t = number of years

Value after 4 years = 44,000 (0.75)^4

Describe fully the single transformation
that maps shape A onto shape B.

Answers

Answer: a reflection across the x-axis

Help me out , plzzzzz!!

Answers

Answer:

a. 5,040 ways

b. 210 ways

Step-by-step explanation:

a) We want to pick 4 numbers out of 10 given that orders matter

If orders do matter, it will be a permutation problem

Mathematically;

n P r = n!/(n-r)!

In this case, n is 10 and r is 4

Thus, we have it that;

10 P 4 = 10!/(10-4)! = 5,040

b) if orders do not matter

It will be a combination problem

n C r = n!/(n-r)!r!

n = 10 and r = 4

10 C 4 = 10! /(10-4)!4!

= 210

8. The local radio station surveyed listeners and asked about their favorite type of music. The results showed
that 72 people liked rock music the most. This number represented 45% of the total number of listeners
surveyed. How many total listeners did the radio station survey?

Answers

160 people total since 45% of 160 is 72
The answer is 160

Explanation:

x*0.45=72
which turns into
x= 72/0.45
therefore x = 160
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