1.) A ladder is leaning against the side so that the distance on the ground between
the base and the house is 7 feet.
If the ladder is 15 feet long, then what is the angle at which the ladder is leaning?

Answers

Answer 1

Answer:

62.182°

Step-by-step explanation:

Using cos and sin you are able to find the height of the ladder from the bottom of the house to the place the top of the ladder is. You can do this by making a triangle. By using the lengths and angles already present you are able to find all angles of the triangle.

Answer 2

The angle at which the ladder is leaning is 62.18°.

What is trigonometry?

Trigonometry is the branch of mathematics that deals with calculating the angles of triangles or the lengths of their sides. It mainly concerned on the properties of right angled triangle.

For the given situation,

The length of the ladder = 15 feet

The distance between the house and the ladder base = 7 feet

The angle at which the ladder is leaning can be found by using trigonometric ratio, cos θ.

we know that, [tex]cos[/tex] θ = [tex]\frac{Base}{Hypotenuse}[/tex]

The figure below shows the relationship between the sides.

⇒ [tex]cos[/tex] θ = [tex]\frac{7}{15}[/tex]

⇒ θ = [tex]cos^{-1}(\frac{7}{15} )[/tex]

⇒ θ = [tex]62.18[/tex]

Hence we can conclude that the angle at which the ladder is leaning is 62.18°.

Learn more about trigonometry here

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1.) A Ladder Is Leaning Against The Side So That The Distance On The Ground Betweenthe Base And The House

Related Questions

explain the difference between solving 2x+15-3x=10 and 2x-4=3x+11

Answers

1st one is x=5
2nd one is x=-15
Pls mark brainliest

Which equation represents the line shown on the graph?
A- y=-2x
B- y=x+2
C- y= -x+2
D- y=2x

Answers

B- y=-x+2 most likely to be the answer

Answer:

B- y=-x+2

Step-by-step explanation:

I did this before

What is m m +
4 = −12

Answers

Answer:

- 16

Step-by-step explanation:

Step 1:

m + 4 = - 12      Equation

Step 2:

m = - 12 - 4      Subtract 4 on both sides

Answer:

m = - 16

Hope This Helps :)

THERE IT IS.
THANK YOU SO MUCH FOR HELPING ME ​

Answers

I keep getting 1/2 sorry

Question 1 of 10
What is the solution to this equation?
X- 13 = -4
A. x=-9
B. x= 17
C. x = 9
D. x=-17

Answers

It’s c because if you subtract 9 from both sides you will get -4.

Lines l and m are intersected by transversal t. l ∥ m.
If m∠4 = 105, what is m∠5?

Answers

Answer:

m<5 is 105

Step-by-step explanation:

<5 and <4 are alternate interior angles meaning they are congruent to each other.

Kelly needs to travel 12 miles. Taxi A charges $3.00 plus $0.30 every 1/9 mile. Taxi B charges $3.25 plus $0.20 every 1/9 mile. How much money (in dollars) does kelly save by using taxi B instead of taxi A? (PLEASE HELP ASAP)

Answers

Answer:

$10.55

Step-by-step explanation:

Total miles traveled = 12miles

If taxi A charges $0.3 for every 1/9 mile, then for 12 Miles, he will charge;

12×0.3/(1/9)

= 12×0.3×9

= 108×0.3

= $32.4

Amount charged initially = $3.00

Total charge by Taxi A = $32.4+$3.00

Total charge by Taxi A = $35.4

If taxi B charges $0.2 for every 1/9 mile, then for 12 Miles, he will charge;

12×0.2/(1/9)

= 12×0.2×9

= 108×0.2

= $21.6

Amount charged initially = $3.25

Total charge by Taxi B = $21.6+$3.25

Total charge by Taxi B = $24.85

Total money saved by Kelly = Amount charged by Taxi A - Amount charged by Taxi B

Total money saved by Kelly = $35.4-$24.85

= $10.55

Hence Kelly saved $10.55 using taxi B

Which inequality represents this situation?
Players must practice at least 45 minutes a day.

A. t 45
D. t ≥ 45

Answers

Answer:

d

Step-by-step explanation:

Answer: letter D

Goodluck:)

Which word describes 5 in the number sentence shown?
2 = 18
53
A Term
B Variable
Equation
D) Coefficient

Answers

I think it's B because I did it before but I forgot but I think it is B

what is x+4y=8 show all work

Answers

Answer:

y = -1/4x + 2

Step-by-step explanation:

Let's put this equation in slope-intercept form:

y = mx + b

Equation:

x + 4y = 8

-x          -x

4y = -x + 8

/4     /4   /4

y = -1/4x + 2

Answer:

x = 4 Y=1

Step-by-step explanati

8-4y=x

8-4=4

X=4

4 in.
5 in.
2 in.
4 in.
5 in.
5 in.

Answers

Answer:

I need to see the whole question but I believe you just add the numbers

Which one and don’t lie!!!!!!!!!!!!

Answers

Answer:

Im pretty sure the one with the negative slope, so A.(edited im wrong)

Step-by-step explanation:

Since its descending, its impossible for it to start at zero, making it non proportional

hopefully i helped

Answer:

The answer is the graph will not pass through (0,0)

Step-by-step explanation:

The sum of t and 7 is less than -3

Answers

if your asking for the equation, it's t + 7 < 3

Answer:

t+7<3

Step-by-step explanation:

kinda meaning like t is a number less than 3 that when added to three the outcome would be 7 (thanks and sorry)

Brayden is making dumplings. If he uses 3 5
a cup of dough for each dumpling, how much dough does Brayden need to make 9 dumplings?

Answers

WELL, considering 3 5 is three fifths, then all you gotta do is multiply 3/5 by 9 to get your answer. Your answer, in decimals, is 5.4!

Hope this helps, if not, comment below please!!!

( ps: if you want me to convert 5.4 to fraction, just let me know! )

Answer:

27/9 or 5 2/9

Step-by-step explanation:

1. If one dumpling is worth 3/5 just multiply the 3 (numerator) by the amount of dumplings Brayden wants to make (9) so you would get the equation 3(9) and the answer is 27.

2. 27 is now the new numerator so put it over 5: 27/5. 27/5 is an improper fraction so the proper way of putting it would be 5&2/9.

3. Brayden needs 27/5 or 5&2/9 cups of dough to make 9 dumplings.

(2.891 * 10^5) + (4.65 x 10^5)​

Answers

Answer:

10000000013.4 or 13.44+10^10

Step-by-step explanation:

1. move the left 10^5 and switch it with the 4.65

2. It should look like: (2.891 * 4.65) + (10^5 * 10^5)

3. Simplify: 13.44 + 10^10

4. Your answer should look like 10000000013.4 or 13.44 + 10^10. WooHoo! You just finished!

Please do Brainliest answer that would be appreciated!

Answer:

7.541 * 10^5

Step by step:

add 2.891 with 4.65

then add the 10^5

(This is an easy version on how to solve it. There is a more complex version but it’s too long.)

Donna is a pacer in a marathon. She finishes 26.2 miles in 3 hours 45 minutes (3.75 hours) while running at a constant speed. What is Donna’s speed in miles per hour to the nearest whole number?

Answers

Answer:

you need to multiply 6 by 3 for how many miles she went and then divide the leftover total by two (For the last two hours) to realize she needs to run 4.1 mph.

Step-by-step explanation:

solve for x: -2(x+9)=5(x-7)

Answers

Answer: [tex]x[/tex] = [tex]\frac{17}{7}[/tex]

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Step 1: Expand.

−2[tex]x[/tex] − 18 = 5[tex]x[/tex] − 35

Step 2: Add 2[tex]x[/tex] to both sides.

−18 = 5x − 35 + 2[tex]x[/tex]

Step 3: Simplify 5[tex]x[/tex] − 35 + 2[tex]x[/tex] to 7[tex]x[/tex] − 35.

−18 = 7[tex]x[/tex] − 35

Step 4: Add 35 to both sides.

−18 + 35 = 7[tex]x[/tex]

Step 5: Simplify −18 + 35 to 17.

17 = 7[tex]x[/tex]

Step 6: Divide both sides by 7.

[tex]\frac{17}{7}[/tex] = [tex]x[/tex]

Step 7: Switch sides.

[tex]x[/tex] = [tex]\frac{17}{7}[/tex]

~I hope I helped you! :)~

Find the prime factorization of 24. Make sure to show all of your work.

Answers

Answer:

2^3*3

Step-by-step explanation:

So the prime factorization of 24 is 24 = 2 · 2 · 2 · 3 = 23 · 3.

Answer:

2^3*3

Step-by-step explanation: So the prime factorization of 24 is 24 = 2 · 2 · 2 · 3 = 23 · 3.

What is the increasing and decreasing intervals of this graph?

Answers

Answer:

A function is increasing on an interval if its slope is positive on that interval. That is, if you follow it to the right, it'll go up.

The graph increases at 3 and decreases at 1

A function is decreasing on an interval if its slope is negative on that interval. That is, if you follow it to the right, it'll go down.

Step-by-step explanation:

hope this helped

The function is increasing at (1, 0) and decreasing at (3, 0).

Given is a graph we need to determine what is the increasing and decreasing intervals of this graph,

If a function's slope is positive on an interval, the function is increasing on that interval. That is, it will go up if you follow it to the right.

The graph goes up at 3 and down at 1.

If a function's slope is negative on an interval, the function is declining on that interval. That is, it will descend if you follow it to the right.

Hence the function is increasing at (1, 0) and decreasing at (3, 0).

Learn more about increasing and decreasing intervals click;

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I need help! The 20% off sale is a better deal than the $200 rebate or $150 coupon for the $1,500 dining room set. Explain why this is the best deal for them. Are they under budget?

Answers

Answer:

See explanation

Step-by-step explanation:

The 20% off sale is a better deal because 20% off of $1500 will cost $1200. (See work).

However, the 200 or 150 dollars off will cost $1300-1350. Thus, the better deal for the dining room set is to use the 20% off.

If their budget is $1250, they will be $50 under budget because they would be paying $1200 for the set.

Work:

1500 x 20%

1500 x 0.20 = 300

1500-300= $1200

1500-150= 1350

1500-200= 1300

Yes, the Porters are under budget. The 20% off sale is the best deal because $1,500 times 0.20 is $300. $300 is a bigger discount than the $150 coupon and $200 rebate. $300 off $1,500 is $1,200, which is less than the amount budgeted.

Write 0.0000000642 in scientific notation.

Answers

Step-by-step explanation:

[tex]6.42 \times 10^8[/tex]

By calculator

Janet, Rosi, and Tanya buy postcards from their favorite souvenir shop Janet buys 3 postcards for $1.05 Rosie by five postcards for $1.75 Tanya Buys eight postcards for $3.80 are the cost why in dollars and the numbers of postcards extra personal explain your answer right in equation to represent the relationship if possible

Answers

Answer:

Total Amount spent on all the cards = $ 42.3

No of cards  = 16 .

Step-by-step explanation:

The cost is calculated by multiplying the number of items with their costs. As we have different costs for each card we will add the costs of different cards to get the total costs.

Janet buys 3 postcards for $1.05.

Janet spends 3* $1.05= $ 3.15

Rosie buys five postcards for $1.75

Rosie spends 5 * $ 1.75= $ 8.75

Tanya buys eight postcards for $3.80

Tanya spends 8 * $3.80 = $ 30.4

Total Amount spent on all the cards = $ 3.15+$ 8.75+$ 30.4= $ 42.3

No of cards = 3 + 5+ 8= 16 cards were bought .

this one's a little tough u think ya'll can help me

Answers

Answer:

I'd like to say half because it's being divided by 2

Step-by-step explanation:

I hope this helps

Find the difference 3.4-(-1.5)

Answers

Answer:

4.9

Step-by-step explanation:

-×-=+

; 3.4 + 1.5=

4.9

I will give brainliest to whoever answers this!

Answers

It’s B because (2/3)^3 = 0.2962962963 and if you put that in fraction form you get 8/27 so it’s definitely B

Explain how to multiply two numbers with different signs.

Answers

Answer:When you multiply 2 Integers with the same signs,the result is always positive.Just multiply the absolute values and make the answer positive.When you multiply 2 integers with different integers the result is always negative. Just multiply the absolute values and make the answer negative.

At which point does the graph of the equation 2x+y=4 cross the x-axis

Answers

Answer: It crosses the x-axis at 2

Step-by-step explanation:

Hope this helped!

Answer:

easy, x=2 or (2,0)

Step-by-step explanation:

Since you are solving for x, you need to make y 0. So 2x+y(0)=4, 2x+0=4, 2x=4,x=2. So there you have it. x=2 or (2,0)

solve for x if z = m - x

Answers

Answer:

x=m-z

Step-by-step explanation:

The first step is to isolate x and to do this we got to subtract m from both sides which would give us -m+z=-x, the next step is to get x to be positive so we have to divide both sides by negative 1 which is because there is a 1 beside all of the values, and when we do divide both sides by negative 1 we get x=m-z

Among the 7th graders in a middle school, three quarters of them play at least one sport. Among the 7th graders who play sports, half of them play more than one sport. Among the 7th graders who play more than one sport, one third of them play more than two sports. Among the 7th graders who play more than two sports, one quarter of them play more than three sports. Sixteen 7th graders play more than three sports at the school. How many 7th graders are in the school

Answers

Answer:

512

Step-by-step explanation:

Let the number of 7th graders in the school is x.

As three-quarters of them play at least one sport, so, the number of 7th graders who play sport = [tex]\frac 3 4 x[/tex].

Among the 7th graders who play sports, half of them play more than one sport. So, the number of 7th graders who play more than one sport [tex]= \frac 1 2\times \frac 3 4 x=\frac 3 8 x[/tex].

Among the 7th graders who play more than one sport, one-third of them play more than two sports. So, the number of 7th graders who play more than two sport [tex]= \frac 1 3\times \frac 3 8 x=\frac 1 8 x[/tex].

Among the 7th graders who play more than two sports, one-quarter of them play more than three sports.

So, the number of 7th graders who play more than three sport [tex]= \frac 1 4\times \frac 1 8 x=\frac{1}{32} x[/tex].

7th graders play more than three sports at the school= 16

[tex]\Rightarrow \frac{1}{32} x=16[/tex]

[tex]\Rightarrow x =16 \times 32[/tex]

[tex]\Rightarrow x = 512[/tex]

Hence, the total numbers of 7th graders in the school are 512.

Brainliest answer to the quickest and most accurate response

Answers

(7x+14)+(4x-22)=180

11x-18=180

11x=198

x=18

(4)(18)-22

50

the small angles are 50

(3y+11)+10y=180

13y+11=180

13y=169

y=13

(10)(13)

130

the large angles are 130

proof:

(130(2))=(50(2))= 360

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