A Ramp 35 Ft Long Rises To A Platform. The Bottom Of The Platform Is 18 Ft From The Foot Of The Ramp. (2024)

Mathematics College

Answers

Answer 1

Answer:

[tex]x\approx 59.1^\circ[/tex]

Step-by-step explanation:

Since we want to find x and we are given the hypotenuse and the side adjacent to x, we can use the cosine ratio:

[tex]\displaystyle \cos x=\frac{\text{adjacent}}{\text{hypotenuse}}[/tex]

The adjacent side is 18 and the hypotenuse is 35. Substitute:

[tex]\displaystyle \cos x=\frac{18}{35}[/tex]

Take the inverse cosine both sides. Use a calculator (make sure you're in Degrees mode!). Hence:

[tex]\displaystyle x=\cos^{-1}\frac{18}{35}\approx59.1^\circ[/tex]

Related Questions

5
Ginny is baking mince pies.
(a) A recipe says to use 3000 g of mincemeat for 100 pies.
How many grams of mincemeat will she need for 70 pies?

Answers

It would be 2100.
3000/100=30
30•70=2100

Answer:2100g

Step-by-step explanation:

We can use ratios to solve this:

100 pie : 3000g

1 pie : 30g

70 pie : 2100g

HELPP PLEASEE TELL ME WHICH IS RIGHT AND WRONG AND HELP KE EXPLAIN I DONT WANNA FAIL SUMMER SCHOOL NO LINKS OR FILE WOULD BE DEEPLY APPRECIATED

Answers

Answer:

Orca Correct, Sea Star Wrong. Heart it if it was helpful :D

Step-by-step explanation:

11-4=7. Orca correct.

Sea star...11-4=7

Wrong its 7, not -7

Answer:

The orca is right and the sea star is wrong.

If you were to add 11 to -4, it would no longer be a negative number.

You take four out of 11 which would bring it to a zero. There would be 7 left, therefore the answer being a positive 7.

A regular hexagon of side 8 cm is given. the hexagon is devided into 6 congruent triangles . calculate the area of the hexagonal​

Answers

Answer:

96√3 cm^2

Step-by-step explanation:

half base = 4 cm

height of each triangle = 4√3 cm

Area of each triangle

(8 * 4√3)/2 = 16√3 cm^2

area of the hexagonal = 16√3 * 6 = 96√3 cm^2

Use the diagram below to match the ratios below. B a A b sin B COS B tan B tan A COS A sin A​

Answers

Answer:

See explanation

Step-by-step explanation:

Given

The attached triangle

Required

Complete the ratios

(a) sin B

[tex]\sin(B)[/tex] is calculated as:

[tex]\sin(B) = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin(B) = \frac{b}{c}[/tex]

(b) cos B

[tex]\cos(B)[/tex] is calculated as:

[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos(B) = \frac{a}{c}[/tex]

(c) tan B

[tex]\tan(B)[/tex] is calculated as:

[tex]\tan(B) = \frac{Opposite}{Adjacent}[/tex]

[tex]\tan(B) = \frac{b}{a}[/tex]

(d) tan A

[tex]\tan(A)[/tex] is calculated as:

[tex]\tan(A)= \frac{Opposite}{Adjacent}[/tex]

[tex]\tan(A) = \frac{a}{b}[/tex]

(e) cos A

[tex]\cos(A)[/tex] is calculated as:

[tex]\cos(A) = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos(A) = \frac{b}{c}[/tex]

(f) sin A

[tex]\ain(B)[/tex] is calculated as:

[tex]\sin(B) = \frac{Opposite}{Adjacent}[/tex]

[tex]\sin(B) = \frac{a}{c}[/tex]

True or false: Is 8.4 equal to 8 hours and 40min? Moreover, What would be the hour and min for 8.9? Explain thoroughly

Answers

Answer: I only have an answer for the first question, but I think its true .

I'm not sure though so I would clarify it .

Step-by-step explanation:

The reason why I think its true because, 8.4 is also equal to 8.40 . Also, if 8.4 was the answer to something and you put: 8.40 you would still be right .

Hope you get this right!

Find the area of the triangle.
8 in.
14 in.
Area: 18
square inches

Answers

Answer: 2,016 I think sorry if I am wrong

Then choose the correct answer as to what you did to
graph it.
x < 5
Open point, shade to the right
Open point, shade to the left
Closed point, shade to the right
Closed point, shade to the left

Answers

Answer: shade too the left

Step-by-step explanation: i don't know what closed point is but if you use something called desmos then press start graphing and put in that equation it will give you the graph you need

Write an equation for the nth term of each geometric sequence:
5, 10, 20, 40,​

Answers

Answer:

a(n) = 5*2^(n-1)

Step-by-step explanation:

The nth term of a geometric series is given by the relation :

a(n) = ar^(n-1)

Where, a = first term ; r = common ratio ; a(n) = nth term of the series.

Given the series : 5, 10, 20, 40,​

First term, a = 5

Common ratio = a2/ a1 = a3/a2

Common ratio = 10/5 = 20/10

Common ratio = 2 = 2

Hence, nth term =

a(n) = 5*2^(n-1)

Which number line shows the solution set for |a|= 6

Answers

Answer:

O the first number line

Step-by-step explanation:

|a| = 6

|?| = absolute value

to find absolute value of a number, it must be a opposite number from the origina number

|a| = 6

|-6| = 6

6 = 6

Answer:

A)

Step-by-step explanation:

find the nonpermissible replacement for b in this expression b-7/b-1 ​

Answers

Answer:

1

Step-by-step explanation:

b cannot equal 1 as that would be dividing by zero

If you help me and explain to me how you got you’re answer you get Brainly

Answers

Answer:

KRM = 44 degrees, MRD = 46 degrees

Step-by-step explanation:

This angle is a right angle so it equals 90 degrees. That means that equations 3g + 29 and 7g + 11 will amount to 90 degrees.

(3g + 29) + (7g + 11) = 90

Combine like terms:

10g + 40 = 90

10g = 50

g = 5

Plug in 5 to both equals (in this case the question only asks for 3g + 29 or KRM):

3(5) + 29 =

15 + 29 =

44 =

7(5) + 11 =

35 + 11 =

46 =

Tom and Kathy want to borrow $35,000 in order to build an addition to their home.
Their bank will lend them the money for 12 years at an interest rate of 5 %%. How
much will they pay in interest to the bank over the life of the loan?
A. $330,34
B. $12,568.96
C. $47,568.96
D. $13, 568.96

Answers

Answer:

I think its C you can hate how much you want if I'm wrong im more of a no tester when I get an answer i check but not online

Step-by-step explanation:

The interest to the bank over the life of the loan is $12568.96 if the Tom and Kathy want to borrow $35,000 in order to build an addition to their home.

What is debt?

It is defined as the amount one party needs to pay to another party as the first party borrowed an amount which will credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circ*mstances.

We know the formula for the monthly payment:

[tex]\rm p = \dfrac{r\times pv}{1-(1+r)^{-n}}[/tex]

r = 5 3/8% = 5.375 = 0.05375

Period of the loan n = 12×12 = 144

Loan amount = $35,000

After calculating, we will get:

Monthly payment = $330.34

Total payment = 330.34×12×12 = $47568.96

Total pay in interest to the bank over the life of the loan:

= $47568.96 - 35000

= $12568.96

Thus, the interest to the bank over the life of the loan is $12568.96 if the Tom and Kathy want to borrow $35,000 in order to build an addition to their home.

Learn more about the debt here:

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Please help me!! I will try to give brainliest!!!

Answers

Answer:

If you round it the 30. If not round 29.7

Step-by-step explanation:

Branliest plz :)

It takes Max 9 minutes to read 10 pages of his book. Which equation represents the
relationship between the number of pages, p, that Max can read and the number of
minutes, m?

Answers

Answer:

y represents the pages, while x represents the minutes. for every y, there is 9/10 x, therefore the equation is y=9/10x

What is the name of part B in the sphere below? A sphere. The great circle is labeled B. radius diameter center great circle

Answers

Answer: I'm pretty sure that it is D. Great circle

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

El lado mas largo de un triangulo rectangulo es 5 mas que 4 veces el laso mas corto. El tercer lado es 10metros que la suma de los otros dos. sea 8 cm la longitud del lado mas corto.

Answers

Answer:

the answer is that yoy need to learn how to speak english

4 time 4

equals 16

For Cinco de Mayo last week, Anna's Taqueria was having a deal on tacos. You could order 6 tacos for $8.94 or get 10 tacos for $14.50. Which is the better deal?

Answers

Answer:

the best one is 10 tacos for 14.50

Step-by-step explanation:

first u have to find unit rate for 6 tacos is 1.49 and for 10 tacos is 1.45 the difference is 4 cents but the best deal is the ten tacos

Which polynomial is in standard form? o 4 + 3xy - 5xy3 + y4 o –x4 + x3y2 + 7xy3 - 2y4x2 0893 + 10ab2 - 12a2b3​

Answers

Answer:

46

Step-by-step explanation:

To me the question is not properly written. If you check and re write, I will try to answer it

What is the GCF of 162? SHOW ALL YOUR WORK AND EXPLAIN

Answers

Answer:

162

Step-by-step explanation:

Factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162. There are 10 integers that are factors of 162. The greatest factor of 162 is 162.

Find the greatest common divisor (gcd):

gcd(162)

Hint: | What is the largest divisor of a positive integer?

A positive integer's largest divisor is the integer itself:

Answer: gcd(162) = 162

The volume of a sphere is 2400 cm³, What is the approximate diameter of the sphere?

A) 16.6 cm
B) 10.1 cm
C) 8.3 cm
D) 4.2 cm

Answers

Answer:

Option A is the correct answer, since it is the closest answer.

Step-by-step explanation:

volume: V = 4/3 πr³

Try replacing r with half number of the options

A) 4/3 x π x 8.3 ^3 = 2395.09

B) 4/3 x π x 5.05 ^3 = 539.46

C) 4/3 x π x 4.15 ^3 = 299.38

D) 4/3 x π x 2.1 ^3 = 38.79

What is the radius of a sphere with a volume of 384\text{ ft}^3,384 ft
3
, to the nearest tenth of a foot?

Answers

Answer:

r≈4.5 ft

Step-by-step explanation:

r≈4.5 ft

\text{Volume of a Sphere:}

Volume of a Sphere:

V=\frac{4}{3}\pi r^3

V=

3

4

πr

3

384=

384=

\,\,\left(\frac{4}{3}\pi\right) r^3

(

3

4

π)r

3

384=

384=

\,\,(4.1887902)r^3

(4.1887902)r

3

Evaluate 4/3pi in calc

\frac{384}{4.1887902}=

4.1887902

384

=

\,\,\frac{(4.1887902)r^3}{4.1887902}

4.1887902

(4.1887902)r

3

Evaluate \frac{4}{3}\pi

3

4

π in calc

91.6732472=

91.6732472=

\,\,r^3

r

3

\sqrt[3]{91.6732472}=

3

91.6732472

=

\,\,\sqrt[3]{r^3}

3

r

3

Cube root both sides

4.5090066=

4.5090066=

\,\,r

r

\text{Final Answer:}

Final Answer:

r\approx 4.5\text{ ft}

r≈4.5 ft

Round to nearest tenth

The radius of the sphere is approximately 4.2 feet.

What is the volume of the sphere?

To find the volume of a specific sphere, we need to know its radius. Once we have the radius, we can plug it into the formula and calculate the volume.

The formula for the volume of a sphere is:

V = (4/3) x π x r^3

where V is the volume of the sphere, r is its radius, and π is a mathematical constant approximately equal to 3.14.

We are given the volume of the sphere, so we can plug it into the formula and solve for the radius:

384 = (4/3) x π x r^3

Dividing both sides by (4/3) x π, we get:

r³ = 384 / ((4/3) x π)

r³ = 72.825

Taking the cube root of both sides, we get:

r ≈ 4.243

The radius of the sphere is approximately 4.2 feet.

To know more about volume follow

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Which linear inequality is graphed In the figures

Answers

The answer is B because the line is not dotted.

Which is the lower rate?
44 people in 4 theaters or 100 people in 10 theaters

Answers

Answer:

100 in 10 theaters. 100÷10=10 44÷4=11

Find cos0, where 0 is the angle shown. Give an exact value, not a decimal approximation. (listing BRAINLEST)​

Answers

Step-by-step explanation:

everything can be found in the picture

simon has a quarter, dime, nickel, and penny in his pocket. He wants to buy a snack at the canteen that costs 40¢. If he pulls out one coin at a time, what is the probability that the first 3 coins that are equal to $0.40?

Answers

Answer:

1/4

Step-by-step explanation:

Q=event of pulling a quarter (25 cents)

D=event of pulling a dime (10 cents)

N=event of pulling a nickel (5 cents)

P=event of pulling a penny (1 cent)

Simon needs to pull out the penny last, so that the first three coins add up to $0.40.

We assume the coins are wrapped so it is a random choice.

For the first coin, probability of NOT pulling a penny is 3/4,

similarly, for the second coin, probability of NOT pulling a penny is 2/3,

for the third coin, probability of NOT pulling a penny is 1/2,

For all this to happen, we use the multiplication rule

P(3 coins but no penny) = (3/4*2/3*1/2) = 1/4

answer please I’m dying from math

Answers

Step-by-step explanation:

It's C

I hope it helped:)

what is the length if the baseedge labeled X? Will mark brainliest if correct.

Answers

Answer:

Answer is 18

Step-by-step explanation:

[tex]w = 3 \frac{v}{hl} [/tex]

w = 3(108 ÷ 18)

=3(6)

=18

Jacob and Shawna are selling shirts and hats for a
school fundraiser. Jacob sold 1 hat and 7 shirts for a
total of $68. Shawna sold 4 hats and 14 shirts for a total
of $146. Find the cost of one hat and one shirt.

Answers

answer:

$9 for a shirt

$5 for a hat

In Rosewood City, the library is 6.5 miles fue south of the courthouse and 3.4 miles due west of the community swimming pool. What is the distance between the courthouse amd the community swimming pool?

If necessary, round your answer to the nearest tenth.

Answers

Answer:

7.3 miles

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

3.4^2 + 6.5^2 = h^2

11.56+42.25=h^2

53.81= h^2

Taking the square root of each side

sqrt(53.81) = sqrt(h^2)

7.335529974=h

Rounding to the nearest tenth

7.3 =h

A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:
734 769 687 689 759 752 739 694 736 700 768 693 713
732 712 700 707 730 711 700 703 710 682 753 706
a. Find the mean, median and mode of this information. (Round your answers to 2 decimal places.)
Mean $
Median $
Mode (Click to select)$700$712$694
b. What are the range and standard deviation? (Round your answers to 2 decimal places.)
Range $
Standard deviation $
c. Use the Empirical Rule to establish an interval which includes about 95 percent of the observations. (Round your answers to 2 decimal places.)
The interval is from $ up to $ .
Expense
734
769
687
689
759
752
739
694
736
700
768
693
713
732
712
700
707
730
711
700
703
710
682
753
706

Answers

Answer:

a) The mean μ = 719,16

The median is the middle number m = 711

The mode is the number that occurs more often

md = 700

b) The range r = 67

The standard deviation σ = 25.63

I ( 95 % ) = ( 667.90 ; 770.42)

Step-by-step explanation:

We order the set of numbers in ascending order

682 687 689 693 694 700 700 700 703 706 707 710 711 712 713 730 732 734 736 739 752 753 759 768 769

The mean μ = Σ xi/n

μ = 719,16

The median is the middle number

m = 711

The mode is the number which occurs more often

md = 700

The range is r = 769 - 682 r = 67

c) Interval with 95 % of observations is ( μ + 2σ ; μ- 2σ )

I = ( 719.16 - 2*25.63 ; 719.16 + 2*25.63)

I ( 95 % ) = ( 667.90 ; 770.42)

A Ramp 35 Ft Long Rises To A Platform. The Bottom Of The Platform Is 18 Ft From The Foot Of The Ramp. (2024)
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