A roof has the shape of an isosceles triangle with equal sides 8 cm long and base 12 m long. What is the measure of the angle of inclination of the roof to the nearest degree?

Answers

Answer 1

Answer:

41 degrees to the nearest degree.

Step-by-step explanation:

A line drawn from the vertex and bisecting the base forms 2 right triangles.

The base of one right triangle = 1/2 * 12 = 6 m.

So cos A = adjacent side /hypotenuse   where A is the angle of inclination.

cos A=  6 / 8 = 0.75

m < A = 41.41 degrees.


Related Questions

someone plz help me!

Answers

answer

d is the answer to the question

Round 100.9052 to the nearest 10th

Answers

Answer:

100.9

Step-by-step explanation:

The 10th place is the one one right after the decimal, in this case 9. Since there's a 0 next to the nine you don't have to change anything. Thus you get 100.9

Oil prices are projected to increase by 125% by next August. A quart of oil currently costs $1.25. What is the projected cost of a gallon of oil next August? Round your answer to the nearest hundredth.

Answers

Answer:

$2.81

Step-by-step explanation:

1.25 is 100% of the price

125% + 100% = 225%

x = price by august

x = 225% (1.25)

225% = 2.25

2.25(1.25) = 2.8125 ≈ $2.81

Another way to see it:

[tex]\frac{1.25}{x}[/tex] = [tex]\frac{100}{225}[/tex]

225(1.25) / 100 = 2.8125

Answer:

11.25

Step-by-step explanation:

A cylindrical tin of height 15 cm and radius 4 cm is filled with sand from a rectangular box. How many times can the tin be filled if the dimensions of the box are 50 cm by 40 cm by 20 cm?

Answers

Answer:

Volume of Box / volume of tin = number of tins required

Volume of box =50*40*20= 40000 cu.cm

Volume of Tin = pi*r^2*h=pi*4^2*15 = 754 cu.cm

4000/754= 53 tins (rounded off)

Step-by-step explanation: i'm sorry if this is a bit complicated but i hope it answers your question. Take care.

find the product of -8 (-12)​

Answers

The answer is 96.

-8 ( -12 ) = 96

Negative times negative equals positive

Answer:

-8(-12) = 96

Step-by-step explanation:

The word product, in mathematical terms, is the answer you get after multiplying something. So, to find the product of -8(-12), you have to multiply. A negative times a negative is equal to a positive, so -8 times -12 is equal to positive 96.

You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-2,-3),
(-2,4), (5,4) and (5,-3). Find the perimeter in yards and the area in square yards of the floor.

Answers

Answer:

Perimeter = 28 yards

Area = 49 square yards.

Step-by-step explanation:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let as consider the vertices of the floor are A(-2,-3), B(-2,4), C(5,4) and D(5,-3).

Using distance formula, we get

[tex]AB=\sqrt{(-2-(-2))^2+(4-(-3))^2}=\sqrt{(-2+2)^2+(4+3)^2}=\sqrt{0+7}^2=7[/tex]

Similarly,

[tex]BC=\sqrt{(5-(-2))^2+(4-4)^2}=7[/tex]

[tex]CD=\sqrt{(5-5)^2+(4-(-3))^2}=7[/tex]

[tex]AD=\sqrt{(5-(-2))^2+(-3-(-3))^2}=7[/tex]

It is conclude that, [tex]AB=BC=CD=AD[/tex].

From the given points it is clear that all sides lie on either vertical or horizontal lines.

Since all sides are equal, and adjacent sides are perpendicular, therefore, the base is a square with edge 7 yards.

Perimeter of square floor is

[tex]P=4a=4(7)=28\text{ yards}[/tex]

Area of square floor is

[tex]A=a^2=7^2=49\text{ sq. yards}[/tex]

Therefore, the perimeter is 28 yards and the area is 49 square yards.

50 POINTS! SOMEONE PLEASE HELP ME! :(

Answers

Answer:

a dot in an equation means multiplication

approximate the value of √5 to the nearest hundredth

Answers

Answer:

2.24

Step-by-step explanation:

[tex]\sqrt{5}[/tex] = 2.236067977...

Rounded to the nearest hundredth = 2.24

Answer: 2.24

Step-by-step explanation:

Use a calculator of some sort and find the square root of 5. Round to two decimal places after the whole number.

I’m confuse I need help

Answers

Answer:

f(-5) = -5/4

Step-by-step explanation:

Answer:

Answer is -1/20

Step-by-step explanation:

Hope this helps.

3 1/4 x 1 1/3 Please help!!! ~Kweenie~

Answers

The answer would be :- 28.416

Rod has to read a book which has p pages. He plans to read r pages each day for d days.
Write an equation for the number of pages left, b, in the book, after d days.

Answers

Answer:

Look at the attachment

The equation is an illustration of a linear function.

The equation for the number of pages left in the book is [tex]b =p- rd[/tex]

The total number of pages is:

[tex]Total = p[/tex]

The daily rate is:

[tex]Rate = r[/tex]

So, the number of pages read in d days is:

[tex]Pages = Rate \times Days[/tex]

This gives

[tex]Pages = r \times d[/tex]

Multiply

[tex]Pages = rd[/tex]

The number of pages left (b) is then calculated as:

[tex]b =Total - Pages[/tex]

So, we have:

[tex]b =p- rd[/tex]

Hence, the equation for the number of pages left in the book is [tex]b =p- rd[/tex]

Read more about linear equations at:

https://brainly.com/question/14323743

Find the area of the figure in the picture please!!!

Answers

Answer:

365cm^2

Step-by-step explanation:

Answer:

365cm ^2

I think

Hello, this is the owner sister, but can you please help me?b Please dont remove this for silly things

Answers

The answer is 825

*Substituted formula is*
30 x (10 + 15) + 5 x 5/2 x 2 + 5 x (30 -(5 x 2)

The concentration determined for an unknown sample of hydrochloric acid by a student is 0.1354 M.According to the instructor’s information, the true molarity (M) of this solution is 0.1364 M. What is the percent error in this experiment? Round your answer to the nearest tenth.

Answers

Answer:

≈ 0.7% error

Step-by-step explanation:

To solve for percent error, first you have to do 0.1354-0.1364 and take the absolute value, which is 0.001.

Then, divide 0.001 by 0.1364, and then multiply by 100, and the answer is 0.007331378299.

The percent error is approximately 0.7%

What is a salesperson's commission on a $1000 sale if the commission rate is 20%?

Answers

If it were 100 it would be $20, so for 1000 you just add one more zero and it’s $200

What's the center of the circle with the equation 
(x−9)^2+(x+16)^2=25?

(9,−16)

(−9,16)

(3,−4)

(−3,4)

Answers

Answer:

Center = (9, -16)

Step-by-step explanation:

So you already have the center in the equation.

The base form is [tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) = center.

Center = (9, -16)

That answer is (9,-16)

The graph shows the numbers of miles two cars travel.





Car B travels ___ more miles than Car A each hour.

Answers

Answer:

b goes 5 miles more than a, in 1 hour

Answer: 5 miles more than car A each hour

Step-by-step explanation: We have to look at each line carefully and the steepness as well as the numbers and we could clearly see that Car B thus travels 5 more miles than car A each hour!

Hope this helps <3

-Carrie

P.S. Please be sure to mark brainliest

STAY SAFE


84 is 30% of what number?
2.8
25.2
280
2520

Answers

Answer:

280

Step-by-step explanation:

30%=30/100=0.3

Let's call the mystery number x.

84=0.3x

84/0.3=0.3x/0.3

x=84/0.3=280

Hope this helps!

A teacher purchased a 1-foot long sub to share amongst a group of 4 students but decided to eat 1/3 of it. after dividing the rest of the sub into equal parts how much of a sub will each student receive please an answer and a question im confused

Answers

Answer:

2 inches

Step-by-step explanation:

Answer:

2 inches each

Step-by-step explanation:

1 foot = 12 inches

1/3 of 12 =4

left over :12 - 4 = 8

8/4 =2

3a) What is the side length of the following square?*

Answers

Answer:

5.831

Step-by-step explanation:

This is a similar problem to the last 2 you posted.

Start at bottom vertex. Go up 5. Go left 3.

c^2 = a^2 + b^2

c^2 = 5^2 + 3^2

c^2 = 25 + 9

c^2 = 34

c = sqrt(34)

c = 5.831

Solve the formula A= 8/2 for r.

Answers

Answer:

The steps are :

[tex]A = \pi {r}^{2} [/tex]

[tex] \frac{A}{\pi} = {r}^{2} [/tex]

[tex]r = \sqrt{ \frac{A}{\pi} } [/tex]

Therefore, the answer is B.

Answer: the answer is B.

Help me on this maths please

Answers

Answer: √300.89 or 17.3

Step-by-step explanation:

a^2 + b^2 = c^2

6.7^2 + b^2 = 16^2

b^2 = 16^2 - 6.7^2

= 256 - 44.89

b = √211.11 = 14.5

here to this question we have to use Pythagoras theorem that is

[tex] {a}^{2} + {b}^{2} = {hypotnuse}^{2} [/tex]

here,

a=6.7

b=x (cuz' we don't know it's value)

c= hypotenuse =16

now, substitute these values in the above formula then we get,

[tex] {6.7}^{2} + {x}^{2} = {16}^{2} \\ = 14.529[/tex]

as the answer should be given to 1 decimal place we get 14.529

Which ordered pair would form a proportional relationship with the point graphed below?

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Option B falls inside of the line, keeping it proportional

Find the lateral area of a right circular cone whose radius is 6 feet and height is 8 feet.

48π ft2
60π ft2
96π ft2

Answers

Answer:

60π ft2

Step-by-step explanation:

The formula for the lateral surface area of a cone is: πr [tex]\sqrt{h^{2} + r^{2} }[/tex]. You substitute the h for the height and r for the radius and tada! 60π ft2!

What is the area of the triangle?
8
10
6
units

Answers

Answer:

A = 24 units^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

The base is 6 and the height is 8

A = 1/2(6) *8

A = 24 units^2

AC =
Round your answer to the nearest hundredth.
B
6
70degrees
A
?
с

Answers

Answer:

AC ≈ 2.18 units

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan70° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{6}{AC}[/tex] ( multiply both sides by AC )

AC × tan70° = 6 ( divide both sides by tan70° )

AC = [tex]\frac{6}{tan70}[/tex] ≈ 2.18 ( to the nearest hundredth )

​Vanessa has 40 gallons of water to her new fish pond in her backyard and wants to add more water. Her pond can hold a maximum of 256 gallons. Her garden hose can add 48 gallons of water in 2 minutes.

Answers

Answer:

A) 24*m + 40 ≤ 256

B) She could leave the house running for at most 9 minutes

Step-by-step explanation:

The missing questions are:

Part A. Create an inequality to represent the number of minutes, m, Vanessa could run the garden hose to add more water to the pond without adding the maximum amount in case of rain.

Part B. Select all the amounts of time, in minutes, that Vanessa could leave the house running.

A) 48 gallons of water in 2 minutes is the same as 24 gallons per minute. Considering that her pond can hold a maximum of 256 gallons, it already has 40 gallons, and that the flow rate is 24 gallons per minute, the inequality is:

24*m + 40 ≤ 256

B)  Solving the previous equation:

24*m ≤ 256 - 40

m ≤ 216/24

m ≤ 9

Solve the equation.4[x+1/3]=20

Answers

Answer:

[tex]x=\frac{14}{3}[/tex]

Step-by-step explanation:

Open the brackets.

[tex]4x +\frac{4}{3}=20[/tex]

[tex]4x=\frac{56}{3}[/tex]

[tex]x=\frac{14}{3}[/tex]

Answer:

So first we need to divide both sides by four. The four on the left side will cancel out and the right side will become 5. Next we have

x+1/3=5

Now we need to subtract both sides by 1/3. The 1/3 will cancel out and the 5 will become 4 2/3.

All we will be left with is x

x = 4 2/3

I'm so sorry but I forgot and some of my notes are at school ( don't mind the yellow/orange high light )

Answers

Answer:

its a scalene triangle

Step-by-step explanation:

There are 6 brooms and 4 mops in a janitor's closet. What is the ratio of the
number of brooms to the number of mops?
O A.
MIN
0110
OC.
O D.
nim
SURA

Answers

Answer:

i believe it is A because 6/2=3, 4/2=2, which gives the ratio 3/2.

Step-by-step explanation:

The ratio of the number of brooms to the number of mops is 3:2.

What is Ratio?

In mathematics, a ratio is a phrase used to compare two or more numbers. It is used to express how large or tiny an amount is in comparison to another. A ratio compares two quantities by dividing them. The dividend is referred to as the "antecedent," while the divisor is referred to as the "consequent."

We have,

Number of brooms= 6

Number of mops= 4

So, the ratio of the number of brooms to the number of mops

= 6/4

=3/2

Thus, the required ratio is 3:2.

Learn more about Ratio here:

https://brainly.com/question/13419413

#SPJ7

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