1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Reil [10]
3 years ago
7

The picture is what I need help with PLS HURRY

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
8 0

Answer: 2.70\ quarts\approx3\ quarts

Step-by-step explanation:

The area of a rectangle can be calculated with this formula:

A_r=lw

Where "l" is the lenght and "w" is the width.

And the area of triangle can be found with this formula:

A_t=\frac{bh}{2}

Where "b" is the base and "h" is the height.

First:

- Convert inches to feet:

(30\ in)(\frac{1\ ft}{12\ in})=2.5\ ft

- Convert the mixed number to decimal number:

30\frac{1}{10}=30+0.1=30.1

You can identify that the ramp is formed by three rectangles and two equal right triangles.

Since the bottom of the ramp does not have to be stained, you need to find:

1. The area of the smaller rectangle:

A_1=(2.5\ ft)(6\ ft)=15\ ft^2

2. The area of the larger rectangle on the top:

A_2=(30.1\ ft)(6\ ft)=180.6\ ft^2

3. The area of the triangles:

A_3=A_4=\frac{(30\ ft)(2.5\ ft)}{2}=37.5\ ft^2

Add the areas:

Total=15\ ft^2+180.6\ ft^2+37.5\ ft^2+37.5\ ft^2=270.6\ ft^2

Since a quart of stain covers 100 ft^2, for 270.6\ ft^2 you need to buy:

\frac{270.6}{100}=2.70\ quarts\approx3\ quarts

You might be interested in
Please answer below thx.
slava [35]

Answer:

24 cm

Step-by-step explanation:

since the two triangles are similar,

10cm/20cm = 36cm _ h/h

8 0
3 years ago
Calculate the perimeter and area of the triangle formed by the coordinates K (-4,-1) ,L(-2, 2), and M (3,-1).
Y_Kistochka [10]

Perimeter = 16.4 units

Using the heron's formula, Area ≈ 10.4 units².

<h3>What is the Heron's Formula?</h3>

The heron's formula is used to find the area of a triangle with known side lengths of all its three sides, a, b, and c. The heron's formula is given as: Area = √[s(s - a)(s - b)(s - c)], where s = half the perimeter of the triangle

s = (a + b + c)/2.

Given the following:

K (-4,-1) ,

L(-2, 2),

M (3,-1)

Use the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, to find KL, LM, and KM.

KL = √[(−2−(−4))² + (2−(−1))²]

KL = √13 ≈ 3.6 units

LM = √[(−2−3)² + (2−(−1))²]

LM = √34 = 5.8 units

KM = √[(−4−3)² + (−1−(−1))²]

KM = √49 = 7 units

Perimeter = 3.6 + 5.8 + 7 = 16.4 units

Semi-perimeter (s) = 1/2(16.4) = 8.2 units

KL = a ≈ 3.6 units

LM = b = 5.8 units

KM = c = 7 units

s = 8.2

Plug in the values into √[s(s - a)(s - b)(s - c)]

Area = √[8.2(8.2 - 3.6)(8.2 - 5.8)(8.2 - 7)]

Area = √[8.2(4.6)(2.4)(1.2)]

Area = √108.6336

Area ≈ 10.4 units²

Learn more about heron's formula on:

brainly.com/question/10713495

#SPJ1

8 0
1 year ago
What are the latitude and longitude coordinates of the entrance to the Mount Rushmore parking area?Latitude: 43.8753972, Longitu
Alborosie

Answer:

The answer is already in the question. The coordinates of the entrance to the Mount Rushmore parking area are given by latitude 43.8753972 and longitude -103.4523083.

Step-by-step explanation:

I believe the person asking the question wants some other detail that s/he did not state explicitly.

8 0
3 years ago
To the nearest​ millimeter, a cell phone is 72 mm long and 46 mm wide. What is the ratio of the width to the​ length
earnstyle [38]

Answer:

Length = 72 mm

Width = 46 mm

Ratio = 72:46 = 36:23

Step-by-step explanation:

72 and 36 both are divisible by 2. so when we divide them by two we get 36 and 23. we can divide both the sides only with the same number, but 36 and 23 have no common factors. so we leave it here and this is the answer.

5 0
3 years ago
A random sample of 100 automobile owners in thestate of Virginia shows that an automobile is driven onaverage 23,500 kilometers
Anastaziya [24]

Answer:

a) 22497.7 < μ< 24502.3

b)  With 99% confidence the possible error will not exceed 1002.3

Step-by-step explanation:

Given that:

Mean (μ) = 23500 kilometers per year

Standard deviation (σ) = 3900 kilometers

Confidence level (c) = 99% = 0.99

number of samples (n) = 100

a) α = 1 - c = 1 - 0.99 = 0.01

\frac{\alpha }{2} =\frac{0.01}{2}=0.005\\ z_{\frac{\alpha }{2}}=z_{0.005}=2.57

Using normal distribution table, z_{0.005 is the z value of 1 - 0.005 = 0.995 of the area to the right which is 2.57.

The margin of error (e) is given as:

e= z_{0.005}\frac{\sigma}{\sqrt{n} }  = 2.57*\frac{3900}{\sqrt{100} } =1002.3

The 99% confidence interval = (μ - e, μ + e) = (23500 - 1002.3, 23500 + 1002.3) =  (22497.7, 24502.3)

Confidence interval = 22497.7 < μ< 24502.3

b) With 99% confidence the possible error will not exceed 1002.3

5 0
3 years ago
Other questions:
  • What is the slope of the line y = 3? (1 point)<br><br><br> Undefined<br><br> 0<br><br> −3<br><br> 3
    7·2 answers
  • What is the mean of 104,20,8,104
    14·2 answers
  • Y''+2y'+y=2e^(-t)<br> find the general solution of the giving nonhomogenous differential equation
    12·1 answer
  • Can someone please factor this expression for me a²+4a-45​
    12·1 answer
  • Find the missing length indicated
    8·1 answer
  • Please answer this ASAP thank you!
    7·1 answer
  • Pls help i will give brainliest
    10·1 answer
  • 0.14 divided by 16.2
    14·2 answers
  • Dwight sits near a bowl of candies in his office. He observed how many candies each person took in a sample of
    7·1 answer
  • 210 divided by 30 please give step my step explanation
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!