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
harkovskaia [24]
3 years ago
8

Margo is creating a pencil caddy in the shape of a triangular prism. She is determining how much wood she needs to build the cad

dy. Her design is shown below.
The total amount of wood Margo needs to build her pencil caddy is
square inches.

Mathematics
1 answer:
natka813 [3]3 years ago
4 0

Answer:

a little late

205 1/5 is your answer

Step-by-step explanation:

break down the 3-D figure

Find area of triangle A=1/2bh

=1/2(8 inch)(6   9/10inch)

=1/2(8 inch)(69/10 inch)

=138/5 square inch

then multiply two because you have 2 triangles

=138/5 (2)  

= 276/5 square inch

= 55 1/5 sq.in

Find area of rectangle

A = lw

=6 1/4 in (8 in)

= 25/4 (8 in.)

= 50 sq. in.

then multiply by 3 because of the three rectangles

= 50 sq. inch (3)

= 150 sq. in.

Add all together

55 1/5 sq. inch + 150 sq. inch = 205 1/5 sq. inch

You might be interested in
If f of x equals 3x plus 2, find f of 4
Juli2301 [7.4K]

Answer:

f(4) = 14

Step-by-step explanation:

f(x) = 3x+2

Let x=4

f(4) = 3(4)+2

    = 12+2

    = 14

4 0
3 years ago
1. Undeliverable Mail Pieces. Of the 155 billion mailpieces the U.S. Postal Service (USPS) processed and delivered in 2017, 4.3%
Juli2301 [7.4K]

Answer:

The sampling distribution is, p = center = 0.043

The standard deviation of the sample, s = 6.0015×10⁻⁴

The shape is normal

Step-by-step explanation:

Here we have the standard deviation of a sample proportion, given by the following relation;

Standard \ deviation \ of\ \hat p = \sqrt{\frac{p(1-p)}{n} } =  \sqrt{\frac{0.043 \times (1-0.043)}{114250} } = 6.0015 \times 10^{-4}

The center = p = 4.3% or 0.043

The shape is found by the value of n×p hence;

114250 × 0.043 = 4912.75 > 10 and

n(1 - p) = 114250 × (1 - 0.043) = 109337.25 also > 10 hence the shape is normal.

3 0
3 years ago
Be sure to answer all parts. List the evaluation points corresponding to the midpoint of each subinterval to three decimal place
gayaneshka [121]

Answer:

The Riemann Sum for \int\limits^5_4 {x^2+4} \, dx with n = 4 using midpoints is about 24.328125.

Step-by-step explanation:

We want to find the Riemann Sum for \int\limits^5_4 {x^2+4} \, dx with n = 4 using midpoints.

The Midpoint Sum uses the midpoints of a sub-interval:

\int_{a}^{b}f(x)dx\approx\Delta{x}\left(f\left(\frac{x_0+x_1}{2}\right)+f\left(\frac{x_1+x_2}{2}\right)+f\left(\frac{x_2+x_3}{2}\right)+...+f\left(\frac{x_{n-2}+x_{n-1}}{2}\right)+f\left(\frac{x_{n-1}+x_{n}}{2}\right)\right)

where \Delta{x}=\frac{b-a}{n}

We know that a = 4, b = 5, n = 4.

Therefore, \Delta{x}=\frac{5-4}{4}=\frac{1}{4}

Divide the interval [4, 5] into n = 4 sub-intervals of length \Delta{x}=\frac{1}{4}

\left[4, \frac{17}{4}\right], \left[\frac{17}{4}, \frac{9}{2}\right], \left[\frac{9}{2}, \frac{19}{4}\right], \left[\frac{19}{4}, 5\right]

Now, we just evaluate the function at the midpoints:

f\left(\frac{x_{0}+x_{1}}{2}\right)=f\left(\frac{\left(4\right)+\left(\frac{17}{4}\right)}{2}\right)=f\left(\frac{33}{8}\right)=\frac{1345}{64}=21.015625

f\left(\frac{x_{1}+x_{2}}{2}\right)=f\left(\frac{\left(\frac{17}{4}\right)+\left(\frac{9}{2}\right)}{2}\right)=f\left(\frac{35}{8}\right)=\frac{1481}{64}=23.140625

f\left(\frac{x_{2}+x_{3}}{2}\right)=f\left(\frac{\left(\frac{9}{2}\right)+\left(\frac{19}{4}\right)}{2}\right)=f\left(\frac{37}{8}\right)=\frac{1625}{64}=25.390625

f\left(\frac{x_{3}+x_{4}}{2}\right)=f\left(\frac{\left(\frac{19}{4}\right)+\left(5\right)}{2}\right)=f\left(\frac{39}{8}\right)=\frac{1777}{64}=27.765625

Finally, use the Midpoint Sum formula

\frac{1}{4}(21.015625+23.140625+25.390625+27.765625)=24.328125

This is the sketch of the function and the approximating rectangles.

5 0
4 years ago
B-CR-SLHv2
liberstina [14]

Answer:

1 or 2

Step-by-step explanation:

2 if you write really small but otherwise 1 idea on 1 side of a notecard.

8 0
3 years ago
A restaurant had a monthly loss of $12 000 in the first five months after the grand opening. In the next seven
alexira [117]

loss=$7000

Step-by-step explanation:

profit=$5000

loss=$12000

therefore, 12000-5000=$7000

loss>profit

$7000=Loss

8 0
3 years ago
Other questions:
  • If x = 5, find the value of<br> a) x2<br> b) (x + 3)2
    11·1 answer
  • after every 9th visit to a restaurant you receive a free beverage after every 12th visit you receive a free appetizer if you vis
    14·1 answer
  • There are 15 pieces of gum in a pack, i wanna sell the pack for 10$ how much would each piece be
    12·2 answers
  • The school store sells pencils at 24 for $3.00. Compute both unit rates and explain what each means.​
    8·2 answers
  • Find is the value of x.*
    5·1 answer
  • Help me please thanks
    13·1 answer
  • PLEASE HELP ILL GOVE BRAINLYIST Solve 8y = 72.<br> The solution is y =
    12·2 answers
  • Find the volume for 2 different spheres by randomly choosing different radii.
    12·1 answer
  • Elisa ran a total of 8 4/5 miles on Saturday and Sunday. If she ran 5 1/4 miles on Saturday, how many miles did she run on Sunda
    12·1 answer
  • Question
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!