Find the volume of the triangular prism.

Find The Volume Of The Triangular Prism.

Answers

Answer 1

Answer:

595

Step-by-step explanation:

So, the first step in solving this problem is finding the area of the base. To do this, we can split the triangle into halves, making two triangles with legs 5 and 7. Now, we just need to find the area for one triangle, and then multiply it by 2. The area of one triangle with legs 5 and 7 is 17.5, because (5*7)/2 is the formula for finding the area of the triangle. Now, we need to multiply the area of this triangle by 2 to get the area of the full triangle. 17.5*2 = 35, so the area of the base of the triangular prism is 35. Now, all we have to do is multiply the base by the height. Eventually, multiplying 35 * 17, we get 595.


Related Questions

3. What is the value of (4/3)^3

Answers

Answer:

64/27 = 2.37037037

Step-by-step explanation:

(4/3)^3

Calculate 4/3  to the power of 3 and get 64 /27

64/27

​  

In the text box, write the next 3 terms in the sequence and describe the pattern. In the checkbox, identify if the sequence is arithmetic, geometric or neither and identify if the sequence has a common ratio, a common difference or neither.

-4, -2, 0, 2, ____, ____, ____,

Arithmetic
Geometric
Neither
Common difference
Common ratio

Answers

Answer:

d = 2

Next 3 terms = 4, 6 and 8

Step-by-step explanation:

Given the sequence

-4, -2, 0, 2, ____, ____, ____,

common difference = -2-(-4) = 0-(-2) = 2

Since they have the same common difference, hence it is an arithmetoc progression

Tn  = a +(n-1)d

a is the first term = -4

n is the number of terms

d is the common difference = 2

Get the fifth term

T5 = -4+(5-1)2

T5 = -4+(4)(2)

T5 = -4 + 8

T5 = 4

T6 = -4+(6-1)2

T6 = -4+(5)(2)

T6 = -4 + 10

T6 = 6

T7 = -4+(7-1)2

T7 = -4+(6)(2)

T7 = -4 + 12

T8 = 8

Hence the next 3 terms are 4, 6 and 8

Combine these radicals.
- 12V12-23
O -503
0-2275
O -263
0 -10/12
Answer

Answers

its the 3rd answer 26V3

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The recommended daily dietary allowance for zinc among males older than age 50 years is 15 mg/day. The article "Nutrient Intakes and Dietary Patterns of Older Americans: A National Study" (J. of Gerontology, 1992: M145–150) reports the following summary data on intake for a sample of males age 65–74 years: n=115, barx =11.3, and s=6.43. Does this data indicate that average daily zinc intake in the population of all males ageing 65–74 falls below the recommended allowance?
A. State the null and alternative hypotheses.
B. Calculate the test statistic
C. Define the rejection region at ?=0.05.
D. Make a decision about the test and interpret.
E. Find the p-value corresponding to the test and based on which make a decision about the test. (The decision should be the same with D.)

Answers

Answer:

H0 : μ = 15

H1 : μ < 15

−6.170774

Step-by-step explanation:

Given :

n=115, barx =11.3, and s=6.43

H0 : μ = 15

H1 : μ < 15

−0.053658 ;

The test statistic :

(xbar - μ) ÷ s/sqrt(n)

(11.3 - 15) ÷ (6.43/sqrt(115))

Test statistic = −6.170774

Rejection region :

Reject Null ; if

Tstatistic < Zcritical

The P value is 0.00001 ; using the p value from Z calculator

Since,

P value < α

0.00001 < 0.05

Reject the null

1. identify the corresponding sides on the figure below

Answers

6 and 4,
8 and 12,
12 and 18
yes the ratios are equal (the ratio is 2:3 or 2/3)

Can someone help me with this problem?

Answers

Answer:

Step-by-step explanation:

The dashed vertical line indicates that -3 is not included so x is greater than -3. The diagonal line is solid indicating that it is included so y is greater than or equal to -4x/5 -2. So it is second answer.

Name the segment that is parallel to the
given segment.
9. AB
10. BC
11. EF
12. CA
13. GE
14. FG

Answers

Answer:

13 is the answer (GE) i hope this helped

The product of two numbers is 110 the difference of two numbers is one what are the two numbers

Answers

Answer:

The correct answer is 10 and 11.

Is 16:14 equivalent to 64:60

Answers

Answer:

no

Step-by-step explanation:

64/16 = 4

60/14 = 4.28...

Find the 8th term of the geometric sequence 3, 12, 48, ....

Answers

Answer:

The eighth term of the geometric sequence 3, 12, 48 ... is 49,152. You just multiply every number by 4 :)

So, the required 8th term is 49152.

Geometric Series:

The Geometric series formula or the geometric sequence formula gives the sum of a finite geometric sequence.

The sequence will be of the form [tex]\{a, ar, ar^2, ar^3, ..\}[/tex]

And the formula for the nth term is [tex]t_n=ar^{n-1}[/tex]

The given series is,

3, 12, 48, ....

First term=3

The common ratio is,

[tex]\frac{12}{3}=4\\ \frac{48}{12}=4[/tex]

So, the given series is geometric series so the 8th term by the above formula is,

[tex]t_8=3\times (4)^{8-1}\\t_8=49152[/tex]

Learn more about the topic Geometric Series:

https://brainly.com/question/26042879

a wall that is 4 ft. 3 in. tall is next to a tree. the figure shows the shadows that they cast. what is the height of the tree in feet and inches?

Answers

Answer:

[tex]Tree = 17ft[/tex]

Step-by-step explanation:

Given

[tex]Wall = 4ft\ 3in[/tex]

[tex]Wall\ Shadow = 6ft[/tex]

[tex]Tree\ Shadow = 24ft[/tex]

Required:

Determine the height of the tree

To do this, we make use of the following equivalent ratios

Wall : Wall Shadow = Tree : Tree shadow

Substitute values for Wall, Wall Shadow and Tree Shadow

[tex]4ft\ 3in : 6ft = Tree : 24ft[/tex]

Convert all units to ft

[tex]4ft+ 0.25ft : 6ft = Tree : 24ft[/tex]

[tex]4.25ft : 6ft = Tree : 24ft[/tex]

Convert to fractions

[tex]\frac{4.25ft}{6ft} = \frac{Tree }{ 24ft}[/tex]

Cross Multiply

[tex]Tree * 6ft = 4.25ft * 24ft[/tex]

[tex]Tree * 6ft = 102ft^2[/tex]

Make Tree the subject

[tex]Tree = \frac{102ft^2}{6ft}[/tex]

[tex]Tree = \frac{102ft}{6}[/tex]

[tex]Tree = 17ft[/tex]

Hence, the tree is 17ft tall

compare fractions
HELP, GIVING BRAINLIEST

Answers

Answer:

a) 5/6

b) 7/8

c) 3/4

Step-by-step explanation:

Draw models for the fractions provided and compare.

Hope this helps.

Answer:

5/6<6/7  3/4<5/6>7/8     2/3>3/4>7/12

A line passes through the point (8,-8) and has a slope of 3/4. Write an equation in slope-intercept form for this line.

Answers

Answer:

Step-by-step explanation:

y + 8 = 3/4(x - 8)

y + 8 = 3/4x - 6

y = 3/4x - 14

Sam ate 2/7 of a pizza. Jules ate 2/5 of the same pizza, not the portion of it left by Sam. How much was left. Write a fraction.

Answers

11/35 of the pizza is left.

I need help with this ion understand it

Answers

Answer:

c. 30

Step-by-step explanation:

Reference angle = [tex] /theta [/tex] = ?

Hypotenuse = 23

Adjacent side = 20

Thus, applying CAH:

[tex] Cos(/theta) = \frac{adj}{hyp} [/tex]

[tex] Cos(/theta) = \frac{20}{23} [/tex]

[tex] /theta = cos^{-1}(\frac{20}{23}) [/tex]

[tex] /theta = 29.5918458 [/tex] ≈ 30° (nearest degree)

What is the possible value of k such that √50 and √k can be written as a single term?

Answers

Do you mean solve √50 = √k ?
k = 50

The possible value of k such that √50 and √k can be written as a single term is; 50

Since √50 and √k are equal as described in the question;

√50 = √k.

The question requests that we determine What is the possible value of k such that √50 and √k can be written as a single term.

The possible value of k is therefore; 50.

Read more;

https://brainly.com/question/11388449

Please help!! Timed!! Brainliest for correct, multiple choice !

Answers

Answer:

its d)x=3.

Step-by-step explanation:

If we're finding the extrema using the vertex then its x=3

The medical practice you are working at has seen an average of 22.4 patients a day for the past 3 months. 3/4ths of those patients have insurance in one form or another.

Answers

I think I’m total there should be over 345 patients total. So that’s how the answer is

How can you use ratios to convert metric units of measure?​

Answers

Answer:

We can convert any measuring unit to another by multiplying it by a very special ratio (or ratios) that equals ONE. We can form these special ratios from the conversion factors. For example, 1 ft = 12 in is a conversion factor, and we can write from it the ratios 1 ft/12 in and 12 in/1 ft, which both equal 1.

Answer: You can convert any measuring unit to another by multiplying it by ratios that equals one.

Step-by-step explanation:

What does this fraction show or model what’s the answer I need help

Answers

Answer:

I belive that the answer is D because there is 2 items and if u count the different colors by 1 it would be 6

What is the slope-intercept form of the equation of the line parallel to the line in the graph that passes through the point (-1, 1)?

Answers

Answer:

undefined

Step-by-step explanation:

Find the value of x.

Answers

9514 1404 393

Answer:

  120°

Step-by-step explanation:

There are several ways you can redraw this figure to help you find the value of x. One of them is to draw a line perpendicular to the parallel lines, intersecting the vertices of the given angles*. Then the interior angles of the triangle formed will be ...

  125° -90° = 35°

  115° -90° = 25°

The angle that is a vertical angle with x is the third angle of the triangle, so its measure is ...

  x = 180° -35° -25° = 120°

The value of x is 120°.

Answer:

not sure

Step-by-step explanation:

Draw the proble. give me steps. Please​

Answers

Answer:

I cant draw 4 u sry

Answer:

A. c = 3.5h + 15

Step-by-step explanation:

I can't exactly draw the problem BUT I can still help.

C represents the cost altogether but we do not know how much the total cost would be.

So we're paying $15 as a fee, no more from that.

Next, there's another fee that costs $3.50 per hour but since we wouldn't know how long we would use the kayak, hours would represent h.

Now, c = 3.5h + 15.

(In other words, the cost to rent a kayak would be $3.5 PLUS the additonal 15 one time cost.)

According to Open Data Network, in 2016 there were approximately 3,737 people per square mile in Houston, Texas. If Houston, Texas is 600 square miles, approximately how many people lived in Houston, Texas in 2016?

Answers

Answer:

Number of people lived in Texas =  2,242,200

Step-by-step explanation:

Given:

People per square mile = 3,737

Area of Texas = 600 square mile

Find:

Number of people lived in Texas

Computation:

Number of people lived in Texas = People per square mile x Area of Texas

Number of people lived in Texas = 3,737 x 600

Number of people lived in Texas =  2,242,200

11. Harvey the wonder hamster can run 3 1/4 km in 1/2 hour. If Harvey runs at a constant rate, how fast can he run in 1 hour. (Write your answer as a decimal.) *​

Answers

Answer:

He runs 6.5 km in one hour.

Step-by-step explanation:

3 ¼ km per half hour = 6.5 km per hour.

Answer:

12 2/3

Step-by-step explanation:

there are 4 quarters to 1 hour

3 1/6 x 4 =  

19/6 * 4 = 76/6 = 12 4/6, reduces to 12 2/3 km per hour

pls mark brainliest

The slope is 2.
O True
O False

Answers

Answer:

false

Step-by-step explanation:

`Slope = [tex]\frac{rise}{run}[/tex] = [tex]\frac{-2}{1}[/tex]. So, it is false.

Answer:

False

Step-by-step explanation:

Slope = Change in y/ Change in x

=(1-3)/(2-1)

=-2

4. The length of a rectangle is eight more
than twice its width. The perimeter is 96
feet. Find the dimensions of the rectangle.
Variable:
Equation:
Solution:




Answers

Answer:

L = length

W = width

L = 2(2W + 8)

W = 2W

Perimeter: 96 = 4W + 16 + 2W

96 = 6W + 16

80 = 6W

13.33 = W

Plug this into the equation:

2(13.33) + 8

26.67 + 8 or 34.67 = L

Step-by-step explanation:

Find the distance d(P1, P2) between the points P1 and P2.

P1 = (4,-5); P2 = (3,3)

d(P1,P2) =
(Simplify your answer. Type an exact answer, using radicals as needed.)

Answers

Answer:

[tex]\displaystyle d = \sqrt{65}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

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

Step-by-step explanation:

Step 1: Define

P1 (4, -5) → x₁ = 4, y₁ = -5

P2 (3, 3) → x₂ = 3, y₂ = 3

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                        [tex]\displaystyle d = \sqrt{(3-4)^2+(3--5)^2}[/tex][Distance] [√Radical] (Parenthesis) Simplify:                                                 [tex]\displaystyle d = \sqrt{(3-4)^2+(3+5)^2}[/tex][Distance] [√Radical] (Parenthesis) Subtract/Add:                                          [tex]\displaystyle d = \sqrt{(-1)^2+(8)^2}[/tex][Distance] [√Radical] Evaluate exponents:                                                    [tex]\displaystyle d = \sqrt{1+64}[/tex][Distance] [√Radical] Add:                                                                                [tex]\displaystyle d = \sqrt{65}[/tex]

Please help im confused

Answers

Answer:

1) 65.1

2) 3.4

Step-by-step explanation:

sorry I can't explain well but those are the answers

Answer:

Step-by-step explanation:

area of rectangle = 8×5 = 40 cm²

area of semicircle = ½×π4² = 8π cm²

total area = 40 + 8π ≅ 65.1 cm²

:::::

area of circle = π2² = 4π in²

area of square = 4⁴ = 16 in²

blue area = 16 - 4π ≅ 3.4 in²

Help with geometry please

Answers

9514 1404 393

Answer:

  27/36

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the tangent relation is ...

  Tan = Opposite/Adjacent

  tan C = AB/CB

  tan C = 27/36

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