The cuboid and the triangular prism have the same volume. Find the value of x.

The Cuboid And The Triangular Prism Have The Same Volume. Find The Value Of X.

Answers

Answer 1

Answer:

x = 25

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = Al ( A is the area of the triangular face and l is its length )

A = [tex]\frac{1}{2}[/tex] bh = 0.5 × 5 × 8 = 20 cm² , then

V = 20 × 20 = 400 cm³

The volume of the cuboid is calculated as

V = lbh = 3.2 × 5 × x = 16x

Given V = 400 cm³ , then

16x = 400 ( divide both sides by 16 )

x = 25


Related Questions

Write down the next four terms in sequence 4,7,10,13,16,19

Answers

Answer:

22, 25, 28, 31

Step-by-step explanation:

Note there is a difference of + 3 between consecutive terms , then

19 + 3 = 22

22 + 3 = 25

25 + 3 = 28

28 + 3 = 31

Answer:

23,26,29,33

Step-by-step explanation:

There is a +3 diffierence in between the terms. to find the next four terms you just have to keep adding 3 to the lastest term.

If this helps you, please give brainliest.

Evaluate the expression when a=8.

a²-9=?

Answers

Answer:

(a-3)(a+3) is the answer

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {55}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] {a}^{2} - 9[/tex]

Substituting the value "[tex]a = 8[/tex]" in the above expression, we have

➺ [tex] \: {8}^{2} - 9[/tex]

➺ [tex] \: (8 \times 8) - 9[/tex]

➺ [tex] \: 64 - 9[/tex]

➺ [tex] \: 55[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Question 2 of 10 What is the length of side s of the square shown below? 45 6 09 90° O A. 6 O B. 2 O C. 32 O D. 5 O E. 3 OF. 6-12​

Answers

Answer:

C

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{6}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

2s = 6[tex]\sqrt{2}[/tex]  ( divide both sides by 2 )

s = 3[tex]\sqrt{2}[/tex] → C

A dress that costs $66.99 is on sale for 1/5 off. What is the sale price of the dress? Round your answer to the nearest cent.

Answers

Answer:

Step-by-step explanation:

The formula to figure this out is

[tex]C=66.99(1-.2)[/tex] where .2 is 1/5 in decimal form. What this means is that you may be saving 1/5 but you're still spending 4/5.

C = 66.99(.8) so

Cost = $53.59

the sale price of the dress is $53.59. you saved $13.40

In the triangle below, what is the length of the side opposite the 60° angle? O A. 3 O B. v O C. VE OD. 6

Answers

Answer:

I'm not sure what you mean by "O A. 3 O B. v O C. VE OD. 6", if that's just options for answers or something, But the side length opposite of the 60° angle would be 3.

I think The answer would be a

What is the height of the tower? Round to the nearest tenth.
How tall is the tower?

Answers

Step-by-step explanation:

call the height of the tower x

we have tan30°=x:200 so we can find x

Help with this question.

Answers

128³÷128²+272²+272³

128+272=400÷128*272=400

400÷400=1

What are the solutions of the equation (x + 2)^2+ 12(x + 2)-14=0? Use u substitution and the quadratic formula to solve

Answers

Answer:

Step-by-step explanation:

Obviously, we are letting u = x + 2. So what we have when we rewrite using this substitution is

[tex]u^2+12u-14=0[/tex] and we plug that into the quadratic formula with

a = 1, b = 12, c = -14:

[tex]u=\frac{-12+-\sqrt{12^2-4(1)(-14)} }{2(1)}[/tex] which can be simplified to

[tex]u=\frac{-12+-\sqrt{144+56} }{2}[/tex] and a bit more to

[tex]u=\frac{-12+-\sqrt{200} }{2}[/tex] and a tiny bit more to

[tex]u=\frac{-12+-10\sqrt{2} }{2}[/tex] and finally to

[tex]u=-6+-5\sqrt{2}[/tex] and plug back in for u:

x + 2 = -6 ± 5√2 and then subtract the 2 to get

x = -8 ± 5√2

Evaluate the expression (4p - m) where m=-4 and p=2
Show the work plz.

Answers

Answer:

12

Step-by-step explanation:

(4p - m)

Let m = -4 and p=2

( 4* 2 - (-4))

Multiply

8 - -4

Add

8+4

12

Answer:

Step-by-step explanation:

m = - 4   & p =2

4p - m = 4*2 - (-4)

            = 8 + 4

            = 12

The root for an equation x²-px+6=0 ls 3. Find the value of p
Jawapan / Anne
IP​

Answers

Answer:

5

Step-by-step explanation:

Given that 3 is a root of the equation x²-px+6=0

To find the value of p, substitute 3 into the equation for x

Hence x²-px+6=0

becomes

3^2 - 3p + 6 = 0

9 -3p + 6 = 0

collect like terms

-3p = -9 - 6

-3p = -15

Divide both sides by -3

p = -15/-3

p = 5

use counters to add 2+ -1.​

Answers

Answer:

the answer is 1

Step-by-step explanation:

2+(-1)

2-1

1

+ and - always result in - so +(-1) is -1 and 2-1 is 1.

Answer:

1

Step-by-step explanation:

Negative 1 is used as a minus sign. I canceled the plus and now the equation is 2-1

1521 milliliters equals to how many liters??

Answers

Answer:

It is 1.521 Liters

Step-by-step explanation:

For the angle 0 = 150° moving counter-clockwise in standard position, determine which
primary trigonometric ratio is positive.

Answers

Answer: Start at the positive

x

-axis, then rotate left by the desired angle.

Explanation-

Standard position means the first arm of the angle is the positive

x

-axis, and the other arm is placed by rotating counter-clockwise from there, by the amount of the angle.

As a basic example, the symbol

is about a 45° angle in standard position.

To get a feel for where the second arm (called the "terminal arm") will go, remind yourself that the axes themselves meet each other at 90°.

If our angle was 90°, the terminal arm would be on the positive

y

-axis.

If our angle was 180°, it would be on the negative

x

-axis.

Wait! 180° is more than 150°, so our angle is somewhere in quadrant 2. In fact, 150° is 2/3 of the way between 90° and 180°, so our terminal arm will be 2/3 of the way into quadrant 2.

graph{(y+tan(pi/6)x)(y^2-.00001x)=0 [-10, 10, -5, 5]}

(ignore the part of the line in quadrant 4)

a hiker in africa discovers a skull that contains 41% of its original amount of c-14. find the age of the skull to the nearest year

Answers

9514 1404 393

Answer:

  7371 years

Step-by-step explanation:

The half-life of Carbon-14 is reportedly about 5730 years. Then the exponential decay equation can be written as ...

  f = (1/2)^(t/5730)

where f is the fraction remaining after t years.

Taking logarithms and solving for t, we find ...

  log(f) = (t/5730)log(1/2)

  t = 5730·log(f)/log(1/2)

For the fraction f = 0.41, the age is approximately ...

  t = 5730·log(0.41)/log(1/2) ≈ 5730·1.286304 ≈ 7371 . . . years

The age of the skull could be estimated to be 7371 years.

CAN SOMEONE PLEASE HELP ME REAL QUICK ILL GIVE BRAINLIEST! :P

A cube-shaped box has a volume
of 95 cm. Which equation would
you use to determine the length
of one edge, E, of the box?

Answers

Answer:

v= 4.562902635

v =l*w*h

in a cube all are the  same

V=x^3

v =  [tex]\sqrt[3]{95}[/tex]

v=  [tex](95)^{1/3}[/tex]

Step-by-step explanation:

PLEAAAAAASEEEE HELPPPP ASAAPPPP 95 POINTS JUST FOR THIS
use the following arithmetic sequence and the formula an=a1+(n-1)d to answer the questions below 123,116,1099,102,95.
part 1. find the value of each of the following
part 2/ find the explicit formula, show work. part 3.
part 3. use the explicit formula you found from part 2 to find the value of the 100th term in the sequence show your work!

Answers

Answer:

see below

Step-by-step explanation:

123,116,109,102,95.

First find the common difference

d = 116 - 123 = -7

We are subtracting 7 each time

Using the formula

a1 = 123

d=-7

an = 123+ (n-1)(-7)

We need to find the 100th term

Let n = 100

a100 = 123 +(100-1) (-7)

         = 123+(99)(-7)

        = 123-693

        = -570

human right violation​

Answers

Answer:

A human rights violation is the disallowance of the freedom of thought and movement to which all humans legally have a right.

Step-by-step explanation:

What is the slope-intercept equation for the line below

Answers

Answer:

the answer is A

Step-by-step explanation:

Combine these radicals. -6v100 + V36​

Answers

Answer:

-54

Step-by-step explanation:

[tex]-6\sqrt{100} +\sqrt{36}[/tex]

-6 * 10 + 6

-60 + 6

= -54

100 = 50 *2

       = 25 * 2 * 2

       = 5 * 5 * 2 * 2

       = [tex]5^{2} *2^{2}[/tex]

 5 * 2 = 10

~~~~~~~~~~

36 = 6 * 6 = 3 * 3 * 2 * 2 = 3^2 ^ 2^2

3*2 = 6

The diameter of a circle is 19 inches. If the diameter is extended 5 inches beyond the circle to point C, how long is the tangent segment from point C to the circle? Use the figure below to help guide your response. Explain your answer and show all work.

Answers

Answer:

Exact Length = 2*sqrt(30)

Approximate Length = 10.95445

======================================================

Work Shown:

(tangent)^2 = (external secant)*(whole secant)

(CD)^2 = (CB)*(CA)

(CD)^2 = (CB)*(CB+BA)

x^2 = 5*(5+19)

x^2 = 120

x = sqrt(120)

x = sqrt(4*30)

x = sqrt(4)*sqrt(30)

x = 2*sqrt(30)  .......... exact length

x = 10.95445 ............. approximate length

The length of the tangent segment is; x = 10.95

Length of Tangent

From secant theorem, we know that;

Tangent ² = length of external secant × total length of secant.

From the image, we see that;

Length of tangent is x.

External secant = 5

Total length of secant = 19 + 5 = 24

Thus;

x² = 5 × 24

x² = 120

x = √120

x ≈ 10.95

Read more about length of tangent at;https://brainly.com/question/9132922

help me please........​

Answers

Answer:

I believe the second option.

Step-by-step explanation:

Summation properties and rules hurry please

Answers

Answer:

It is c

Step-by-step explanation:

What is the probability of living another year for a woman who is 73 years old ?

a) 0.951716

b) 0.968048

c) 0.980413

d) 0.991871

Answers

Answer:

0.980413

Step-by-step explanation:

The table for the deaths and death rate per 100,000 population is attached below ;

73 years fall in the 65 - 74 years category ; with 1958.7 deaths (Female)

Hence, the probability of living another year is :

Number of deaths per 100,000 population ;

P(death) = 1958.7 / 100,000 = 0.019587

Probability of living another year = 1 - P(death)

1 - 0.019587 = 0.980413

Answer:

C. 0.980413

FHKEDIbEDSAJFWBHES

Carlos keeps his cards in an album. So far he has lots of full pages plus another 48 cards ready to go in. Altogether, he has more than 500 cards. If each page holds 20 cards, write an inequality that represents how many pages of cards Carlos might have. Solve the inequality. Guys how do i do this, this is hard, pls pls help.

Answers

Answer:

x ≥ 22.6 pages

Step-by-step explanation:

Each page = 20 cards

Cards ready to go in = 48

Let x = number of pages of cards Carlos might have

The inequality:

20x + 48 ≥ 500

20x ≥ 500 - 48

20x ≥ 452

x ≥ 452 / 20

x ≥ 22.6 pages

Given: Angle T S R and Angle Q R S are right angles; Angle T Is-congruent-to Angle Q Prove: Triangle T S R Is-congruent-to Triangle Q R S Triangles T S R and Q R S share side S R. Angles T S R and S R Q are right angles. Angles S T R and S Q R are congruent. Step 1: We know that Angle T S R Is-congruent-to Angle Q R S because all right angles are congruent. Step 2: We know that Angle T Is-congruent-to Angle Q because it is given. Step 3: We know that Line segment S R is-congruent-to line segment R S because of the reflexive property. Step 4: Triangle T S R Is-congruent-to Triangle Q R S because of the ASA congruence theorem. of the AAS congruence theorem. of the third angle theorem. all right triangles are congruent.

Answers

Answer:

Its b on edge

Step-by-step explanation:

yes

The Triangle TSR ≅ QRS by AAS congruence, the correct option is B.

What is a Triangle?

A triangle is a polygon with three sides, vertices and three angles.

The triangle TSR and QRS are right-angle triangles, in a right angle triangle one of the angle is equal to 90 degree,

'These triangles have to be proved congruent,

They both have the right angle.

The measure of Angle T = Angle Q,

They both have a common side,

So, they both are congruent by AAS congruence theorem.

To know more about Triangle

https://brainly.com/question/2773823

#SPJ5

Math help please show work thanks

Answers

Problem 5

d = 29 = diameter

r = d/2 = 29/2 = 14.5 = radius

SA = surface area of sphere

SA = 4*pi*r^2

SA = 4*pi*(14.5)^2

SA = 841pi

SA = 841*3.14

SA = 2,640.74 square inches

To convert from square inches to square feet, we divide by 144. This is because 12^2 = 144.

2,640.74 square inches = (2,640.74)/144 = 18.3 sq ft

Answer: 18.3 square feet (approximate)

=====================================

Problem 6

d = 10.7 = diameter

r = d/2 = 10.7/2 = 5.35 = radius

L = 22.3 = slant height

SA = surface area of the cone

SA = pi*r^2 + pi*r*L

SA = pi*(5.35)^2 + pi*5.35*22.3

SA = 147.9275pi

SA = 147.9275*3.14

SA = 464.49235

Answer:  464.49235 square cm (approximate)

explain everything you know about y=x^2-5x-6

Answers

y = x^2 -5x-6 is a quadratic equation.

On a graph, rather than a straight line, this type of equation forms what is known as a parabola, which means it goes one direction and then makes almost like a U-turn.

The point in which the parabola (as mentioned before) changes direction is called the vertex.

Specifically, y = x^2 -5x-6 has exactly 2 solutions. This means that there are 2 different possible answers to this equation.

The solutions, or roots, to this equation are x= 6 and x= -1.

If you look at the graph for this equation, the parabola opens upwards like a U, and the vertex is ( 5/2, -49/4).

I really, REALLY need help. I will give brainliest to whoever figures it out.

Answers

Answer:

79.5 + 5.5x = Y

Step-by-step explanation:

Sumo wrestler gained 5.5 kg per month

After 11 month, he weighed 140 kg.

Let x be his current weight.

Then x + 11(5.5) = 140

  x = 140 - 60.5

  x = 79.5

If Y is the weight of the wrestler after t months, then the linear equation would be:

 79.5 + 5.5t = Y

Will mark brainliest

Answers

Answer:

the answer would be 270

Step-by-step explanation:

i can explain later:

since x = 5, you plug it in f = 4x +7, and you get f = 27 and since 1/2x is in the denominator, it will flip over and become 2x. 2x is 10, so you multiply f by g and get 270 which is if f/g(5) is the question.

Sonia took a loan of $10 000 from ABC bank tob pay for a renovation at home. The bank offered her a period of 30 months at a rate of 10.5%. to repay the loan:

a) Calculate the Simple Interest she would pay in 30 months.

b) Calculate the Total amount Sonia would have to repay the bank.​

Answers

Don’t worry I will get you your answer
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