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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

Answer:

-5

Step-by-step explanation:

f(x) = 5 cos ( 3x)

f(60)  means let x = 60

f(60) = 5 cos ( 3*60)

        = 5 cos (180)

        = 5 (-1)

       = -5

Answer: -5

Step-by-step explanation:

5cos 3x60

5cos 60

5 x (-1) = -5

Skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar.

What is Skew lines definition?

Skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar. This implies that skew lines can never intersect and are not parallel to each other. For lines to exist in two dimensions or in the same plane, they can either be intersecting or parallel. As this property does not apply to skew lines, hence, they will always be non-coplanar and exist in three or more dimensions.

Skew Lines Example

In real life, we can have different types of roads such as highways and overpasses in a city. These roads are considered to be on different planes. Lines drawn on such roads will never intersect and are not parallel to each other thus, forming skew lines.

Skew Lines in 3D

Skew lines will always exist in 3D space as these lines are necessarily non-coplanar.

In the figure given below 'a' and 'b' are skew lines.

Therefore, skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar.

To learn more about skew lines visit:

https://brainly.com/question/2603508.

#SPJ2

Answer:

O D. Lines that do not intersect and are in the same plane

Step-by-step explanation:

Credit to person above for explaining,

Hope it helps!

Answer:

8

Step-by-step explanation:

Answer is 8

Side of square = Radius of circle = 4cm

Area of full circle

= πr²

= (22/7) × 4cm × 4cm

= 352/7 cm²

Area of the quarter of circle

= Area of full circle/4

= (352/7)/4

= (352/7) × (1/4)

= 352/28

= 12.571 {approximately}

Answer:

The total cost is:$400

Step-by-step explanation:

Given

[tex]x \to units[/tex]

[tex]y \to cost[/tex]

[tex](x,y) = (0,200)[/tex] --- when the graph intersects the y-axis

[tex]m = 10[/tex] -- the rate

Required

y when x = 20

First, we determine the equation of the plot using:

[tex]y = mx + c[/tex]

Substitute 10 for m

[tex]y = 10x + c[/tex]

Next, solve for c.

Substitute [tex](x,y) = (0,200)[/tex]

[tex]200 = 10*0+c[/tex]

[tex]200 = 0+c[/tex]

[tex]c = 200[/tex]

So:

[tex]y = 10x + c[/tex]

[tex]y =10x + 200[/tex]

When x = 20

[tex]y =10*20 + 200[/tex]

[tex]y =200 + 200[/tex]

[tex]y = 400[/tex]

Answer:

4

Step-by-step explanation:

Answer:

gradient = 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

y = 4x - 7 ← is in slope- intercept form

with gradient m = 4

Answer:

3*x + y = 25

Step-by-step explanation:

Here we have the sentence:

"three times a number (let's call it x) added to another number (let's call it y) gives 25"

We can write this as:

3*x  (3 times the first number)

+  y  (added to another number)

= 25  (gives 25)

Writing this as an equation, we get:

3*x + y = 25

This is the equation we wanted.

Answer:

(a) [tex]\frac{1}{7}[/tex]

(b) [tex]\frac{4}{7}[/tex]

(c) [tex]\frac{5}{7}[/tex]

Step-by-step explanation:

Probability (P) of an event is the likelihood that the event will occur. It is given by;

P = number of favourable outcomes ÷ total number of events in the sample space.

Given letters of cards:

A B C D E F G H J

∴ Total number of events in sample space is actually the number of cards which is 7

If a card is picked at random;

(a) the probability P(F), that it is labelled F is given by;

P(F) = number of favourable outcomes ÷ total number of events in the sample space.

The number of favourable outcomes for picking an F = 1 since there is only one card labelled with F.

∴ P(F) = 1 ÷ 7

=> P(F) = [tex]\frac{1}{7}[/tex]

(b) the probability P(N), that it is labelled with a letter in her name JADE is given by;

P(N) = P(J) + P(A) + P(D) + P(E)

Where;

P(J) = Probability that it is labelled J

P(A) = Probability that it is labelled A

P(D) = Probability that it is labelled D

P(E) = Probability that it is labelled E

P(J) = [tex]\frac{1}{7}[/tex]

P(A) = [tex]\frac{1}{7}[/tex]

P(D) = [tex]\frac{1}{7}[/tex]

P(E) = [tex]\frac{1}{7}[/tex]

∴ P(N) = [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex]

∴ P(N) = [tex]\frac{4}{7}[/tex]

(c) the probability P(S), that it is labelled with a letter that has at least one line of symmetry is;

P(S) = P(A) + P(B) + P(C) + P(D) + P(E) + P(H)

Where;

P(A) = Probability that it is labelled A

P(B) = Probability that it is labelled B

P(C) = Probability that it is labelled C

P(D) = Probability that it is labelled D

P(E) = Probability that it is labelled E

P(H) = Probability that it is labelled H

Cards with letters A, B, C, D, E and H are selected because these letters have at least one line of symmetry. A line of symmetry is a line that cuts an object into two identical halves. Letters A, B, C, D, E and H can each be cut into two identical halves.

P(A) = [tex]\frac{1}{7}[/tex]

P(B) = [tex]\frac{1}{7}[/tex]

P(C) = [tex]\frac{1}{7}[/tex]

P(D) = [tex]\frac{1}{7}[/tex]

P(E) = [tex]\frac{1}{7}[/tex]

P(H) = [tex]\frac{1}{7}[/tex]

∴ P(S) = [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex] + [tex]\frac{1}{7}[/tex]

∴ P(S) = [tex]\frac{5}{7}[/tex]

Answer:

98

Step-by-step explanation:

An average score can be calculated by finding the sum of all scores and then dividing by the number of tests. So we can create an equation like this:

[tex]\frac{(92+86+83+90+91+x)}{6}=90[/tex]

The numerator is the sum of her scores, where x represents the score of her next test (which is what we're trying to find).

The denominator is the total number of tests, which is 6 - this includes the 5 she has taken already and the next test that she hasn't taken yet.

Furthermore, we know all of this has to equal 90 because that's the average we're looking for.

Now we just solve for x.

Step 1) Multiply by 6:

[tex]92+86+83+90+91+x=90 \times 6[/tex]

Step 2) Simplify equation:

[tex]442+x=540[/tex]

Step 3) Subtract 442:

[tex]x=540-442=98[/tex]

Therefore, x = 98, so Danielle must achieve a score of 98 to have an overall class average of 90.

Answer:

f(2) = 0 and g(2) = 0

f(2) = g(2) TRUE

b) f(0) = 2 and g(0) = -2

f(0) = g(0) FALSE

c) f(2) = 0 and g(0) = -2

f(2) = g(0) FALSE

d) f(0) = 2 and g(2) = 0

f(0) = g(2) FALSE

Answer:

4³

4*4*4

64#

Step-by-step explanation:

hope you like it

diện tích bề mặt của hình lập phương sẽ là (4 cm)2 = 16 cm2.

Answer:

2 eighths.

Step-by-step explanation:

Answer:

2 eighths

Step-by-step explanation:

1/8 + 1/8 = 2/8 or 1/4

Answer:

AB = A'B'

BC = B'C'

AC = A'C'

angle ABC = angle A'B'C'

angle CAB = angle C'A'B'

angle CBA = angle C'A'B'

Step-by-step explanation:

use different axomes to show relation,

Answer: Reflect ABC across the vertical line passing through C

Step-by-step explanation:

Answer:

time = 4.4 s

horizontal distance = 488.8 m

Step-by-step explanation:

Height, h = 4 ft

Angle, A = 32 degree above X axis

velocity, u = 131 ft/s

Let the time taken is t.

Use second equation of motion

[tex]h = u t + 0.5 gt^2\\\\- 4 = 131 sin 32 t - 16 t^2\\\\16t^2 - 69.4t - 4 = 0\\\\t=\frac{69.4\pm \sqrt{4816.36 +256}}{32}\\\\t = \frac{69.4\pm71.2}{32}\\\\t = - 0.05625 s, 4.4 s[/tex]

So, time is 4.4 s.

The horizontal distance is

d = u cos A t

d = 131 cos 32 x 4.4 = 488.8 m

Answer:

Your answer would be X ≥ -3

Step-by-step explanation:

Answer:

ano po di ko naiintindihan

Answer:

If any number ends with the digit 0 or 5, it is always divisible by 5. If 12n ends with the digit zero it must be divisible by 5. This is possible only if prime factorisation of 12n contains the prime number 5.

Step-by-step explanation:

Answer:

b. no, because one x-value corrseponds to two different y-values

Step-by-step explanation:

for a set/table to be a function, the each x-value must correspond to exactly one value, not more, therefore the set of points in this table do not represent a function as the x-value 6 corresponds to more than one number.

Answer:

80

Step-by-step explanation:

Area of a square is LxL where L is the length of the side

so 6400 = LxL

L = 80

Answer:

19 1/2??? Read explanation

Step-by-step explanation:

I am not sure entirely by your formatting when you put it into Brainly but since 5x4=20 and 20-1/2 = 19 1/2, the answer would be 19 1/2 but I am not sure due to the format.

Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest"). And if it’s not correct, I am sorry for wasting your time, and good luck finding the correct answer :)  

Answer:

18

20 -2 = 18

Step-by-step explanation:

Answer:

Step-by-step explanation:

(3). 1 g ≈ 0.035274 oz

675 g ≈ 23.8 oz

(4). 1 cup ≈ 236.588 ml

[tex]\frac{1}{3}[/tex] cup ≈ 78.86 ml

(5). 1 L ≈ 0.22 gal.

150 L ≈ 33.0 gal.

(6). 1 cm ≈ 0.3937 inch

1 cm² ≈ 0.155 inch²

2.5 cm² ≈ 0.3875 inch²

Answer: a

Step-by-step explanation:

its the first one

Answer:

the first one is A and the second one is B

Step-by-step explanation:

im doing the assignment right now

Answer:

Step-by-step explanation:

It’s 2.3 times more likey

Answer: x=5

1/5x= 4/3-1/3  

1/5x=1

x= 1:1/5

x=5

Answer:

X=5

Step-by-step explanation:

Answer:

x:x = 1 so it is a natural number

Step-by-step explanation:

it can be any negative number because: -x<9

and any number from 1 to 8

(x cannot be 0, because you cannot do 0/0 = 1)

Answer:

Step-by-step explanation:

Hello

2,3,4 5

red, blue , red , blue

A

Answer:

2

Step-by-step explanation:

In an order pair

(x,y)

The first number is the input and the second number is the output

(2,3) 2 is the input and 3 is the output

Answer:

I'd say that a is 6 2/3 units long

Step-by-step explanation:

Answer:

it's 5 sides

Step-by-step explanation:

I hope this helps

Answer:

5 sides

Step-by-step explanation:

12.5÷2.5=5

therefore the answer is 5