b) Write 25 x 10° in standard form.

Answer: 18

Step-by-step explanation:

Area of triangle = (0.5) × base(b) × height(h)

Base of triangle = 8

Height of triangle = 15

Area of triangle = (0.5) × 8 × 15 = 60

Volume of triangular prism = B × height

Where h = height

B = area of triangle

Volume of triangular prism = 1080

Find the height(h) of the triangular prism

Volume of triangular prism = B × height

1080 = 60 × h

h = 1080 / 60

h = 18

Answer:

Opposite numbers are numbers that, when placed on a number line, are the exact same distance away from the 0, but on opposite sides/opposite directions

Answer:

Opposite number or additive inverse of any number (n) is a number which, if added to n, results in 0, the identity element of addition. The opposite number for n is written as −n. For example, −7 is opposite to 7, because with −7+7=0

You can say that the opposite number of a number, is the negative version of the positive number. This is what the opposite of 7 is or the opposite of -7.

Answer:

That isn’t possible

Step-by-step explanation:

Answer:

thank you for giving me points ;)

Step-by-step explanation:

So the right answer is of option B.

Look at the attached picture

Hope it will be helpful to you..

Good luck for your test...

Answer:

4x +2y

Step-by-step explanation:

4x-3(x-2y)+ .5(6x-8y)

Distribute

4x -3x+6y +3x -4y

Combine like terms

4x-3x+3x  +6y-4y

4x +2y

Answer:

Image of the point (-4, -10) after reflection will be (-4, 10).

Step-by-step explanation:

Point N(7, 8) when reflected across x-axis, coordinates of the image point become N'(7, -8).

Rule for the reflection over the x-axis is

(x, y) → (x, -y)

Under the same reflection or following the same rule rule,

(-4, -10) → (-4, +10)

Therefore, image of the point (-4, -10) after reflection will be (-4, 10)

Step-by-step explanation:

surface area = (2*0.5*12*8) + (2*10*10) + (12*10)

= 96 + 200 + 120

= 416 cm^2

Answer: m<B = 66.42

Step-by-step explanation:

Use cosine to find the missing angle.

Cosine = adjacent/hypotenuse

cos x = 2/5

since you know the side lengths and you’re finding the angle, use inverse cosine

cos -1 (2/5) = 66.4218215...

m<B = 66.42

Hey there!

We are looking for an angle. Whenever we want to look for an angle in a right triangle given two sides, we use inverse trigonometric functions. This is basically the inverse operation of the sine, cosine, and tangent. You could use it to undo any of these in an equation. If you said that the sine of x was equal to 1/2, you would do the inverse sine of 1/2 and get that x=30.

In our case, we see that the cosine of our angle is 2/5. How do we know that?

Well, we can remember the trigonometric functions using the mnemonic "soh cah toa"

SOH

Sine= Opposite/Hypotenuse

CAH

Cosine= Adjacent/Hypotenuse

TOA

Tangent= Opposite/Adjacent

If we look at the number values we have, we have 2 (the adjacent side to the angle) and 5 (the hypotenuse). This is adjacent over hypotenuse, which is the cosine. So, the cosine of our angle is 2/5.

Now, we can put this into an equation. I will call the measure of our mystery angle Θ (theta).

cosΘ= 2/5

We want to get the theta by itself to solve the equation. To do this, we have to use the inverse cosine on both sides of the equation to cancel out our cosine and figure out the value of theta. The inverse trig functions can be found on a calculator :)

cos[tex]^-1[/tex]cosΘ=cos[tex]^-1[/tex] 2/5

Θ ≈ 66.42

I hope that this helps! Now you will be able to find any angle given two sides of a right triangle! Have a wonderful day!

Step-by-step explanation:

We have, Sorin hits a cricket ball straight up into the air. After 1.5 s, the ball is falling straight down with a speed of 6.5 m/s.

We want to find the initial vertical velocity of the ball.

The relation between initial speed, final speed, acceleration and time is given by using first equation of kinematics. Let v₀ is the initial speed. So,

[tex]v=v_o +at[/tex]

Here, v = -6.5 m/s, t = 1.5 s and a = -g

[tex]v_o=v-at\\\\v_o=v+gt\\\\v_o=-6.5+9.8\times 1.5\\\\v_o=8.2\ m/s[/tex]

So, the initial velocity of the ball is 8.2 m/s and the formula used is (1).

Answer:

Step-by-step explanation:

a+b=191

a-b=63

i sum these

a+b+a-b=191+63

2a=254

a=254/2

a=127

b=191-127

b=64

Answer:

127 and 64

Step-by-step explanation:

To solve this, we can set up a system of equations.

We can name the first number x and the second number y.

x+y=191

x-y=63

We can use elimination to eliminate the y variable.

We do this by adding the equations together

  x+y=191

+ x-y=63

_________

2x=254

Divide both sides by 2.

x=127

Now we can plug that in to find y.

x+y=191

127+y=191

Subtract 127 from both sides.

y=64

So our two numbers are 127 and 64.

Answer:

the answer in decimal form is 21.009

Answer:

= 21.009

Step-by-step explanation:

First change it to an improper fraction

= 1000 x 21 + 9

= 21009/ 1000

You then divide it by 1000 without leaving a remainder.

= 21.009

Answer:

Volume of the prism = 1950unit³ (C)

Step-by-step explanation:

The question is incomplete without the diagram of the oblique prism and its dimension.

Find attached the diagram used in solving the question.

The prism has a rectangular base:

width= 10 units

length = 13 units

The distance between the top and the bottom base = 17 units.

Volume of prism = Area of base × height

Area of base = area of rectangle = Length ×width

= 13× 10

Area of base = 130unit²

To get the height, we would apply Pythagoras theorem

Hypotenuse² = opposite² + adjacent ²

17² = h² + 8²

289 = h² + 64

h² = 289-64 = 225

h = √225

h = 15unit

Volume of the prism = 130 × 15

Volume of the prism = 1950unit³ = 1950 cubic units

Answer:

The answer is C which is 1950 on EDGE

Step-by-step explanation:

Answer:

23n +13

Step-by-step explanation:

5(5n+2)+(3-2n)

Distribute

25n + 10 +3 -2n

Combine like terms

25n -2n  + 10+3

23n +13

Answer:

[tex]23n + 13[/tex]

Step-by-step explanation:

[tex]5(5n + 2) + (3 - 2n) \\ 25n + 10 + 3 - 2n \\ 25n - 2n + 10 + 3 \\ = 23n + 13[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:1/8

Step-by-step explanation:

there are 8 slices and its asking for the probability of one number. so its 1 out of 8

Answer: 1/4

Step-by-step explanation:

3 and 6 are multiples of 3. There are 8 possible options, and 2 multiples of 3.

2/8 = 1/4

Answer: 25

Step-by-step explanation:

they are corresponding angles

Answer:

infinite

Step-by-step explanation:

no solution would be something like 8=4 because it is not true

Answer:

Infinite solutions

Step-by-step explanation:

Answer:

0,0

Step-by-step explanation:

Answer:

4/3 ft

Corrected question;

Francine has a piece of wood that is five 5/12 feet long she uses three 1/4 feet of the wood from a science project how much for just Francine have left.

Step-by-step explanation:

Given;

Francine has a piece of wood that is five 5/12 feet long.

Total amount of wood T = 5 × 5/12 ft = 25/12 ft

she uses three 1/4 feet of the wood from a science project.

Amount of wood Used U = 3 × 1/4 = 3/4 ft

The amount of wood left equals the total amount of wood minus the amount of wood used;

The amount of wood left L = T - U = 25/12 - 3/4

L = 25/12 - 9/12

L = 16/12

L = 4/3 ft

Answer:

area=250.12. perimeter=3380

Step-by-step explanation:

Answer:

-5/2

Step-by-step explanation:

-7-3/10-6 = -10/4 which equals -5/2

Answer:grjjrd

Step-by-step explanation:fdfgdjj

Answer:

No, Justin isn't correct

Step-by-step explanation:

Because Justin added everything even the money he spent, and when he spent the money meaning subtracting them, he should get $21.46.

($25.67+$37.85)-($19.99+$22.07)=$21.46

↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑

Money earned      Money spend     Money left

Answer:

E. 57 feet

Step-by-step explanation:

If you draw a rectangle and label the long side 5+2x, and the short side x, then that represents the rectangular floor.

The 2x is "twice the width".

The 5 added to the 2x is "5 feet longer than"

The x is the width of the room.

If the equation for the whole perimeter is 2(5+2x)+2x=166 <-(The perimeter)

                                     (Both of the long sides)^       ^(Both of the short sides)

Then we need to solve for x.

[tex]2(5+2x)+2x=166\\10+4x+2x=166\\10+6x=166\\6x=156\\x=26[/tex]

Next, we input the value we got into the equation 5+2x (The length of one side) and solve

[tex]5+2x\\5+2(26)\\5+52\\57[/tex]

So the length of the room is 57 feet.

Hope this helps!

Answer:

There were 76 childrens and 14 adults.

Step-by-step explanation:

Since the group has a total of 90 children and adults, then the sum of the number of adults with the number of children must be equal to 90 as shown below:

children + adults = 90

Since the total cost for their tickets was 548 then the number of children multiplied by the price of their ticket summed by the number of adults multiplied by the price of their ticket must be equal to that. We have:

5*children + 12*adults = 548

With these two equations we have a system of equations shown below:

children + adults = 90

5*children + 12*adults = 548

In order to solve this we will multiply the first equation by -5, and sum both equations we have:

-5*children - 5*adults = -450

5*children + 12*adults = 548

7*adults = 98

adults = 98/7 = 14

children + 14 = 90

children = 90 - 14 = 76

There were 76 childrens and 14 adults.

Answer:

30

Step-by-step explanation:

6 x 5 is 30.

Answer:

84

Step-by-step explanation:

One way to solve proportions is to cross multiply. If we name the unknown value x, then we can see that:

2x = 12(14)

2x = 168

x = 84

Another way to solve proportions is to ask, what number did you multiply the first numerator by to get the second numerator. In this case, what do you have to multiply 2 with to get 14. The answer is 7, so that means you must also multiply the first denominator by 7 to get the second denominator, or in this case, the unknown value. 12 x 7 = 84, so the missing number is 84.

Hope this helped! :)

Answer:

-2.8

Step-by-step explanation:

I solved it thats how

Answer:

(0, 8)

Step-by-step explanation:

i just got this question

Answer:

(-9,0)

Step-by-step explanation:

To find the x intercept, set y=0 and solve for x

f(x) = (x-8) (x+9)

0 = (x-8) (x+9)

Using the zero product property

x-8 =0    x+9=0

x=8    x=-9

(8,0)    (-9,0) are the x intercepts

Answer:

x=-3

Step-by-step explanation:

This is a vertical line, vertical lines have a slope of undefined

They are of the form

x = something

In this case x= -3