A 1/2 cup serving of ice cream contains 140 calories. How many calories would be in a 1 1/2 cup serving?

The height of the ramp is 49.45in

Data;

To solve this problem, we can use trigonometric ratio SOHCAHTOA

Since we have the value of the angle and length of the ramp, this can be illustrated as hypotenuse and angle between the hypotenuse and opposite of the right-angle triangle.

From the information above, we have angle and hypothenuse but we need to solve for the opposite of the right-angle triangle. The sine angle can solve this problem.

[tex]sin \theta = \frac{opposite}{hypothenuse} \\sin 22 = \frac{x}{132} \\x = 132 sin 22\\x = 49.45 in[/tex]

The height of the ramp is 49.45in

Learn more on trigonometric ratios here;

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Answer:

D.) Max started at a height of 30 meters and is ascending at 10 meters per hour.

Step-by-step explanation:

This equation y = 10x + 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking

Max started at the height of 30 meters and is ascending at a rate of 10 meters per hour. Then the correct option is A.

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

The equation is y = 10x + 30.

Where y is Max's elevation in meters and x is the number of hours.

Max has been hiking.

From the equation, we can conclude.

Max is ascending at a rate of 10 meters per hour.

Max is at the height of 30 meters at the starting.

Thus, option A is correct.

More about the linear system link is given below.

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Answer:

The answer is 48p^3 - 24p^2 + 24p - 48

Answer:

i think this is the correct answer

Step-by-step explanation:

Simplifying

8x + -7y = 23

Solving

8x + -7y = 23

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7y' to each side of the equation.

8x + -7y + 7y = 23 + 7y

Combine like terms: -7y + 7y = 0

8x + 0 = 23 + 7y

8x = 23 + 7y

Divide each side by '8'.

x = 2.875 + 0.875y

Simplifying

x = 2.875 + 0.875y

Answer:

they are right

Step-by-step explanation:

Answer:

(g+f)(-1)=2

Step-by-step explanation:

f(x)x²+1

g(x)=x+1

(g+f)(x)= x+1+x²+1

(g+f)(-1)=(-1)+1(-1)²+1

(g+f)(-1)=(-1)+1+(-1)²+1

(g+f)(-1)=2

Hope this helps u! :)

Answer: 60 degrees

Step-by-step explanation:

add 90 50 and 100

= 240

Total of all interior angles should be 360

So 360-240=120

Straight line: 180 degrees

180-120=60

Answer:

B) 29 +4a

Step-by-step explanation:

for this question we need to expand the brackets. to do this you would times everything in the brackets separately by 4, 4 times a which is 4a and 4 times 5 which is 20.

this would creat a sum of 9+4a+20

now we can add together the like terms which in this case are 20 and 9 making the whole sum 29 +4a

this is how you expand the brackets.

deserving of a brainliest?

Answer: B) 29+4a

Step-by-step explanation:

Distribute the parentheses first as multiplication comes before addition:

9+4(a+5)

9+4a+20

Add 9 and 20:

29+4a

Answer:

C-7.9

Step-by-step explanation:

Because the square root is actually 7.93

Answer:

C. 7.9

Step-by-step explanation:

Do the square root of 63.

[tex]\sqrt{63} = 7.93725[/tex]

Your answer isn't perfect, but it's asking for which number is the closest to the [tex]\sqrt{63}[/tex].

[tex]\sqrt{63}[/tex] ≈ [tex]7.9[/tex]

Answer:

x=2

Step-by-step explanation:

8x4=32

-x x8=-8x

32-8x=7x+2

+8x on both sides

32=15x+2

32-2=30

30=15x

divided by 2

2=x

Answer:

2[tex]\frac{4}{15}[/tex]

Step-by-step explanation:

First factor our the (4-x):  (8*4)(8*x)
Then we have 36 - 8x = 7x + 2

Isolate the x:

32 -2 = 8x + 7x

Simplify both sides:

30 = 15x

Divide both sides by 15

[tex]\frac{30}{15}[/tex] = [tex]\frac{15x}{15}[/tex]

Simplify further if necessary:

x = 2

Answer:

x=-1, y=1

Step-by-step explanation:

x-2y=-3
multiply both all terms by -2
-2x+4y=6
-2x+4y+2x-3y=6-5
simplify to get y=1
replace y with 1 in the original equation of your choice and solve for x
x-2(1)=-3
x-2=-3
x=-1

Answer:

Market (3, 8)

Park (2, 5)

Lily's house (4, 3)

School (7, 6)

Step-by-step explanation:

E2023

Answer:

see attached diagram

market = (3, 8)

Step-by-step explanation:

Park = (2, 5)

Find the number 2 on the x-axis, then count up 5 units

Park = (2, 5)

x-coordinate:  1 unit to the right = 2 + 1 = 3

y-coordinate: 3 units up = 5 + 3 = 8

Therefore, market = (3, 8)

Answer:

A

Step-by-step explanation:

When a slope is undefined, it is always x = ?

The point (-5, -8) tells us that x = -5

Option A also has a point with x = -5

Answer:

  9x + 30 ≤ 22

Step-by-step explanation:

Let x be "a number."

"the sum of a number times 9" is 9x +

"and 30"                                          9x + 30

"is at most 22"                                 9x + 30 ≤ 22

For an apartment, the scale factor of the map is 1/60 and the kitchen's actual width of the is 12 ft wide.

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

The balcony of an apartment is 4 feet wide by 7 feet long. On a scale drawing of the apartment, the balcony is 0. 8 inches wide by 1. 4 inches long.

The actual length of the balcony is 7 feet or 84 in (1 ft = 12in), and on scale the length of the balcony is 1.4 in. Thus, the scale factor is,

[tex]r=\dfrac{1.4}{84}\\r=\dfrac{1}{60}[/tex]

Thus, the scale factor is 1/60.

The length of the kitchen is 2.8 in on map. Let L is the actual length of the kitchen. Therefore,

[tex]r=\dfrac{2.8}{L}\\\dfrac{1}{60}=\dfrac{2.8}{L}\\L=168\rm in\\L=14\rm ft[/tex]

The width of the kitchen is 2.4 in on map. Let W is the actual width of the kitchen. Therefore,

[tex]r=\dfrac{2.4}{W}\\\dfrac{1}{60}=\dfrac{2.4}{W}\\W=144\rm in\\W=12\rm ft[/tex]

Thus, For an apartment, the scale factor of the map is 1/60 and the kitchen's actual width of the is 12 ft wide.

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Answer:its 12 feet i just took the quiz

Step-by-step explanation:

Answer: It's B, great job!

Step-by-step explanation: An acute angle measures less than 90 degrees. 60,65, and 55 are all under 90.

Answer:

5 cups of flour needed to make 60 cookies.

Step-by-step explanation:

24 cookies → 2 cups of flour

1 cookies → (2/24) cups of flour

60 cookies → [(2/24)*60 ] cups of flour

60 cookies → 5 cups of flour needed

Answer:

5 cups

Step-by-step explanation:

If 2 cups makes 24 cookies, then 1 cup makes 12 cookies. Since 12 times five is 60, 1 cup of flour filled five times makes 60 cookies so you will need 5 cups of flour.

Answer: y = 8x

Step-by-step explanation:

y = 8x

Answer:

The answer is 0.33 <3

Step-by-step explanation:

i put this here so its easier to see that answer then the steps :)! Try gauth math, its a great app! Just take a picture of a question and a expert will give you the right answer, and explanation.

Have a blessed week! :)

The area of shaded region = area of triangle - area of circle = 33.73 sq. m.

Area of circle = πr²

Area of triangle = 1/2(base × height)

The area of the shaded region = area of triangle - area of circle

=  1/2(14 × 12) - π × 4²

Area of shaded region = 84 - 50.27

Area of shaded region = area of triangle - area of circle = 33.73 sq. m

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Answer:

the answer for B M Y is 40

Step-by-step explanation

Part B answer to X M Y is 85

no it can not be simplified and

Answer: there are 64 buttons because 8*8=64

Answer: 1/2

Step-by-step explanation: Never fear the great answerer is here!

Answer:

I think it's 8 or 1/2. not completely sure.

[tex]\bold{\huge{\blue{\underline{ Solution }}}}[/tex]

Here, We have,

[tex]\sf{√(a-b-c)(b-c-d)=√ab-√bc-√cd}[/tex]

From above, We can conclude that,

a = bk, b = ck, c = dk

a = dk³ , b = dk² , c = dk

By solving RHS :-

[tex]\sf{√(a - b - c)(b-c-d) }[/tex]

[tex]\sf{√(dk³ - dk² - dk) (dk² - dk - d) }[/tex]

[tex]\sf{√d(k³- k² - k) d(k² - k - 1)}[/tex]

[tex]\sf{d√(k³- k² - k) d(k² - k - 1)}[/tex]

[tex]\sf{d√k(k²- k - 1)(k² - k - 1)}[/tex]

[tex]\sf{d(k²- k - 1)√k ...eq(1)}[/tex]

By solving LHS :-

[tex]\sf{√ab - √bc - √cd}[/tex]

[tex]\sf{√dk³(dk²) - √dk²(dk)-√dk(d)}[/tex]

[tex]\sf{√d²k^5 - √ d²k³ - √d²k}[/tex]

[tex]\sf{dk²√k - dk√k - d√k}[/tex]

[tex]\sf{(dk² - dk - d)√k}[/tex]

[tex]\sf{d(k²- k - 1)√k...eq(2)}[/tex]

From eq(1) and eq(2)

[tex]\bold{\red{ LHS = RHS }}[/tex]

That is,

[tex]\sf{√(a-b-c)(b-c-d)=√ab-√bc-√cd}[/tex]

Yes, the RHS and the LHS are equal/

Given:

[tex]a/b= b/c = c/d[/tex]

We have to prove that √(a - b - c)(b-c-d) = √ab-√bc-√cd

Hence, after we expand the brackets and evaluate, we see that:

After the evaluation of the RHS and LHS, we can see that

RHS= LHS .

Read more about maths expressions here:

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Answer:

  10.3 cm

Step-by-step explanation:

There are a few ways to do this.

Using the law of cosines, you have ...

  b² = a² +c² -2ac·cos(B)

  b² = 11² +11² -2(11)(11)·cos(56°) = 106.67

  b = √106.675 ≈ 10.3

  AC = 10.3 cm

__

Using trig functions. When you draw an altitude in this isosceles triangle from B to AC, it divides AC in half, and it divides angle B in half. The sine relation can help here:

  Sin = Opposite/Adjacent

  sin(56°/2) = (AC/2)/(11 cm)

  AC = (22 cm)sin(28°) ≈ 10.3 cm

__

Using a triangle solver, you can find the value of AC to be about 10.3 cm. Triangle solvers are available as apps and on the web. Your graphing calculator may have one. See attached for the results from a nice solver available on the web. Units are cm.

Answer:

y=4x+1

for x=3

y=4(3)+1

y=12+1

y=13

for x=6

y=4(6)+1

y=24+1

y=25

for x=8

y=4(8)+1

y=32+1

y=33

for x=10

y=4x+1

y=4(10)+1

y=40+1

y=41

x y

3 13

6 25

8 33

10 41

please pick me brainliest.

I HOPE IT HELPED