500 Rounded to the ones place. (whole number)

Applying the sine ratio and the Pythagorean theorem, the adjecent length to angle β is: A. 16.7 cm.

The sine ratio is given as, sin ∅ = opposite/hypotenuse.

Given the following in a right triangle:

Find the opposite side by applying the sine ratio:

0.292 = opp/17.5

Opposite = (0.292)(17.5)

Opposite = 5.11

Using the Pythagorean theorem, we have:

Adjacent length = √(17.5² - 5.11²)

Adjacent length = 16.7 cm.

Thus, applying the sine ratio and the Pythagorean theorem, the adjecent length to angle β is: A. 16.7 cm.

Learn more about the sine ratio on:

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Answer:

35 miles

Step-by-step explanation:

Let's say Fritz travels at x miles per hour via train and y miles per hour via car.

(speed of car) + 80 miles per hour = speed of train

y + 80 = x

Speed * time = distance

Speed of train * time of train = distance = speed of car * time of car

x * 15 minutes = y * 35 minutes

convert minutes to hours since miles per hour is in terms of hours

60 minutes = 1 hour

15 minutes = ? hours

multiply 15 minutes by 1 hour/60 minutes. since 60 minutes = 1 hour, we can divide both sides by 60 minutes to get 1 hour/60 minutes = 1. we can always multiply by 1, so we do that here. note that the minutes are in the denominator so the 15 minutes cross out with the 60 minutes, leaving us with only hours as our unit.

15 minutes = 15 minutes * 1 = 15 minutes * 1 hour/60 minutes = 15/60 hours = 3/12 hours

similarly, 35 minutes * 1 hour/60 minutes = 35/60 hours = 7/12 hours

x * 15 minutes = y * 35 minutes

x * 3/12 hours = y * 7/12 hours

plug y+80 in for x

(y+80) * 3/12 hours = y * 7/12 hours

(3/12) * y + 20 = (7/12) * y

subtract (3/12) * y from both sides to isolate the variable (y) and its coefficient

20 = (4/12) * y

multiply both sides by 12/4 (the inverse of the coefficient) to get rid of the coefficient

20*12/4 = y = 60

y = 60 miles per hour

x = y + 80 = 140 miles per hour

distance = x * 3/12 hours = 140 miles/hour * 3/12 hours= 35 miles

Answer:

2

Step-by-step explanation:

mode of a dot plot is the value that appears most often in a set of data

Answer:

2 is the mode of this data

The simplified expression of the provided equation in standard form is -2p²-11p-35. Option 1 is the correct option.

Simplified form of an expression is the simplest way of expression the term, by applying the required operations of mathematics.

The expression which is need to be simplified is,

[tex]-2(p +4)^2 - 3 +5p[/tex]

First of all, open the brackets, using the formula of whole square,

[tex]-2(p^2 +16+8p) - 3 +5p\\-2p^2-32-16p-3+5p\\-2p^2-11p-35[/tex]

Hence, the simplified expression of the provided equation in standard form is -2p²-11p-35. Option 1 is the correct option.

Learn more about the simplified form here;

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Answer: A

Step-by-step explanation:

I did it on edge

Answer:

7

Step-by-step explanation:

42 divided by 6 = 7 packages

[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]

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1.

[tex]kx^{2} + kx + \frac{25}{4}[/tex]

All you need to do is factor out [tex] \frac{1}{4}[/tex]

=[tex] \frac{4kx^{2 +} + 4kx + 25 } {4} [/tex]

if you evaluate it it will become

[tex]kx^{2} + kx + \frac{25}{4} [/tex]

────────────────────

2.

[tex] \frac{3y² + 1}{4} - \frac{y}{2} = 6[/tex]

[tex]3y² + 1 - 2y = 24[/tex]

[tex]3y² - 23 - 2y = 0[/tex]

[tex]3y² - 2y - 23 = 0[/tex]

[tex]y=\frac{-\left(-2\right)±\sqrt{\left(-2\right)^{2}-4\times 3\left(-23\right)}}{2\times 3} [/tex]

[tex]y=\frac{-\left(-2\right)±\sqrt{4-4\times 3\left(-23\right)}}{2\times 3} [/tex]

[tex]y=\frac{-\left(-2\right)±\sqrt{4-12\left(-23\right)}}{2\times 3} [/tex]

[tex]y=\frac{-\left(-2\right)±\sqrt{4+276}}{2\times 3} [/tex]

[tex]y=\frac{-\left(-2\right)±\sqrt{280}}{2\times 3}[/tex]

[tex]y=\frac{-\left(-2\right)±2\sqrt{70}}{2\times 3}[/tex]

[tex]y=\frac{2±2\sqrt{70}}{6}[/tex]

[tex]y=\frac{2\sqrt{70}+2}{6}[/tex]

[tex]y=\frac{\sqrt{70}+1}{3}[/tex]

[tex]y=\frac{2-2\sqrt{70}}{6}[/tex]

[tex]y=\frac{1-\sqrt{70}}{3}[/tex]

[tex]y=\frac{\sqrt{70}+1}{3}[/tex]

So the answer is

[tex]y=\frac{\sqrt{70}+1}{3}[/tex]

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Explanation:

#Carry on learning

Answer:

$2.3

Step-by-step explanation:

they bought hot dogs for $6.35

and french fries for. $3.90. +

they got two mugs of tea $1.40

the tax fee. $1.05

=$12.7

:.,total amount $15.00-$12.7=$2.3 remaining

Answer:

its 1/7 because if you have a pizza and you cut it in 3 pieces, it will be bigger than a pizza cut in 4 pieces.

So basically if you buy a pizza and you were originally going to cut it in 3 pieces, but then one of your other friend wants a piece, so now you will have to cut it into 4 pieces which will give you a smaller piece and the same way cutting a pizza into 7 pieces will make it way smaller

so its D

but if you are asking from another point of view than I guess it A

Step-by-step explanation:

Please can I have brainliest

Answer:

For number 3 it going to be

13.3 mm 16 mm 20.5 mm V = mm 3

And S.A. = A mm? %3D

For number 2 it going to be V= 955.04 sq. yd

TOTAL 428.04 sq.yd

Step-by-step explanation:

Sorry i couldnt do the others but hope this helps with some of the answers

i only did No(2) and No(3)

Answer:

9.6in

Step-by-step explanation:

I took the test on USATestPrep

Answer:

x = 39.6

Step-by-step explanation:

[tex]cos49 = \frac{26}{x} \\ \\ x = 39.6[/tex]

Answer:

D

Step-by-step explanation:

Additive Inverse Property is the idea that you are adding the same number but positives and negatives of it. So, the correct answer is D.

Hope that helps!

Answer:

A: y= -3/2x+2

B: y= -1/2x-2

Step-by-step explanation:

slope intercept form

y=mx+b

Answer:

210.6cm^2

Step-by-step explanation:

1) In the diagram below the shape of the rectangular prism is shown:

where L=7.2, W= 9 and H=4.5

In order to cover only the sides, the area of the front and back faces and the side faces should be added, the top and bottom faces should not be

so the area of front and back faces= 2 (length *width) (multiply by 2 to account for both the front and back face, instead of just one face)

=2(7.2)(9)= 129.6 cm^2

area of side faces: 2(W)(H)=2*9*4.5=81cm^2

129.6cm^2+81cm^2=210.6 cm^2

Answer:

y=2x+4

Step-by-step explanation:

**Your line isn't clearly shown on point with the grid**

If you want this in the slope-intercept form then here it is:

Slope-intercept formula: y=mx+b

Your coordinates: (-3,2) and (1,10)

To find the slope (which is the "m" in the formula) you need to do this formula:

y2 - y1 / x2 - x1 =

(The 2's and 1's should be subscript)

10-2/1-(-3) = 8/4

8/4=2

The slope should be 2

Formula right now: y=2x+b

You need to find the y-intercept:

That should be a point on the y-axis.

(0,n) **N is used for a variable since we don't have a number yet.

In your coordinate plane, (0,4) is your y-intercept.

When writing the y-intercept in the formula don't write a coordinate write the "y"

Formula: y=2x+4

Answer:

Start with 1st one

Step-by-step explanation:

1-1st one

2-3rd one

3-7th one

4-2nd one

5-6th one

6-4th one

7-5th one

8-8th one

Answer: u said 50

Step-by-step explanation: acd

Answer: both median and mean

Step-by-step explanation:

Answer:

C Both the mean and median are appropriate measures of center.

Step-by-step explanation:

The given equation 3(x+10)+6=3(x+12) has infinitely many solutions.

We have the following expression

[tex]3(x+10)+6=3(x+12)[/tex]

We must rewrite both sides of the equation.

For this, we use the distributive property.

A (B + C) = AB + AC

We have then

3(x+10)+6=3(x+12)

Adding like terms we have

3x+30+6=3x+36

3x+36=3x+36

We observe that we have two equal equations.

Therefore, the equations intersect for any value of x.

Therefore, the equation has infinite solutions.

infinitely many solutions.

To learn more about the solution of the equation visit:

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Answer:

What is the distributive property?

A (B + C) = AB + AC

We have then

3(x+10)+6=3(x+12)

Adding like terms we have

3x+30+6=3x+36

3x+36=3x+36

We observe that we have two equal equations.

Therefore, the equations intersect for any value of x.

Therefore, the equation has infinite solutions.

infinitely many solutions.

Step-by-step explanation:

Answer:

Find the cube's volume first (because it's the simplest figure) by using the formula;

(Formula for vol. of cube)

V = [tex]s^{3}[/tex]

Where 's' stands for one side of the cube raised to the power of three.

or

V = w · l · h

Where 'w' stands for the width, 'l' stands for the length, and 'h' stands for the height.

Plug in the values you know since they literally give it to you (I'll be using the formula [tex]s^{3}[/tex]);

V = [tex]s^{3}[/tex]

V = 3^3 → (The symbol ' ^ ' means to the power of.)

V = 27, is the volume of the cube.

Now we find the volume of the pyramid using the formula;

(Formula for vol. of pyramid)

V = (l · w · h) · 1/3

Where 'l' means the length, 'w' the width, and 'h' the height whereas the 1/3 is just dividing the product of those three by 3.

Plug in the values you know using both the lengths from the cube and pyramid.

Length = 3

Width = 3

Height = 3(we won't use)

Height = 4

Use these to figure out the volume for the pyramid.

V = (l · w · h) · 1/3

V = (3 · 3 · 4) · 1/3

V = 36 · 1/3

V = 36/3

V = 12, is the volume of the pyramid.

Add your volumes:-

27(cube vol.) + 12(pyramid vol.)

= 39 is the volume for this whole solid, your answer is D.

Answer:

y=300-7x

Step-by-step explanation:

since monthly budget for gasoline=$300

Per day, he uses an average of $7 of gasoline

after x days he will use $7x of gasoline.

remaining amount after x days of driving= 300-7x

the equation will be y= 300-7x

Answer:

Step-by-step explanation:

I just came to the realization that your probably cheating. Don't cheat, it doesn't help you now or in the long run. Nevertheless, I have already outlined the method like three times. So, at the very least, attempt this question hoenstly.

Answer:

V = 167.55 rounding would be v=168

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

$30 dollars is the principal.

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%.

2,700 yan po ang answer hehe tama yan

Answer:

10 inches

Step-by-step explanation:

Hope it helps ......

Answer:

Step-by-step explanation:

answer is given above..........