Lance, Rachael, and Jamie are playing catch. Lance throws the ball to Rachael, Rachael to Jamie, and Jamie back to Lance. The angle formed at Rachael's position measures 90°. The distance from Lance to Rachael is 45 feet, and the angle formed at Lance's position measures 55°. Lance is trying to determine the other measures created by their positions. Give each measurement rounded to the nearest thousandth of afoot. The angle formed at Jamie's position measures degrees.

Answer:

pay ($), y

Step-by-step explanation:

Well, in the number of hours you work determines your pay in this case. So, pay is dependent of the number of hours.

And, the dependent variable is usually represented by y in a x,y graph.

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.

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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:

2,700 yan po ang answer hehe tama yan

Answer:

Step-by-step explanation:

Answer:

10 inches

Step-by-step explanation:

Hope it helps ......

Answer:

x = 39.6

Step-by-step explanation:

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

Answer:

A: y= -3/2x+2

B: y= -1/2x-2

Step-by-step explanation:

slope intercept form

y=mx+b

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:

V = 167.55 rounding would be v=168

Step-by-step explanation:

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:

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:

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:

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

The number of arrangements of the books is an illustration of permutation

The books can be arranged in 5040 ways

The given parameters are:

The number of arrangements is calculated as:

Ways = nPr

Substitute the given values

Ways = ¹⁰P₄

Apply the permutation formula

Ways = 10!/(10 - 4)!

Evaluate the quotient

Ways = 5040

Hence, the books can be arranged in 5040 ways

Read more about permutation at:

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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

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

════════════════════

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]

════════════════════

Explanation:

#Carry on learning

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:

9.6in

Step-by-step explanation:

I took the test on USATestPrep

Using the vertex of the quadratic equation, it is found that his minimum height will be of 25.875 feet.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

In this problem, the equation is:

h(t) = 2t² - 5t + 29.

Hence the coefficients are a = 2 > 0, b = -5, c = 29, and the minimum height in feet is given by:

[tex]y_v = -\frac{(-5)^2 - 4(2)(29)}{4(2)} = 25.875[/tex]

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

Ben minimum height above the ground when climbing the tree would be 25.875 feet

An equation is an expression that shows the relationship between two or more variables and numbers.

Given that:

h(t) = 2t² - 5t + 29

The minimum height is at h'(t) = 0, hence:

h'(t) = 4t - 5

4t - 5 = 0

t = 5/4

h(5/4) = 2(5/4)² - 5(5/4) + 29 = 25.875 feet

Ben minimum height above the ground when climbing the tree would be 25.875 feet

Find out more on equation at: https://brainly.com/question/2972832

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.

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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

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:

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:

[tex]307.876\quad cm^{2}[/tex]

Step-by-step explanation:

As, the given figure is semicircle

Area of Semicircle [tex]=\frac{\pi\ r^{2} }{2} \\[/tex]

r=14 cm

So Area is [tex]=307.876\quad cm^{2}[/tex]

Answer:

307.72 :)

Step-by-step explanation:

SEmicirlce area: 1/2(3.14r^2)

Now lets solve!!

28/2 = 14

1/2(3.14)(14^2)

1/2(3.14 x 196)

1/2(615.44)

307.72

Have an amazing day!!

Please rate and mark brainliest!!

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:

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:

7

Step-by-step explanation:

42 divided by 6 = 7 packages