Pls help for brainliest
Jake is 3 years younger than his brother, Chris. If Chris is c years old, which expression can be used to find Jake's age?

Answer:

A & D are correct

Step-by-step explanation:

to solve for 'x':

4x + 16 = 180

4x = 164

x = 41

m∡A =  2(41)+1 = 83°

m∡B = 41°

m∡C = 41+15 = 56°

Applying the distance formula, the lengths of the segments are:

WX= √26 = 5.1 units

YZ = √26 = 5.1 units

XY = √26 = 5.1 units

WZ = √26 = 5.1 units

WY = √26 = 5.1 units

XZ = √52 = 7.2 units

The distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], can be used to find the distance between two endpoints of a segment.

Given:

Find WX:

Let:

W(-4, -3) = (x1, y1)

X(1, -2) = (x2, y2)

Plug in the values into the distance formula:

[tex]WX = \sqrt{(1 -(-4))^2 + (-2 -(-3))^2}\\\\WX = \sqrt{(5)^2 + (1)^2} \\\\WX = \sqrt{26} \\\\\mathbf{WX = 5.1 $ units}[/tex]

Following the same steps, using the distance formula, the following lengths would be calculated as follows:

YZ = √26 = 5.1 units

XY = √26 = 5.1 units

WZ = √26 = 5.1 units

WY = √26 = 5.1 units

XZ = √52 = 7.2 units

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Answer:

y= 18

z= 22.5

x= 37.5

Similar right triangles

Check the picture below.

well, we know the angle's cosine and sine or namely adjacent and opposite sides, let's get the hypotenuse.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{1}\\ b=\stackrel{opposite}{-8}\\ \end{cases} c=\sqrt{1^2+(-8)^2}\implies c=\sqrt{65} \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )=\cfrac{\stackrel{hypotenuse}{\sqrt{65}}}{\underset{opposite}{-8}}\implies csc(\theta )=-\cfrac{\sqrt{65}}{8}[/tex]

Answer:

the answers is 530000 millimeters

Answer:

540 SUV's

Step-by-step explanation:

Sales percentage of non SUV's = 100 - 60 = 40%

Let total cars be x

40% of x = 360

[tex]\dfrac{40}{100}*x=360\\\\\\x=360*\dfrac{100}{40}\\\\\\x = 900[/tex]

Number of SUV's = Total cars -   number of non SUV's

                             = 900 - 360

                              = 540

Answer:

w = 4

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

13w + 18w + 56 = 180

31w + 56 = 180 ( subtract 56 from both sides )

31w = 124 ( divide both sides by 31 )

w = 4

Answer:

Step-by-step explanation:

Hence, the expression is 46k - 32.

Hi!

First, let's distribute -8:

-8(-5k+4)+6k

[tex]\rm{40k-32+6k[/tex]

Combine Like Terms:

[tex]\rm{46k-32[/tex] (Answer)

Hope it helps!

~Misty~

Answer:

$212.5

Step-by-step explanation:

10%= 25 (because 250/10)

5%= 12.5
15%= 37.5

250-37.5= $212.5

Answer:

Hence the price of the phone with a discount coupon will be $212.5

Step-by-step explanation:

[tex]Solution,\\\\MP=250\\\\Discount=15percent\\\\Now ,\\\\Discount amount=Discount percent*MP\\\\Discount amount=15/100*250\\\\Discount amount=37.5\\\\SP=MP-Discount\\\\SP=250-37.5\\SP=212.5[/tex]

Answer:

[tex]4\sqrt{3} -3\sqrt{2} (or) 2.68556[/tex]

Step-by-step explanation:

first you're going to simplify the radical expression:

[tex]-\sqrt{12}[/tex] becomes [tex]-2\sqrt{3}[/tex]

[tex]\sqrt{18}[/tex] becomes [tex]3\sqrt{2}[/tex]

[tex]2\sqrt{27}[/tex] becomes [tex]6\sqrt{3}[/tex]

your equation should now be [tex]-2\sqrt{3} -3\sqrt{2} +6\sqrt{3}[/tex]

next you're going to collect like terms [tex]-2\sqrt{3} +6\sqrt{3} =4\sqrt{3}[/tex]

so your final answer is [tex]4\sqrt{3} -3\sqrt{2}[/tex]

Answer:

2

Step-by-step explanation:

3.60+3.60=7.20 thats correct

Answer:

1. vertical

2. interior

3. interior

4. vertical

5. -6

7. -8

Answer:

A compass is used to draw arcs is the answer.

Answer: Intersecting arcs are created and connected.

Step-by-step explanation:

Intersecting arcs are created and connected.

Answer:

[tex]Solution,\\When,b=2\\Now, b*5=2*5=10[/tex]

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

0.43118 to 1 significant figure will remove all but one digit of information.

The amount of water in the pond per hour is 300 liters per hour

From the graph, we have the following points:

(x,y) = (0,100) and (1,400)

This means that:

The amount of water per hour is the calculated using:

Rate = (y2 - y1)/(x2 - x1)

Substitute known values

Rate = (400 - 100)/(1 - 0)

Evaluate the quotient

Rate = 300

Hence, the amount of water in the pond per hour is 300 liters per hour

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Answer:

12 hours(105km)

13.64 hours (120 km)

16 hours (141 km)

40 hours ( 352km)

Answer:

12 hours ( 105 km )

13.64 hours ( 120 km )

16 hours ( 141 km )

40 hours ( 352 km ) .

Answer:

80x

hope it helpss.....

Answer:

X=16

Step-by-step explanation:

52/13=4

4 = how much the shape was dialated

And so you would multiply 4 by 4 to get the corresponding side which is X

Answer:

I believe the answer is c

Answer:

D

Step-by-step explanation:

The slope is -100/3 and the y intercept is 450

Answer:

letter D

Step-by-step explanation:

hope it helps alot

Answer:The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane.

Step-by-step explanation:The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

Answer:

mode = 11.18 (non recurring)

Step-by-step explanation:

hope this answer helps you! and sorry if it looks messy

Answer:

B

Step-by-step explanation:

pretty sure im on the same part as u

Step-by-step explanation:

first let's get the original line in slope intercept form.

the vegetal slope intercept form is

y = ax + b

a is the slope, b is the y-intercept.

2x + y = 5

y = -2x + 5

there !

a line parallel to this line must have the same slope (-2).

but it will intersect with the y-axis at a different point.

the y-intersect is the y value when x = 0.

the given point (0, 1) is already that y-intersect (because x=0).

so, the desired parallel line function is

y = -2x + 1

if we had a different point of the line, e.g. (4, -7), we would go back to the general equation

y = ax + b

put in the slope we know (-2)

y = -2x + b

and then put in the x and y cakes if the point and calculate b

-7 = -2×4 + b

-7 = -8 + b

b = 1

and then we get again

y = -2x + 1

The volume V determined by the cylindrical shells is  [tex]\frac{65\pi }{6}[/tex]  cube units

Given data:

The cylindrical shells method involves integrating the volume of infinitesimally thin cylindrical shells formed by revolving a vertical strip of the region about the specified axis.

Step 1: Visualize the region and the axis of rotation.

The region bounded by the curves [tex]x = 5y^2[/tex] , y ≥ 0, and x = 5 is the region in the first quadrant between the parabola x = 5y^2 and the line x = 5. The axis of rotation is the line y = 2.

Step 2: Set up the integral for the volume.

We will integrate the volume of cylindrical shells from y = 0 to y = a, where a is the y-coordinate of the point of intersection between x = 5y^2 and x = 5. To find this point of intersection, we equate the two equations:

[tex]5y^2 = 5[/tex]

[tex]y^2 = 1[/tex]

y = ±1

dV = circumference * height * dx

Now, the radius of each cylindrical shell is the distance from the axis of rotation (y = 2) to the curve [tex]x = 5y^2[/tex]. The radius is given by r = 2 - y.

The height is given by  [tex]h = 5y^2 - 5[/tex].

The circumference of each cylindrical shell is given by 2πr, where r is the distance between the line y = 2 and the curve, which is x.

Therefore, the circumference is 2πx.

Substituting the height and circumference into the integral:

[tex]V = \int\limits^1_0 {2 \pi (2 - y)(5y^2 - 5) dy[/tex]

On solving the integral:

[tex]V =-10 \pi \int\limits^0_1 { (2 - y)(y^2 - 1) dy[/tex]

On simplifying:

[tex]V=-10\pi (\frac{-13}{12})[/tex]

Hence, the value of integral is  [tex]\frac{65\pi }{6}[/tex]  cube units and the graph is attached below.

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