What is the perimeter of triangle PQR.
5 units
10 units

√5+3 √2units

2 √5 + √10 units

Answer:

100 cubic inches

Step-by-step explanation:

If she fills 3 inches of the pitcher with sugar, the height will be reduced from 7 inches to 4.

Find how many cubic inches are left for lemonade by finding the volume

Use the volume formula, V = lwh

V = lwh

V = (5)(5)(4)

V = 100

So, there are 100 cubic inches left for lemonade

Answer:

A. 30

B. 6

Step-by-step explanation:

We'll use P for Penny's age and B for Benny's age. When Penny is 24, Benny will be 1.25 her age. Thus:

B = 1.25 * 24

(benny is 25% older than her)

So Benny's age then will be 1.25 * 24 = 30.

When Benny is 30, Penny will be 24. This means that he is older than her by 6 years. Think about it for a second: Benny will always be 6 years older than her. You can write that as:

B = P + 6

If Benny is 12 years old now,

12 = P + 6

Subtract 6 from both sides and you get

6 = P

or P = 6

Penny is 6 years old when Benny is 12.

Answer:

d. 625.8

Step-by-step explanation:

LxWxH

L=6 you

W=7 you

H=14.9 yd

(6×7)×14.9

42x14.9

625.8

Answer:

Vertical

Step-by-step explanation:

Hope it helps you in your learning process

Answer: 6 sticks

Step-by-step explanation:

Given

Joe needs [tex]\frac{3}{4}[/tex] butter for each cake

One stick of butter is equivalent to 0.5 cup

So, joe need

[tex]\dfrac{3}{4}\times \dfrac{1}{2}=\dfrac{3}{8}\ \text{cup}[/tex]

for each cake

To bake 8 cakes, it is

[tex]\Rightarrow \dfrac{3}{4}\times 8=6\ \text{sticks}[/tex]

Answer: 2/15

Step-by-step explanation:

2/3x-1(3x/3x)=4

2/3x-3x/3x=4

2-3x=12x

2=15x

x=2/15

Answer:

15 hours

Step-by-step explanation:

10 guests - 1.5 hours

1 guest - 1.5 / 10 = 0.15 hours

100 guests - 0.15 x 100 = 15 hours

Answer:

3.5

Step-by-step explanation:

Answer:

28 is equal to 28/100. Therefore, it is 28 percent.

Answer:

[tex]2,8,6,18[/tex]

Step-by-step explanation:

Coordinates are written in [tex](x,y)[/tex] form. In a function, this translates to (input, output). Therefore, in these four coordinates, the four outputs are 2, 8, 6, and 18.

Answer:

2:1

Step-by-step explanation:

Look at two corresponding sides in the triangles. The sides measuring 20 and 10 are corresponding sides.

20:10 = 2:1

The scale factor from triangle ABC to triangle DEF is 2:1.

Answer:

B. 210°

hope it helps

have a nice day

Answer:

12

Step-by-step explanation:

The sequence starts at 48, and goes down 4 with each term. That means that we just need to subtract 4 from 48 12 times.

Hope that this helps!

Answer:

i think the second answer??

Step-by-step explanation:

Answer:

X=2, y=5

Step-by-step explanation:

Y=3x-1 equation 1

-4x+2y=2 equation 2

-4x +2(3x-1)=2 substitute value of y (3x-1) in equation 1 into y value of equ e

-4x+6x-2=2 distributative property

2x=4 solve above equation

x=2

solve for y:

y=3x-1

y=3(2)-1

y=6-1

y=5

We will see that the axis of symmetry is x = 3, so the correct option is c.

The axis of symmetry is a line of the form x = a, such that it divides the parabola in two halves.

Particularly, the axis of symmetry passes through the vertex, so the x-value of the vertex is equal to the value of the axis.

Then we only need to find the x-value of the vertex, remember that for a quadratic:

[tex]y = a*x^2 + b*x + c[/tex]

The vertex is at:

[tex]x = -b/2a[/tex]

Then in our case, the vertex is at:

[tex]x = -12/(2*-2) = -12/-4 = 3[/tex]

So the axis of symmetry is x = 3, then the correct option is C.

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ2

Answer:

the expression for s = -1.

is s+1=0

Answer:

The components of the vector are [tex]x = 2[/tex] and [tex]y = 6[/tex], respectively.

Step-by-step explanation:

The components of the vector is equal to the vector position of the terminal point relative to the initial point ([tex]\vec v[/tex]), that is:

[tex]\vec v = B(x,y) - A(x,y)[/tex] (1)

Where:

[tex]A(x,y)[/tex] - Initial point.

[tex]B(x,y)[/tex] - Terminal point.

If we know that [tex]A(x,y) = (-5,-5)[/tex] and [tex]B(x,y) = (-3,1)[/tex], then the vector is:

[tex]\vec v = (-3,1) -(-5-5)[/tex]

[tex]\vec v = (2, 6)[/tex]

The components of the vector are [tex]x = 2[/tex] and [tex]y = 6[/tex], respectively.

Answer:

Step-by-step explanation:

TAX CALCULATION: 260 x .06 = $15.6

Next, add the tax to the original price.

260 + 15.6 = $275.6

$275.6 is the final price including tax.

Could you get a closer picture?

Answer:

She has 42 pieces of wood each of 1 inch of length.

Step-by-step explanation:

Amy has 42 inches piece of wood.

She has to cut an inch.

After cutting pieces of inch each she counts the pieces to be 42.

Mathematically

Total length / unit lenght = Number of pieces

42 inches/ 1 inch= 42 pieces.

She has 42 pieces of wood each of 1 inch of length.

Answer:

15mm x 10mm = 150mm

Step-by-step explanation:

Answer: 4 in

Step-by-step explanation:

The volume of the cylinder is

[tex]V=(\pi)(2^{2})(3)=12\pi[/tex]

If we let the height of the cone h, the volume of the cone is

[tex]V=\frac{1}{3}(\pi)(3^{2})(h)=3\pi h[/tex]

Setting these volumes equal,

[tex]12\pi=3\pi h\\\\12=3h\\\\h=\boxed{4 \text{ in}}[/tex]

Answer:

[tex]-2\pm i\sqrt{5}[/tex]

Step-by-step explanation:

[tex]x^2-6x+12=-10x+3\\x^2+4x+9=0[/tex]

For the quadratic formula, [tex]a=1,\,b=4,\,c=9[/tex].

[tex]\frac{-b \pm\sqrt{b^2-4ac}}{2a}=\frac{-4\pm\sqrt{16-4(1)(9)}}{2(1)}=\frac{-4\pm\sqrt{-20}}{2}\\=\frac{-4\pm 2\sqrt{-5}}{2}=-2\pm\sqrt{-5}=-2\pm i\sqrt{5}[/tex]

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

[tex]\frac{3}{8}[/tex]×[tex]\frac{2}{9}[/tex]

You can cut off 3 and 9 because they have 3s there

You can also cut off 2 and 8 since they have 2s there.

[tex]\frac{1}{4}[/tex]×[tex]\frac{1}{3}[/tex]

[tex]=\frac{1}{12}[/tex]

Use the formula (b/2)^2 in order to create a new term. Solve for by using this term to complete the square.

Cannot solve by completing the square.

Answer:

4 x 6 x 5= 120 divided by 2 equals 60 because 4 x 6 = 24 x 5 = 120 and u divide by 2 when its a triangle. :) hope this helps

Step-by-step explanation:

https://socratic.org/questions/in-triangle-abc-a-4-b-6-c-8-how-do-you-find-the-cosine-of-each-of-the-angles

Answer:

1/2 * 5 * 5

4

1/3, 7

79 in³

Step-by-step explanation:

The area of the base : base is shaped like a triangle ;

Area of triangle = 1/2 base * height :

Base and height = 5

Area of base = 1/2 * 5 * 5 = 12.5 in²

Volume of triangular prism = Area of base * height

Volume of triangular prism = 12.5 * 4 = 50 in³

For the triangular pyramid :

Area of base * height of pyramid *1/3

12.5 * 7 * (1/3) = 29.17

The volume of the paperweight :

Volume of triangular pyramid + volume of triangular prism

29.17 + 50

79.17 = 79 in³