Find the area of the triangle.
18.2 m
13 m
22.3 m
[ ? ] m2

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where m is the slope

c is the y intercept

Equation of the line using point ( -1 , 2) and slope 3/2 is

Hope this helps you

Answer:

9

Step-by-step explanation:

x2 + 3

(3)2 + 3

6 + 3

9

Answer:

12.

Step-by-step explanation:

x = 3; x^2 + 3.

(3)^2 + 3 = 3 * 3 + 3 = 9 + 3 = 12

Hope this helps!

Answer:

false

Step-by-step explanation:

its false I think

Answer:

No I don't agree with Clare.

You will get more than 11 yards

Step-by-step explanation:

Answer:

I think this is the distributive property.

Step-by-step explanation:

Answer:

y= -5

y= -2

y= 1

y= 4

Step-by-step explanation:

plug in the values of x into the equation

The values of 'y' for the given values of [tex]x = - 1, 0, 1, 2[/tex] are [tex]- 5, - 2, 1, 4[/tex] respectively.

A linear equation is an equation that has one or multiple variables with the degree of the polynomial is 1.

The given linear equation is

[tex]y = 3x - 2[/tex]

The given values of [tex]x = - 1, 0, 1, 2[/tex].

For [tex]x = - 1, y = 3(- 1) - 2 = - 5[/tex]

For [tex]x = 0, y = 3(0) - 2 = - 2[/tex]

For [tex]x = 1, y = 3( 1) - 2 = 1[/tex]

For [tex]x = 2, y = 3(2) - 2 = 4[/tex]

Therefore, the table will be:

   x        y

 - 1      - 5

   0     - 2

   1        1

   2       4

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Answer:

f(4) = 24

Step-by-step explanation:

Plug in 4 for x in the equation:

f(x) = x² + 3x - 4

f(4) = (4)² + 3(4) - 4

Remember to follow PEMDAS. PEMDAS =

Parenthesis

Exponents (&  Roots)

Multiplication

Division

Addition

Subtraction

and is the order of operation.

First, solve the power:

(4)² = 4 * 4 = 16

Next, multiply 3 with 4:

3 * 4 = 12

Next, combine the terms:

f(4) = 16 + 12 - 4

f(4) = (16 + 12) - 4

f(4) = 28 - 4

f(4) = 24

f(4) = 24 is your answer.

~

Answer:

24

Step-by-step explanation:

Plug x as 4.

(4)² + 3(4) - 4

16 + 12 - 4

= 24

Answer:

Length of each side of the square = 8 cm

Step-by-step explanation:

In the figure attached, diagrams of a right triangle and a square have been given.

"Area of the square is twice the area of the triangle."

Let one side of the square = x cm

Therefore, area of the square = x²

Area of the given triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                           = [tex]\frac{1}{2}(16)(4)[/tex]

                                           = 32 cm²

Therefore, x² = 2 × 32

x² = 64

x = 8 cm

Therefore, length of each side of the square will be 8 cm.

Answer:

4 sqrt(7)

Step-by-step explanation:

We can use the leg rule

hyp            leg

------- = -------------------

leg          part

9+7          z

------- = -------------------

z          7

Using cross products

(9+7) *7 = z^2

16*7 = z^2

112 = z^2

Taking the square root of each side

sqrt( 16*7) = sqrt(z^2)

4 sqrt(7) = z

Answer:

The answer is 1/3.

Step-by-step explanation:

This is because when dividing you switch the sign to multiplication and flip the second fraction so that the denominator is the numerator and the numerator is the denominator. You would then just multiply as normal to get 1/3.

Answer:

A, C, E, G

Step-by-step explanation:

Answer:

7% of 33= 2.1

2% of 640= 12.8

15% of 470=70.5

7/9 of 51= 119/3

.52 of 62= 32.24

Answer:

1) 2.31

2) 12.8

3) 72

4) 44.625

5) 32.24

Step-by-step explanation:

7% of a number is simply 0.07*the number.

7/8 is just .875*the number

Hope it helps <3

Answer:

3x3 +5x2

Step-by-step explanation:

f(x).g(x)

(3x+5)(x2)

(3x×x2)(5×x2)

3x3+5x2

Extract the normal vectors from the given planes:

[tex]-2x+y+z+2=0\implies\vec n_1=(-2,1,1)[/tex]

[tex]x+y-3z+1=0\implies\vec n_2=(1,1,-3)[/tex]

(which are unique up to their signs, meaning either [tex]\vec n_1[/tex] or [tex]-\vec n_1[/tex] are valid choices for the normal vector)

The third plane must be perpendicular to both these given planes, which means it would be parallel to both [tex]\vec n_1[/tex] and [tex]\vec n_2[/tex], which in turn means its own normal vector [tex]\vec n_3[/tex] should be perpendicular to both [tex]\vec n_1[/tex] and [tex]\vec n_2[/tex].

Enter the cross product:

[tex]\vec n_3=\vec n_1\times\vec n_2=(-4,-5,-3)[/tex]

or (4, 5, 3), which also works.

The given plane passes through (-1, 1, 4), so its equation is

[tex](x+1,y-1,z-4)\cdot\vec n_3=0[/tex]

Simplify:

[tex](x+1,y-1,z-4)\cdot(4,5,3)=0[/tex]

[tex]4(x+1)+5(y-1)+3(z-4)=0[/tex]

[tex]\boxed{4x+5y+3z=13}[/tex]

Answer:

  Eva used a side dimension instead of the height.

Step-by-step explanation:

The base needs to be multiplied by the height, then the result needs to be divided by 2. Eva's mistake is using a side dimension instead of the height. Her approach only works for a right triangle.

Eva multiplied the base by the side height, not the actual height.

Step-by-step explanation:

The area of a triangle is b×h×½, or b×h÷2. Eva multiplied the length times one side, as it says in the problem. The actual height of the triangle we don't know, but we know that Eva multiplied the base, 7.8 cm, by the wrong height.

Hope this helps! (Plz give me brainliest, it will help me achieve my next rank.)

Answer:

Lateral surface area of cuboid = 448 ft²

Step-by-step explanation:

Given:

Height of cuboid(h) = 14 ft

Length of cuboid(l) = 9 ft

width of cuboid(b) = 7 ft

Find:

Lateral surface area of cuboid

Computation:

Lateral surface area of cuboid = 2 h(l + b)

Lateral surface area of cuboid = 2(14)(9 + 7)

Lateral surface area of cuboid = 28(16)

Lateral surface area of cuboid = 448 ft²

Answer:

The correct answer is B

Answer:

0 < x < 25

Step-by-step explanation:

Answer:

About 2.72

Step-by-step explanation:

From reading the comments, I suppose you meant v actually means x so:

14 × 14 = 196

196 ÷ 72 ≈ 2.72

Hope this helped! :)

Answer:

Hello!

I'm not sure what the " v " means but I think you meant to put x instead of v

____________________

14 x 14 = 196

196 ÷ 72 = [tex]\frac{49}{18}[/tex]

Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.

Hope I got this right.

Answer:

frank drank 0.125us gallons= 16 ounces, he has 0.875 us gallons= 112 ounces

Step-by-step explanation:

since 16 oz (which frank drank) = 0.125 gal, 1 gal - 0.125 = 0.875 gal which = 112 oz

Answer:

52

Step-by-step explanation:

the total is 180

so u add 61 and 67 which gives u 128

so u subtract 180 and 128 which gives u 52

hope this helps

Answer:the answer is 52

Step-by-step explanation:

First a triangle equals 180 degrees. Knowing that Q is 67 degrees and R is 61 degrees 67 plus 61 is 128. 180 subtract 128 is 52 therefore S is 52 degrees.

Answer:

option d is correct answer.

hope it helps..

D. 8.8 cm^3

Step-by-step explanation:

The formula for the volume of a cone is...

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

We can plug everything we know into the formula and convert pi to 3.14 since the answer choices aren't in pi.

[tex]V=\frac{1}{3}*( 3.14*1.45*1.45*4 )[/tex]

I prefer to do the 1/3 last, but it is entirely up to you!

Now solve...

[tex]V=\frac{1}{3}*26.4074[/tex]

Divide by 3.

V =

8.8 cm^3

Answer:

V= -2000t + 20000

Step-by-step explanation:

Let m be the slope of our function :

Let's check :

Answer:

The answer is option C.

Step-by-step explanation:

h(x) = 2(3x – 5) = 6x - 10

k(x) = –2x + 1

h • k (x) = (6x - 10) ( - 2x + 1)

= - 12x² + 6x + 20x - 10

The final answer is

= - 12x² + 26x - 10

Hope this helps you

Answer:

C)  h · k(x) = –12x2 + 26x – 10

Step-by-step explanation:

Answer:

x + 2x + 1/2x = 224

Step-by-step explanation:

x + 2x + 1/2x = 224

3.5x = 224

x= 64

64×2=128

Hen baked 128 cookies on the second day

The length of PG using the centroid property is 6 unit.

The centroid divides each median into segments in a 2:1 ratio.

This means that the distance from the centroid to the vertex is twice the distance from the centroid to the midpoint of the opposite side.

Given:

JG = 18

As, the centroid divides each median into segments in a 2:1 ratio then

PG:PJ = 1:2

So, the length of PG

= 1/3 * (18)

= 18/3

= 6 unit

Thus, the length of PG  is 6 unit.

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Answer:

E = (28 + 66i) Volts

Step-by-step explanation:

Note that: i = √-1 ; i² = -1

Ohm's law: E = IR

E = (16+ i) (2 + 4i)

Expand the equation.

E = 16x2 + 16x4i + ix2 + ix4i

E = 32 + 64i + 2i + 4i²

E = 32 + 64i + 2i + 4(-1)

E = 32 + 64i + 2i - 4

Collect like terms:

E = 32 -4 + 64i + 2i

E = (28 + 66i) Volts

Answer:

68.26

Step-by-step explanation:

The symbol σ represents standard deviation. 1 standard deviation (in both directions) under a normal distribution= 68.26

Answer:

68%.

Step-by-step explanation:

The 68-95-99.7 rule (also know as the Empirical Rule) states that 68% of the data lies within 1 standard deviation of the mean. 95% of the data lies within 2 standard deviations of the mean. 99.7% of the data lies within 3 standard deviations of the mean.

According to the diagram, the area shaded shows data within 1 standard deviation of the mean (one standard deviation to the left, and one to the right). That means that 68% of the data is within the shaded area.

Hope this helps!