Maria is trying to estimate y70. She uses this table of values:
Square 8.028.12 8.22 8.32 8.42
8.52
Value
64.0 65.6 67.2 68.9 70.6
72.3
Square 8.628.728.82
8.92 9.02
Value
74.0
75.7 77.4 79.281.0
What should she do next to find y70 to the nearest hundredth?

Given:

A right angled triangle.

To find:

The value of x.

Solution:

We have,

Base = x

Hypotenuse = [tex]\sqrt{5}[/tex]

In a right angle triangle,

[tex]\cos \theta = \dfrac{Base}{Hypotenuse}[/tex]

For the given triangle,

[tex]\cos 45^\circ= \dfrac{x}{\sqrt{5}}[/tex]

[tex]\dfrac{1}{\sqrt{2}}= \dfrac{x}{\sqrt{5}}[/tex]

Multiply both sides by [tex]\sqrt{5}[/tex].

[tex]\dfrac{\sqrt{5}}{\sqrt{2}}= x[/tex]

[tex]\dfrac{\sqrt{5}}{\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}= x[/tex]

[tex]\dfrac{\sqrt{10}}{2}= x[/tex]

Therefore, the required value of x is [tex]\dfrac{\sqrt{10}}{2}[/tex].

Answer:

graph d .

\

Step-by-step explanation:

Answer:

(x-8)/4=y

Step-by-step explanation:

f(x)= 4x+8

y=4x+8

y-8=4x

(y-8)/4=x

(x-8)/4=y

Answer:C

Step-by-step explanation:

The polynomial can be factored using the binomial theorem is

1,000x³  – 2,100x² + 1,470x – 343.

Assertion that the sum of the nth power of the product of two positive integers a and b may be written as the sum of the n + 1 terms of the form for any positive integer n.

If a and b are real numbers and n is a positive integer, then

[tex](a + b)^n =^nC_0 a_n + ^nC_1 a_{n-1} b_1 + ^nC_2 a_{n-2} b_2 + ... 1.[/tex]

Given:

Using Binomial we can write

(a+ b)³ = a³ + b³ + 3a²b + 3ab²

and, (a+ b)² = a² + 2ab + b²

So, 100x²+ 70x + 49 and 100x² + 210x + 49 cannot be factors using Binomial Theorem because the correct expansion would be

(10x+ 7)² = 100x² + 140x + 49

and, 1,000x³  – 2,100x² + 1,470x – 343 can be factored using Binomial theorem.

As, (10x - 7)³ = 1000x³ -2100x² + 1470x - 343.

Learn more about Binomial theorem here:

https://brainly.com/question/27813780

#SPJ6

4(2)+2=10

X=2

Y=8

X+y=10

Y=4x

Answer:

C200

Step-by-step explanation:

21 goes into 43 2 times. Because of place value, it really means 200.

21 x 200= 4200

Answer:

c is the answer

Step-by-step explanation:

because 4200 divided by 21 is 200

hope this helps

Answer:

A. y = 8x

Step-by-step explanation:

y is the product, and x is one of the variables that will multiply another number to equal y. So x times a variable equals y, then y divide by x would equal that variable. And in the questions it gave us if y = 48 and x = 6. So we'll use that: 48/6 = 8, the variable is 8. 8 times 6 equals 48 so:

y = 8x

Answer:so it would be between 14/20

Step-by-step explanation:

Answer:

Step-by-step explanation:

Well first you should rearrange the equation to make it easier to graph. 8x-4y=16.

8x - 4y = 16.

8x +4y = 16 + 4y

8x -16 = 4y

Divide both sides by 4 to get y by itself.

2x - 4 = y

The y-intercept is -8 and the slope is 2x so the graph would look something like this.

Answer:

If we are talking about cent's it would be 11 inches of wire

if we are talking about the wire, then 33in would be equivalent to 66 cents

Step-by-step explanation:

im not sure about the second one but the first answer is correct. Please give brainliest by the way

Answer:

11 inches

Step-by-step explanation:

45 divided by 15 = 3

33 divided by 3 = 11

Answer:

y = 4x + 23

Step-by-step explanation:

[tex]y-y_{1}=m(x-x_{1} )\\y-3=4(x-(-5))\\y-3=4(x+5)\\y-3=4x+20\\y=4x+23[/tex]

The equation of the line is required.

The equation of the line is [tex]y=4x+23[/tex]

[tex]m[/tex] = Slope of line = 4

Point = [tex](-5,3)[/tex]

[tex]x_1=-5[/tex]

[tex]y_1=3[/tex]

Equation of a line is given by

[tex]y-y_1=m(x-x_1)\\\Rightarrow y-3=4(x-(-5))\\\Rightarrow y-3=4x+20\\\Rightarrow y=4x+20+3\\\Rightarrow y=4x+23[/tex]

Learn more about equation of line:

https://brainly.com/question/13763238

Answer:

2

−

6

=

−

1

0

Step-by-step explanation:

Answer: −6+2x=−10

Step 1: Simplify both sides of the equation.

2x−6=−10

Step 2: Add 6 to both sides.

2x−6+6=−10+6

2x=−4

Step 3: Divide both sides by 2.

2x

2=−4

2

x=−2

Answer:

x=−2

Step-by-step explanation:

Answer:

9y+8x+9

Step-by-step explanation:

8y+1y=9y

8x is the only like term of its type

6+3=9

9y+8x+9 is your answer

Answer:

- 2 ft/ s

Step-by-step explanation:

The rate of change is the slope m of the line.

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 80) and (x₂, y₂ ) = (40, 0) ← 2 points on the line

m = [tex]\frac{0-80}{40-0}[/tex] = [tex]\frac{-80}{40}[/tex] = - 2

Rate of change is - 2 ft/ s

Answer:

160 cm^2/s

Step-by-step explanation:

Just took the test.

Answer:

160cm^2

Step-by-step explanation:

answer from plato

Answer:

(A). x ≥ [tex]\frac{16}{5}[/tex] and x ≤ - [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

5x - 4 ≥ 12 ⇔ 5x ≥ 16 ⇒ x ≥ [tex]\frac{16}{5}[/tex]

and

12x + 5 ≤ - 4 ⇔ 12x ≤ - 9 ⇔ 4x ≤ - 3 ⇒ x ≤ - [tex]\frac{3}{4}[/tex]

To see if it is possible, you will want to create an equation.

3(4x+2) = 6(2x+2)

As you can see, you will need to use the distributive property for this equation.

12x + 6 = 12x + 12

Remove 6 from both sides.

12x = 12x + 6

Divide 12 by both sides

x = x + 0.5

Because the answer wasn't x = x, the two plants won't ever be the same height. Even if you tried to subtract 0.5, you'd only get a negative 0.5 on the other side.

Answer: C

Step-by-step explanation:

Answer:

145

Step-by-step explanation:

12x12=144 and the closest number to 144 is 145

Answer:

94.21 gigabytes

Step-by-step explanation:

add 49.71 to 44.5 to get 94.21

Answer:

A. 21/18

Step-by-step explanation:

The numerator pattern is adding 2 every time to the difference (ex: difference between 1 and 3 is 2, then difference between 3 and 7 is 4). Meanwhile the denominator is only adding 2 everytime.

Answer:

x = 8

Step-by-step explanation:

1/2(4x – 8) + 3x = 36

~Simplify left side

2x - 4 + 3x = 36

~Combine like terms

5x - 4 = 36

~Add 4 to both sides

5x = 40

~Divide 5 to both sides

x = 8

Best of Luck!

Answer:

It is C.

Step-by-step explanation:

You divided 6.57 by 3

and 3 by 3

3 by 3 = 1

6.57 = 2.19

3 so for every 1 pound it costs $2.19

C) 2.19

Step-by-step explanation:

Hope this helps!!

Answer:

The answer is 8a-28b+15c

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

if four people dont want it and there are 14 people total, then it would be (14-4). The photos cost $3 so it would be 3(14-4)=$30

Answer:

C

Step-by-step explanation:

from 14 friends you have to take away the 4 that do not want a photo

(14- 4 ) is the number of kids Charlie will have to pay for

and will pay $3 for each (14-4) kids

3(14-4)  is the cost

3(14-4) = 3*10 = is $30

Answer: .074 continuing

Answer:

6/1

Step-by-step explanation:

Hope this helps:)

Answer:

Original Patio:

-perimeter - 36 feet

-area - 80 square feet

New Patio:

-perimeter - 40 feet

-area - 96 square feet

Answer:

115x=y

Step-by-step explanation: