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8090 [49]
2 years ago
6

The length of a rectangle is shown below:

Mathematics
1 answer:
Tanzania [10]2 years ago
3 0

Answer:

C(5, −5), D(−4, −5)

Step-by-step explanation:

                  9 across

A(-4, 5) ————————— B(5, 5)

     |                                            |

     |          90 square units        |   10 down

     |                                            |

D(-4, -5) ————————— C(5, -5)

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A farmer finds there is a linear relationship between the number of bean stalks, nn, she plants and the yield, yy, each plant pr
Alex

The linear relationship in the form y =  y = 3n + 72

What is  linear relationship?

In statistics, a straight line of correlation between two variables is referred to as a linear relationship (or linear association). The mathematical equation y = mx + b can be used to represent linear relationships graphically.

<h3>According to the given information :</h3>

Each plant generates 34 oz of beans when she plants 30 stalks, and 33 stalks results in 33 oz of beans per plant, according to the information we have provided.

Equation 1 using data 1:

                                    y = mn + b

Equation 1 using data 1:

                                    30 = 34m + b

Equation 2 using data 2:

                                     33 = 33m + b

Subtract equation 1 from equation 2:

                               33 - 30 = 34m + b - 33m - b

                                     3 = m

                                      m = 3

Rearrange equation 1 to solve for b:

                                    b = 34(3) - 30

                                      b = 102 - 30

                                      b = 72

Therefore the equation becomes:

                                     y = 3n + 72

The linear relationship in the form y =  y = 3n + 72

To know more about linear relationship visit:

brainly.com/question/28158670

#SPJ4

5 0
2 years ago
I need help with my math I'm doing solving equations using addition and subtraction
Flura [38]
N+3=7. To find n, you need to have it by itself, so you can do that by subtracting 3 on both sides, so it would look like: n+3-3=7-3. Then you have n=4.
3 0
2 years ago
Read 2 more answers
What is the greatest common factor of the number pair 6x and 9x
Ulleksa [173]

Answer:

gcf is 3x. pls mark brainliest

Step-by-step explanation:

4 0
2 years ago
Question 15 (5 points)<br> Find the angle between u = &lt;7, -2&gt; and v= (-1,2&gt;.
Tema [17]

Answer:

Approximately 2.3127 radians, which is approximately 132.51^{\circ}.

Step-by-step explanation:

Dot product between the two vectors:

\begin{aligned}& u\cdot v \\ =\; & 7 \times (-1) + (-2) \times 2 \\ =\; & (-11) \end{aligned}.

Magnitude of the two vectors:

\begin{aligned} \| u \| &= \sqrt{{7}^{2} + {(-2)}^{2}} \\ &= \sqrt{53} \end{aligned}.

\begin{aligned} \| v \| &= \sqrt{{(-1)}^{2} + {2}^{2}} \\ &= \sqrt{5} \end{aligned}.

Let \theta denote the angle between these two vectors. By the property of dot products:

\begin{aligned} \cos(\theta) &= \frac{u \cdot v}{\|u\| \, \| v \|} \\ &= \frac{(-11)}{(\sqrt{53})\, (\sqrt{5})} \\ &= \frac{(-11)}{\sqrt{265}}\end{aligned}.

Apply the inverse cosine function {\rm arccos} to find the value of this angle:

\begin{aligned} \theta &= \arccos\left(\frac{u \cdot v}{\| u \| \, \| v \|}\right) \\ &= \arccos\left(\frac{(-11)}{\sqrt{265}}\right) \\ & \approx \text{$2.3127$ radians} \\ &= 2.3127 \times \frac{180^{\circ}}{\pi} \\ &\approx 132.51^{\circ}\end{aligned}.

8 0
2 years ago
A statue is mounted on top of a 25 foot hill. From the base of the hill to where you are standing is 53 feet and the statue subt
bixtya [17]

Answer:15.848 ft

Step-by-step explanation:

Given Height of hill is 25 foot

and distance between Hill foot and feet is 53 feet

angle subtended by 12.4^{\circ}[/tex]

From diagram

tan\theta =\frac{25}{53}

tan(\theta +12.4)=\frac{h+25}{53}

and we know tan(A+B)=\frac{tanA+tanB}{1-tanAtanB}

using above formula

tan(\theta +12.4)=\frac{tan\theta +tan(12.4)}{1-tan(\theta )tan(12.4)}

\frac{h+25}{53}=\frac{\frac{25}{53}+0.219}{1-0.219\times \frac{25}{53}}

0.896h+22.407=25+11.607

h=15.848 ft

4 0
3 years ago
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