What is the perimeter of the rhombus?

Answer:

m∠C = 110.9° (1 dp)

Step-by-step explanation:

The largest angle in a triangle is opposite the longest side.

Therefore, from inspection of the diagram, angle C is the largest angle since length AB is the longest side length.

To find angle C, use the cosine rule:

[tex]\sf c^2=a^2+b^2-2ab \cos C[/tex]

(where a, b and c are the sides, and C is the angle opposite side c)

Given:

Substituting the given values into the formula and solving for C:

[tex]\implies \sf c^2=a^2+b^2-2ab \cos C[/tex]

[tex]\implies \sf 15^2=11^2+7^2-2(11)(7) \cos C[/tex]

[tex]\implies \sf 225=170-154 \cos C[/tex]

[tex]\implies \sf \cos C=\dfrac{225-170}{-154}[/tex]

[tex]\implies \sf \cos C=-\dfrac{5}{14}[/tex]

[tex]\implies \sf C=\cos ^{-1}\left(-\dfrac{5}{14}\right)[/tex]

[tex]\implies \sf C=110.9248324...^{\circ}[/tex]

Therefore, m∠C = 110.9° (1 dp)

Answer:

see photo for detailed analysis

Answer:

B

Step-by-step explanation:

On the graph, you can see that when y=0, x is on 5 and 6.

Answer:

There is no Quadrant V only

Quadrant I

Quadrant II

Quadrant III

Quadrant VI

Answer:

That would be quadrant V

Step-by-step explanation:

Because Quad means 4 and in roman V

Hence, the answer is Quadrant V

Give Brainliest :)

Answer:

648

Step-by-step explanation:

108X1=108 so 108X6=648

Answer:

5.831

Step-by-step explanation:

formula: a squared + b squared= c squared

3 squared= 9

5 squared = 25

sqrt rt of total is 5.831

Answer:

8

Step-by-step explanation:

divide 14 by 7 to get 2. IT is 2 tests a week so multipy 7 by 2 to get 14 then just add 2 to get 16. you added two meaning you added a week because each week is two tests so the answer will be 8 weeks.

Tim have to attend a total of 8 weeks this quarter before he will have taken a total of 16 quizzes.

The unitary method is a process for solving a problem by first finding the value of a unit, and then finding the necessary value by multiplying the single unit value.

According to the problem,

Tim took 14 quizzes over the course of 7 weeks.

∴ Tim can take 1 quiz over the course of [tex]\frac{7}{14}[/tex] weeks

Tim can take 16 quizzes over the course of [tex](\frac{7}{14})[/tex] x 16 weeks = 8 weeks

∴ Tim can take 16 quizzes over the course of 8 weeks.

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Answer:

90

Step-by-step explanation:

multiples of 3 = 1, 3.

to it's given sequence or multiple the multiplication of 30 dice multiplied by it's multiple gives us 90

The total population mean must be close to $47,600 based on statistical inference.

The entire population mean must be close to $47,600. Then the correct option is C.

The mean is the simple definition of the average of a bunch of numbers. In statistics, one of the markers of central tendency is the mean.

The average is referred to as the arithmetic mean.

It's the ratio of the number of real observations to the total number of observations.

The owners of a manufacturing company conducted a survey to determine the mean income of the customers who prefer the company’s brand of clothing.

From a random sample of 100 customers, it was determined that their mean income was $47,600.

Based on statistical analysis, the entire population mean must be close to $47,600.

More about the mean link is given below.

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Answer: B. 431.59

Step-by-step explanation:

1.6*12 =19

90*2 = 180

circle area = pier^2

127.25 for upper and 88.35 for lower

triangle is just the square / 2

i rounded so my answer is not exact but b should be correct

Answer: D.2

Step-by-step explanation:

First,

Add all the number together.

32+24+16+8

=80

Next,

80 divided by amount of customers.

80 / 40 = 2

Therefore the average is 2.

Answer:

84 km

Step-by-step explanation:

you times 7 by 4 and get 28 then you times 3 by 28 and get 84 km

Answer:

my best guess is 17.45

Step-by-step explanation:

Answer:

288

Step-by-step explanation:

12 x 8 x 3 = 288

Answer:

144

Step-by-step explanation:

1/2 x (8) x (3) = 12

(12) x (12) = 144

Answer:

0.416

Step-by-step explanation:

[tex]\huge\color{red}\underline \colorbox{yellow} {\color{gold}{scroll}}[/tex][tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]

[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]

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[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]

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[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]

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[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]

Answer:

2, 16, 18.

Step-by-step explanation:

The first number might be 4 , 9, 16 or 25.

The other 2 numbers are factors of 18 so could be:

2, 3, 6, 9 or 18.

If square no. = 4 then sum of other 2 = 32 but no 2 numbers will fit the required result.

If it is 9, the sum = 27 then 9 and 18 will fit but that makes 2 square numbers  so this is not the answer.

If square no. = 16, the sum of other 2 is 20. 2 and 18 will fit this.

Answer:

1 and 2 are linear functions.

Step-by-step explanation:

Answer:

The probability of being red is 15 to 15 + 7 + 3

15 3

---- = -----

25 5

Answer:

25

Explanation:

As can be seen from the figure:

The length of each support cable is:

√ 24² + 7² (pythagorean

theorem/

√576 +49

= √625

= √25²

25 feet

so the answer is 25

Answer:

Mr. white started with 45 dollars, he spent 9 dollars on a wallet and was left with 36, he then spent 15 dollars on a tie and was left with 21 dollars.

Step-by-step explanation:

45 * 0.8 = 36
he started with 45 dollars
30 * 0.7 = 21, in the end he was left with 21 dollars

Answer:

y = - 2x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

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

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m = [tex]\frac{1-3}{1-0}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - 2x + 3 ← equation of line

Step-by-step explanation:

1/5 + 3/5 = 3/5 + 1/5 = 4/5

I am not sure what your teacher wants to see on the right side of the second equation.

it would be the whole equation again :

4/5 = 1/5 + 3/5 = 3/5 + 1/5

Answer:

about 342.86

Step-by-step explanation:

300 is only 7/8 the value of the original so you know

7/8x = 300

solve for x

you get 342.86

Answer:

x = 21 degrees or A

Step-by-step explanation:

7x - 3 + 2x - 6 = 180

9x - 9 = 180

9x = 189

x = 21

The correct equation must have a slope of 3/2. The required equation is y=3/2x

The standard equation of a line is y = mx + b

where;

m is the slope

b is the y-intercept

Given the following equation

y=−2/3x+1

The slope of the line is -2/3

For two lines to be perpendicular, the product of their slope must be zero.

mm1 = 01
-2/3m = -1
m = 3/2

This shows that the correct equation must have a slope of 3/2. The required equation is y=3/2x

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Answer:

3/10 chance.

Step-by-step explanation:

Since Theoretical Probability is number of favorable outcomes over number of total outcomes, You can see it here that there are two l's and one c. This means that you will have 3 chances to get the letter you want. There are also 10 different letters. This means that you have a 3/10 chance of getting an l or c.

A statement which proves that the diagonals of square PQRS are perpendicular bisectors of each other is: option D.

Mathematically, the slope of a line is given by the following formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

For line RP, we have:

[tex]Slope = \frac{9\;-\;2}{5\;-\;4}\\\\Slope = \frac{7}{1}[/tex]

Slope RP = 7.

For line SQ, we have:

[tex]Slope = \frac{6\;-\;5}{1\;-\;8}\\\\Slope = \frac{1}{-7}[/tex]

Slope SQ = negative one-sevenths.

For the midpoint, we have:

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

Midpoint on x-coordinate = (8 + 1)/2 = 9/2 = 4.5.

Midpoint on y-coordinate = (9 + 2)/2 = 11/2 = 5.5.

In conclusion, a statement which proves that the diagonals of square PQRS are perpendicular bisectors of each other is that the midpoint of both diagonals is (4.5, 5.5), the slope of RP is 7, and the slope of SQ is negative one-sevenths.

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Answer:

D. The midpoint of both diagonals is (4 1/2, 5 1/2) , the slope of RP is 7, and the slope of SQ is - 1/7.

Step-by-step explanation: I just did it on edge 2023. Hope this helps!

Answer:

here we go dude sorry for dirty handwriting

Answer:

[tex]\sqrt{10}[/tex]

Step-by-step explanation:

Define your points x1, y1 and x2, y2

(x1,y1) = (-4,-2)

(x2,y2) = (-5,1)

Use the distance formula, the distance between the center and that point is the radius of the circle.

[tex]\sqrt{(x2-x1)^{2} +(y2-y1)^{2}}\\\sqrt{(-5--4)^{2} +(1--2)^{2}}\\\\\sqrt{(-1)^{2} +(3)^{2}}\\\\\sqrt{1 +9}\\\\\sqrt{10}\\[/tex]