In rhombus ABCD, AB=12 and AC=22. Find the area of the rhombus to the nearest 10.
a) 195
b) 221.3
c) 105.5
d) 100.8

Answers

Answer 1

Answer:

  c)  105.5 square units

Step-by-step explanation:

The area of a rhombus can be computed as half the product of the diagonal lengths.

__

Half the diagonal BD will be one leg of the right triangle formed by the diagonals and the sides of the rhombus. The length of that leg is found using the Pythagorean theorem:

  a² +b² = c²

  11² +b² = 12²

  b² = 144 -121 = 23

  b = √23 ≈ 4.796

This value is half the length of diagonal BD, so multiplying it by the length of diagonal AC will give the area of the rhombus.

  Area = 1/2(AC)(BD) = (22)(4.796) ≈ 105.5 . . . . square units

In Rhombus ABCD, AB=12 And AC=22. Find The Area Of The Rhombus To The Nearest 10.a) 195b) 221.3c) 105.5d)

Related Questions

Suppose that a good has an income elasticity of demand of -2. 0. This means that the good is

Answers

The good has an income elasticity of demand of -2. 0. This means that the good is inferior goods.

What are the characteristics of inferior goods?

An inferior good occurs when an increase in income causes a fall in demand.

An inferior good has a negative income elasticity of demand. (YED) Inferior goods are characterized by low quality – and are goods with better alternatives.

Suppose that good has an income elasticity of demand of -2. 0. This means that the good is inferior goods.

An inferior good is one whose demand drops when people's incomes rise. When incomes are low or the economy contracts, inferior goods become a more affordable substitute for more expensive goods.

Inferior goods are the opposite of normal goods, whose demand increases even when incomes increase.

Hence, the good has an income elasticity of demand of -2. 0. This means that the good is inferior goods.

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Part of the population of 6,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 9 of them are infected. How many elk are likely to be infected?

Answers

When the sample is given, the number of elk are likely to be infected is to be considered as the 1,215.

Calculation of the number of elk:

Since the population is 6,750.

The random sample is 50.

So here be like

[tex]6750[/tex] ÷ [tex]50[/tex] × [tex]9[/tex]

= 1,215

hence, When the sample is given, the number of elk are likely to be infected is to be considered as the 1,215.

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Consider the parallelogram below.
Find the value of y.
Enter each line of work as an equation.

Answers

Answer: 10

Step-by-step explanation:

Opposite sides of a parallelogram are congruent, so [tex]17=y+7 \longrightarrow y=10[/tex]

What is the equation of the line that passes through the point (4,7) and has an
undefined slope?

Answers

Answer:

Step-by-step explanation:

use the point slope formula  

y - y1 = m(x -x1)

where "m" is an undefined slope

and plug in the given point   (4,7)  it's form is  (x1,y1)

y-7 = m(x - 4)

y = m(x - 4 )  + 7

HURRY PLS!!!!!The heights, in feet, of the trees for sale at two nurseries are shown below. Yard Works: 7, 9, 7, 12, 5 The Grow Station: 9, 11, 6, 12, 7 Which statements are true regarding the measures of center and variability of these data sets? Select three choices. The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Grow Station. The median of the tree heights at Yard Works is greater than the median of the tree heights at The Grow Station. The range of the tree heights at Yard Works is greater than the range of the tree heights at The Grow Station. The mean absolute deviation of the tree heights at Yard Works is greater than the mean absolute deviation of the tree heights at The Grow Station. The mean absolute deviation of the tree heights at Yard Works is equal to the mean absolute deviation of the tree heights at The Grow Station.

Answers

The statement first, statement third, and the statement fifth are correct because the mean absolute deviation are the same.

What is mean absolute deviation?

It is defined as the measure to show the variation in data set in other words between the mean and every data value, the distance known as the MAD.

We have data:

Yard Works: 7, 9, 7, 12, 5

Grow Station: 9, 11, 6, 12, 7

The mean for yard works = 40/5 = 8

The mean for grow station = 45/5 = 9

The mean absolute deviation for yard work = 2

The mean absolute deviation for grow station = 2

The correct statements are:

The mean of the tree heights at Yard Works is less than the mean of the tree heights at The Growth Station.The range of the tree heights at Yard Works is greater than the range of the tree heights at The Growth Station. The mean absolute deviation of the tree heights at Yard Works is equal to the mean absolute deviation of the tree heights at The Growth Station.

Thus, the statement first, statement third, and the statement fifth are correct because the mean absolute deviation are the same.

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Answer: A, C, E.

Step-by-step explanation: I got it right on the test

what’s the answer to this problem , figure out the area and perimeter of this triangle please and thank you

Answers

Answer:

P=2.66m

A=.3318m

Step-by-step explanation:

P=1.0+.79+.87

A=.79 * .84

To solve 1/4÷8, Jordan thinks of dividing a pancake into 4 equal parts, dividing one of those parts into 8 equal pieces, and then eating one of those pieces.

What fraction of the pancake is Jordan thinking about eating?

Enter your answer as a fraction in simplest form by filling in the boxes

Answers

Answer: 1/32

Step-by-step explanation:

1st step:  1/4 divided by 8, which is 1/4 divided by 8/1

Then for the 2nd step, you have to find the reciprocal of the 2nd fraction, so you just reverse it

2nd step:  1/4 X 1/8

3rd step.  1X1/4X8 = 1/32

You can also think of it like this.  He started with 4 pieces.  Each piece was then divided into 8 parts.  So 8X4=32 is the total number of pieces.  He's only eating 1 of those, so he's only eating 1/32.

Answer:

1/32

Step-by-step explanation:

[tex]\displaystyle \frac{\frac{1}{4}}{8}=\frac{1}{4*8}=\frac{1}{32}[/tex]

So, Jordan is thinking about eating 1/32nd of the pancake

Luca made a scale drawing of the auditorium. in real life, the stage is 45 feet long. it is 18
inches long in the drawing. what is the scale of the drawing?

Answers

Answer:

30:1

Step-by-step explanation:

45*12 = 540

540/18 = 30

help me please please

Answers

Answer:

see below

Step-by-step explanation:

Standard equation for a circle with center h,k and radius r

(x-h)^2 + (y-k)^2 = r^2

so for this one   center =  (1,2)   radius = 4

Sebastian is going to choose design elements that include color, pattern, font, and image for the design of a sweatshirt for his dance team. There are 10 colors, 14 patterns, 12 fonts, and 9 images for him to choose from. (He will choose only one of each.)
How many different sweatshirt designs are possible?

Answers

Answer:

Sebastian is going to choose design elements that include color, pattern, font, and image for the design of a sweatshirt for his dance team. There are 10 colors, 14 patterns, 12 fonts, and 9 images for him to choose from. (He will choose only one of each.)

How many different sweatshirt designs are possible?

Step-by-step explanation:

It's 4320

The diameter of a circle is 26 millimeters. What is the circle's circumference?

Answers

Step-by-step explanation: the answer for this question should be 81.64 because to find the circumference you need to know the circumference formulas which is  C=TT times d or          C= 2 times TT times r.

C= 3.14 times 26          C= 2 times 3.14 times 13

                                       C= 81.64

C= 81.64

so the answer is 81.64 for the circle's circumference so hopefully that is the correct answer and have a great day

                       

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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

             The diameter of a circle is 26 mm. Find its circumference.

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

C=81.7mm

[tex]\blue{\textsf{\textbf{\underline{\underline{How to solve:-}}}}[/tex]

[tex]\implies{\sf{Circumference \:of \:a \:circle:\bigstar\:\:\:C=\pi d}}}[/tex]

Where:

C=Circumference

π=pi

d=diameter

Provided information:

d=26 mm

Plug in the values:

[tex]\bf{C=26\pi }[/tex]

Multiply & round:

[tex]\bf{C=81.7mm}[/tex]

Good luck.

         

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Find an angle
x where sin x = COS x.

Answers

Answer:

[tex]x = \frac \pi4 + k\pi (k \in \mathbb{Z})[/tex]

Step-by-step explanation:

If [tex]cos\ x = 0 \rightarrow sin\ x = \pm1[/tex], which is obviously not a solution. At this point we can divide both sides by [tex]cos\ x[/tex] to get

[tex]\frac {sin\ x}{cos\ x} = 1 \rightarrow tan\ x = 1[/tex]

which has solutions [tex]x = \frac \pi4 + k\pi (k \in \mathbb{Z})[/tex]

does somebody know how to do this??​

Answers

Answer:

95

Step-by-step explanation:

65+66+90+95=316

316/4=79

identify b on the following diagram not really important but 8 would love for someone to help me​

Answers

Answer: A origin

Step-by-step explanation:

please help! click to see the picture

Answers

Answer:
Inequality 7n - 22 >= 64
Solution   7n > = 64 + 22
                7n >= 86
                  n => 12. 28 rounded down to 12
                     Grace must wash at last 12 cars

Simplify Negative 3 over 2 divided by 9 over 6.

−4
−1
4
1

Answers

BEST ANSWER :

(( -3/2 ) 9 ) / 6.

= -0.02777777777

find the value using x

Answers

Answer:  8

Work Shown:

9/12 = (x+4)/(2x)

9(2x) = 12(x+4)

18x = 12x+48

18x-12x = 48

6x = 48

x = 48/6

x = 8

100 POINTS!! ANSWER CORRECT
The information in the table shows the average weekly temperatures in degrees Fahrenheit of four cities.

Which city’s data set is bimodal?
A. City A
B. City B
C. City C
D. City D

Answers

Answer:

City B

Step-by-step explanation:

Because it is the only one that makes sense.

i think the answer is b

These proteins identify and lock on to an antigen (pathogen) and then tell other parts of the body to destroy the germ

A. T Cells

B. Phagocytes

C. Antibodies

D. Lymphocytes

Answers

Answer:

Answer is D.

Lymphocytes.

Explanation.

How Does the Immune System Work? When the body senses foreign substances (called antigens), the immune system works to recognize the antigens and get rid of them. B lymphocytes are triggered to make antibodies (also called immunoglobulins). These proteins lock onto specific antigens.

Please Vote Me Brainliest. Thank You.

A sweater is $45 and 10% off. What is the discount? HTML EditorKeyboard Shortcuts

Answers

Answer:

Discount  = $4.50
Discounted Price = $40.50

Step-by-step explanation:

First you need to find what 10% of $45 is. To do that you need to divide $45 by 10 or just move the decimal point one space to the left. The answer would be $4.50. Then, you need to subtract $4.50 from $45 as we are calculating the discounted price. The answer would be $40.50.

Equation:
$45 ÷ 10 = $4.50 (discount)
$45 - $4.50 = $40.50 (discounted price)

URGENT HELP
The Hiking Club plans to go camping in a State park where the probability of rain on any given day is 66%. What is the probability that it will rain on exactly one of the five days they are there? Round your answer to the nearest thousandth.
Question 2 options:

.362

.227

.044

.109

Answers

Answer:

.82^5 = ? I dont think it helps

Step-by-step explanation:

Is the following linear or nonlinear?
m = n 2 - 7n - 54
a) linear
b) nonlinear
I NEED HELP ASAP

Answers

====================================

[tex]\large \sf \underline{Problem:}[/tex]

Is the following linear or nonlinear?

m = n 2 - 7n - 54

a) linear

b) nonlinear

====================================

[tex]

\large \sf \underline{Answer:}[/tex]

A. Linear

====================================

[tex]\large \sf \underline{Explanation:}[/tex]

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y).

====================================

is the equation y=1/7x an example of direct variation

Answers

Answer:

no

Step-by-step explanation:

k=1(constant)

y varies inversely with x

3. If A and B are complements, then which of the following is true about the probability of B based on the probability of A?
(1) P(B)=P(A)+1
(3) P(B) =1/P(A)
(2) P(B)=1-P(A)
(4) P(B)=P(A)-1

Answers

Answer:   P(B)=1 - P(A)

Reason:

Complementary events have their probabilities add to 1.

P(A)+P(B) = 1

P(B) = 1 - P(A)

For example,

P(A) = the chance it rains = 30% = 0.30

P(B) = the chance it doesn't rain

P(B) = 1 - P(A) = 1 - 0.30 = 0.70 = 70%

The equation that relates the probability of A and B is P(B) = 1 - P(A).

What is Probability?

A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1.

As per the given data:

We are given two events, event A and event B.

We are also given the relationship between the two events.

It's given that A and B are complements of each other.

Let's assume that the probability of the event B is P(B).

The sample space for this situation when only 2 events are there will be

(A, B)

We are given that A and B are complements of each other.

This means that the complement of A is equal to the probability of event B.

P(A') = 1 - P(A)

P(B) = P(A')

∴ P(B) = 1 - P(A)

The equation that relates the probability of A and B is P(B) = 1 - P(A).

Hence, The equation that relates the probability of A and B is P(B) = 1 - P(A).

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wow lashes is a false eyelashes company. the companymade $50,000 in 2021. they have already sold enough lashes this year to make $5,500 in profit. this year, they plan to sell at least 800 more packs of lashes than the previous year. each pack of lashes makes the company $12

Answers

Answer:

whats the question

Step-by-step explanation:

What is the area of the rectangle?
2 om
3 cm
А
6 cm
B
23 cm
с
17 cm
D
31 cm

Answers

Length=L=3cmBreadth=B=2cm

Area

Length ×Breadth3(2)6cm²

find the area of the shaded region, round to the nearest tenth. I will give brainliest

Answers

Answer: 17.4

Step-by-step explanation: Area of a Square

Area of a rectangle = s².

s is the side length.

Area of Circle

4 quarter circles equals a full circle.

Area of a full circle = πr².

There are four quarter circles in the diagram given, therefore:

Area of the shaded region = area of square - area of full circle

= 9² - π(4.5²)

= 17.38.

Therefore, the area of the shaded region, to the nearest tenth, is about: 17.4 m².

Learn more about area on:

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(8-b) + (5b + 6) what is the answer?

Answers

Answer: [tex]4b+14[/tex]  

[tex]2*(2b+7)[/tex]

Step-by-step explanation:

[tex](8-b)+(5b+6):8-b+5b+6[/tex]

[tex]-b+5b+8+6[/tex]

[tex]-b+5b+14[/tex]

[tex]=4b+14[/tex]

Therefore your answer is [tex]2*(2b+7)[/tex], in other words, 4b+14

direction. The number b varies directly with the number a. For example b = 2 when a = -2
-2. Which equation
=
4
represents this direct variation between a and b?
b = -a
-b = -a
ОООС
b-a= 0
b(-a) = 0

Answers

Answer:

b = - a

Step-by-step explanation:

given b varies directly with a then the equation relating them is

b = ka ← k is the constant of variation

to find k use the condition b = 2 when a = - 2 , then

2 = - 2k ( divide both sides by - 2 )

- 1 = k

then

b = - a ← equation of variation

Simplify the expression

Answers

Step-by-step explanation:

[tex] \frac{ \cos(x) }{1 + \sin(x) } + \frac{ \cos(x) }{1 - \sin(x) } [/tex]

[tex] \frac{ \cos(x)(1 - \sin(x) + \cos(x) (1 + \sin(x)) }{1 + \sin(x))(1 - \sin(x) ) } [/tex]

[tex] \frac{ \cos(x) - \cos(x) \sin(x) + \cos(x) + \cos(x) \sin(x) }{1 - \sin {}^{2} (x) } [/tex]

[tex] \frac{2 \cos(x) }{ \cos {}^{2} (x) } [/tex]

[tex] \frac{2 \cos(x) }{ \cos(x) \cos(x) } [/tex]

[tex] \frac{2}{ \cos(x) } [/tex]

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