Use the elimination method to solve the system of equations.Choose the correct ordered pair. -x + y -2 , 2x -3y = 4​

Answer:

66 m².

Step-by-step explanation:

From the question given above, the following data were obtained:

Diagonal 1 (d₁) = 11 m

Diagonal 2 (d₂) = 12 m

Area (A) =?

The area of a rhombus when the diagonals are given can be obtained as follow:

A = ½(d₁d₂)

A = ½ × (11 × 12)

A = ½ × 132

A = 66 m²

Thus, the area of the rhombus is 66 m²

Answer:

[tex]25\sqrt{3}=43.3\ \mathrm{units}[/tex]

Step-by-step explanation:

Area of a triangle = [tex]\frac{1}{2}ab\textrm{sin}(\theta)[/tex] where [tex]a[/tex] and [tex]b[/tex] are the sides of the triangle and [tex]\theta[/tex] is the angle between those two sides.

The side length are 10, and since its an equilateral triangle, the angle is 60 degrees. Thus, the area becomes [tex]\frac{1}{2}(10)(10)\textrm{sin}(60)=25\sqrt{3}=43.3\ \mathrm{units}[/tex]

Answer:

C

Step-by-step explanation:

6 * 5 = 30

3*4 = 12

30 + 12 = 42

42 does not equal 18

Answer:

The answer is C. (5,4)

Step-by-step explanation:

have a great day.

Answer:

y=x is a function!

Step-by-step explanation:

The reason it is a function is because it can create a:

A slope

A why y and x intercept

and a graph

Remember that x=1 and Y=1 ALWAYS

Answer:

0.0051 = 0.51% probability that the thickness is less than 3.0 mm

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 4.8 millimeters (mm) and a standard deviation of 0.7 mm.

This means that [tex]\mu = 4.8, \sigma = 0.7[/tex]

(a) Probability that the the thickness is less than 3.0 mm

pvalue of Z when X = 3. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3 - 4.8}{0.7}[/tex]

[tex]Z = -2.57[/tex]

[tex]Z = -2.57[/tex] has a pvalue of 0.0051

0.0051 = 0.51% probability that the thickness is less than 3.0 mm

Answer:

1 1/8 cups of flour are required to bake 1 1/2 batches of cookies.

Step-by-step explanation:

Given that a recipe for 1 batch of cookies calls for 3/4 cup of flour, to determine how much flour is required to bake 1 1/2 batches of cookies, the following calculation must be performed:

3/4 = 0.75

1/2 = 0.5

1 = 0.75

1.5 = X

1.5 x 0.75 / 1 = X

1.125 = X

0.125 = 1/8

Thus, 1 1/8 cups of flour are required to bake 1 1/2 batches of cookies.

Answer:

3/10

Step-by-step explanation:

then after reducing you get 3/10

The area of the rectangular plaza is 12/40 square miles or 0.3 square miles if the rectangular plaza measures 3/8 mile by 4/5 mile.

It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

We have a rectangular plaza that measures 3/8 mile by 4/5 mile.

Here the length L = 3/8

And width W = 4/5

Area of rectangular plaza = L×W = (3/8)×(4/5)

= 12/40 square miles or

= 0.3 square miles

Thus, the area of the rectangular plaza is 12/40 square miles or 0.3 square miles if the rectangular plaza measures 3/8 mile by 4/5 mile.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ2

Answer:

hfgf td utdu6kjyyyudytdcyu6   vfhdutd,ld

Step-by-step explanation:

1. The value of A, the Net Salary received by Mr. Makatle is R 5,369.49 (R8,236,00 - R 2 866,51), which is the gross pay minus total deductions.

2. The UIF contribution of R82.36 was calculated as 1% of R8236,00 (R 8,236 x 1%).

3. Mr. Makatle's claims that the cumulative medical contributions indicated on his pay advice are incorrect are valid.

The cumulative medical contributions for the year are supposed to total R 17,640 (R 1 764,00 x 10) instead of R 6,177.00, which represents the pension's cumulative contributions.

4. Mr. Makatle's monthly tax contribution as a percentage of his gross salary is 4.8865%.

Tax contribution = R 402.45

Gross monthly salary = R 8 236

Percentage of tax contribution to gross salary = 4.8865% (R402.45/R8,236 x 100)

5. For question 2, we can use the rates computed from Mr. Makate's salary advice to calculate Danielle's net pay for the year.

Basic Salary                        FR 45 600,50

PAYE                                        R 2,228.27 (4.8865%)

UIF                                               R 456.01 (1%)

Pension Fund                        R 3 420. 04 (7.5%)

Medical Aid contribution        R 9,766.72  (21.418%)

TOTAL DEDUCTIONS           R 15,871.04

NET SALARY                       R 29,729.46

The net pay is the difference between a salary earner's gross income and the deductions made before the payment of salary.

The net pay represents the amount that the salary earner goes home with.

The net pay is also known as the take-home pay.

Mr. Paul Makatle is an employee at a clothing factory The following deductions are made from his gross monthly salary:

• 7,5% of his gross monthly salary for pension fund contributions

• UIF (Unemployment Insurance Fund) of 1% of his gross monthly salary

• PAYE (Pay as you earn) tax as per tax bracket

Use the salary advice below that Mr. Makatle receives for December 2020 to answer the questions that follow.

Basic Salary                        R 8 236,00

PAYE                                      R 402.45 (4.8865%)

UIF                                           R 82,36 (1%)

Pension Fund                        R 617,70 (7.5%)

Medical Aid contribution  R 1 764,00  (21.418%)

TOTAL DEDUCTIONS     R 2 866,51

NET SALARY                   R 5 369,49

GROSS SALARY IRP5 PARTICULARS-cumulative year to date:

R 82360,00

Total Employee's Tax R 6177.00

Medical Aid contr R 6,177.00

1. Determine the value of A, the NET salary received by Mr. Makatle

2. Show how the UIF contribution of R82.36 was calculated.

3. Mr. Makatle claims that the cumulative medical contributions indicated on his pay advice are incorrect. Verify, using calculations, whether his claim is valid

4. Calculate his monthly tax contribution as a percentage of his gross salary.

5. Calculate Danielle's net pay for the year, using Makatle's pay advice.

Learn more about gross and net salaries at https://brainly.com/question/25267964

Answer:

7 will be the answer.

Step-by-step explanation:

The angles are complementary angles i.e their sum is 90°.

(5a+3)°+52°=90°

5a+55°=90°

5a=90°-55°

5a=35°

a=35°/5

a=7

Answer:

Yuri made 947 more copies than Nathan.

Step-by-step explanation:

Since we are finding the difference from the amount Yuri and Nathan made, the operation is subtraction. Since Yuri made more copies, his number will go first: 1272-325. Then, we solve by subtracting the two numbers, and you should get 947.

Thus, Yuri made 947 more copies than Nathan.  

Answer:

100 in is the answer.

Step-by-step explanation:

a = 60 in

b = 80 in

c = ?

According to the Pythagorean theorem,

a² + b² = c²

60² + 80² = c²

3600 + 6400 = c²

c² = 10000

c = 100 in

∴ the distance between the opposite corners of the bed is 100 in

Answer:

22ft

Step-by-step explanation:

Given the height of Bills modeled by the function h(t) = -16t^2 + 128t.

To get his height after 5.5secs, we will replace t with 5.5 a shown;

h(t) = -16t^2 + 128t.

h(5.5) = -16(5.5)^2 + 128(5.5)

h(5.5) = =-484+704

h(5.5) = 220ft

Hence his height after 5.5secs is 22ft

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Answer: Yes because of x^2

Explanation:

I hope this helped!

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- Zack Slocum

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Answer

40.1

Area of a triangle using sine rule = 1/2 a b sinC

a and b are the two known sides, sinC is the angle opposite the unknown side

1/2 x 14 x 7 sin(125) = 40.1 to the nearest tenth

Hope this helps

Answer:

40.1

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

I beleive it is -1 but I could be wrong. Let me know if it is and I will try and correct it

Answer:

$15

Step-by-step explanation:

Answer:

4) 8

Step-by-step explanation:

Answer:

6 feet

Step-by-step explanation:

Formula: V=1/3Bh

V=1/3(4×4)6

V=1/3(16)6

V=1/3(96)

V=96÷3

V=32

(P.S.-The capital 'B' in the formula stands for the area of the square base)

Hope this helped :)

Answer:

7x+14=0, 7x=-14, x= -2

Step-by-step explanation:

add like terms, then get x on one side, number on the other, then divide both sides by 7

Answer:

0.875

Step-by-step explanation:

have a good day/night

may i please have banilliest

thank u

sorry if wrong

Step-by-step explanation:

Subtract a from both sides

a-a+b-___=a-a

b-__=0

b=___

answer:b

Hope that helps :)

It's b. It's a + b - b = a.

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Reflection across the x-axis just changes the signs of the y-coordinates. Rotation -120° about B' is difficult to do by hand. The transformation rule for that is ...

  (x, y) ⇒ (x·cos(-120°) +y·sin(-120°), -x·sin(-120°) +y·cos(-120°))

  (x, y) ⇒ ((-(x-3) +(y+2)√3)/2 +3, (-(x-3)√3 -(y+2))/2 -2)

__

It looks like your problem is presented in GeoGebra, which makes reflection and rotation easy.

complete question

study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving ( The Wall Street Journal , May 5, 2010). In October 2010, Massachusetts enacted a law that forbids cell phone use by drivers under the age of 18. A policy analyst would like to determine whether the law has decreased the proportion of drivers under the age of 18 who use a cell phone.a. State the null and the alternative hypotheses to test the policy analyst’s objective.

b. Suppose a sample of 200 drivers under the age of 18 results in 150 who still use a cell phone while driving. What is the value of the test statistic? What is the p-value?c. At α = 0.05 has the law been effective?

d. Repeat this exercise using the critical value approach with α = 0.05

Answer:

1. H0: p>=0.82

H1: p<0.82

2. z test statistic = -2.5767

3. the law has been effective

4. the null is rejected, the law has been effective

Step-by-step explanation:

1. hypothesis formulation

H0: p>= 0.82

H1: p< 0.82

2. p = 82% = 0.82

estimated p^ = x/n = 150/200 = 0.75

standard error calculation:

= √0.82(1-0.82)/200

= √0.82x0.18/200

= √0.02716615

Z test statistic calculation:

= 0.75-0.82/0.02716615

= -2.5767

3. this test is 1 tailed

the p-value using a p value calculator is = 0.004983

0.004983 < 0.05 so we Reject null and conclude that the law has been effective.

4. we Reject null at 0.05 if z is less than -1.645.

-2.5767<-1.645 so we Reject H0 and conclude law has been effective and there is a decrease in drivers under this age who use cell phones

Answer:

4

(if this is a joke then the answer's 5, a fish, etc...)

Answer:

4

Step-by-step explanation:

Answer:

32

You’re... welcome?

Answer:

32

Step-by-step explanation:

The guest column is increasing at a rate of 8, so naturally, the next number would be 32. The cookie column is increasing by 3.