Quadrilateral ABCD is a rhombus.
AD = 13 cm & BD = 24 cm,

find AC

Answer: 28

When you simplify it down, you get:

8 + 9 - 12 - 5 + 28.

When you combine all like terms, you get 28.

Also, proof is shown in the image below.

The value of the expression 2³ + 3² – 3 x 4 – 5² ÷ 5 + (7 x 4) using PEMDAS rule is 28.

We have,

Expression:

2³ + 3² – 3 x 4 – 5² ÷ 5 + (7 x 4)

Using the PEMDAS rule.

Remove the parenthesis.

2³ + 3² – 3 x 4 – 5² ÷ 5 + 28

Simplify the exponents such as 2³, 3², and 5².

8 + 9 - 3 x 4 - 25 ÷ 5 + 28

Simplify the multiplication such as 3 x 4.

8 + 9 - 12 - 25 ÷ 5 + 28

Simplify the division such as 25 ÷ 5.

8 + 9 - 12 - 5 + 28

Simplify the addition and subtraction.

28

Thus,

The value of the expression is 28.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Answer:

Zstatistic < Zcritical ; then we reject the null

-0. 790 > - 1.96

Hence, we fail to reject the Null

Step-by-step explanation:

Define the null and alternative hypothesis :

H0 : μ = 421

H1 : μ < 421

Given that :

Sample mean (x) = 416

Sample standard deviation, s = 29

α = 0.025

Sample size, n = 21

This is a lef tailed teast, hence if ;

Decision Rule :

Zstatistic < Zcritical ; then we reject the null

Zcritical at α = 0.025 (1 tailed) = - 1.96

Zstatistic = (x - μ) s/sqrt(n)

(416 - 421) / 29/sqrt(21)

Zstatistic = - 5 / 6.3283188

Zstatistic = - 5 / 6.3283188 = - 0.79

-0. 79 > - 1.96

Hence, we fail to reject the Null

Answer: the bridge is 11.025 m high

Step-by-step explanation:

Given that;

Time taken to hit the water t = 1.5 sec

height of bridge = ?

lets take a look at the equation of motion;

y(t) = y₀ + (1/2)at²

with initial velocity zero and we know that acceleration due to gravidity is 9.8m/s

we substitute

y(t) = (1/2)gt² = (1/2) × 9.8 × (1.5)²

y(t) = (1/2)gt² = (1/2) × 9.8 × (1.5)²

y(1.5) = 11.025 m

Therefore, the bridge is 11.025 m high

Answer:

29.92 miles per hour

87,089.76 metric tonnes

Step-by-step explanation:

Given that the top speed is 26 knots, recall that

1 knot = 1.15078 miles per hour

Hence,

26 knots = 26 * 1.15078

= 29.92028 miles per hour

To 2 decimal places

=29.92 miles per hour

Given that the boat has a  displacement of approximately 96000 tons, in metric tonnes...

Recall that

1 ton = 0.907185 metric tonnes

As such,

96000 tons = 0.907185 * 96000

= 87,089.76 metric tonnes

Answer:

Answer:

put 37, 22,59,35,6,41,72,28,100 in chart < That is for the ppl who cant click on the brainly site but it still shows alitttle

For the ppl who can click on brainly:

Part A:

Like Cupcakes

Do Not Like Cupcakes

Total

Like Brownies

37

22

59

Do Not Like Brownies

35

6

41

Total

72

28

100

Part b: 6

Part c: You really have to figure out how to word this 37- 72=35 35-41=6

hope it helps

Answer:

The sensitivity rate of the test is 88%.  For its part, the specificity rate of the test is 91%.

Step-by-step explanation:

The sensitivity of a medical test is its ability to detect positive cases of the disease, while the specificity of the test is its ability to detect negative cases.

In total, there are 270 cases:

-80 positives

-10 false negatives

-15 false positives

-165 negatives

Thus, to calculate both concepts, the following calculations must be performed:

Sensitivity = positives / (positives + false negatives)

X = 80 / (80 + 10)

X = 80/90

X = 0.88

Thus, the sensitivity rate of the test is 88%.

Specificity = negatives / (negatives + false positives)

X = 165 / (165 + 15)

X = 165/180

X = 0.91

For its part, the specificity rate of the test is 91%.

Answer:

a. Using the GCF and the Distributive Property to find the total number of stamps Mia, Alex, and Michael have:

28 + 49 + 77 = 154

= 7*4 + 7*7 + 7*11

= 7 (4 + 7 + 11)

= 7 (22)

= 154

Step-by-step explanation:

a) Data and Calculations:

Number of stamps that Mia has = 28

Number of stamps that Alex has = 49

Number of stamps that Michael has = 77

GCF = 7

b) GCF = Greatest common factor.  The distributive property shows that multiplying two numbers (factors) together will result in the same thing as breaking up one factor into two addends, multiplying both addends by the other factor, and adding together both products.  The knowledge of GCF and the distributive property helps to change expressions from standard forms to factored forms.

Answer:

6

Step-by-step explanation:

10, 10, 10, 10, 10, 10. Those are 6 tens

Answer:

46

Step-by-step explanation:

230 divided by 5

Answer:

(7,2)

45 units squared

Step-by-step explanation:

In order for the shape to be a rectangle the last vertex (lets call it D) must be the same vertical distance from C as A is from B (DC=AB), and the same horizontal distance from A as B is from C (AD=BC).

AB=DC=5

    -3+5=2

BC=AD=9

     -2+9=7

Therefore D is (7,2)

We already know the side lengths (5 and 9). Area is length by width. Therefore area = 5x9=45

Answer:

2,3,5,6

Step-by-step explanation:

Answer:

2,3,5,6 just did test and im from future edge 2023

Step-by-step explanation:

Answer:

They would weigh 47.5 pounds on the moon or if you want to use kilograms it would be 21.5 kilograms.

Step-by-step explanation:

Pound way If you want to find the answer in pounds you first want to add 175 and 110 to get 285. Next you divide it by 6 because you want to find 1/6 of it and you should get 47.5 pounds.

Kilogram way If you want to find the answer in kilograms you would first add 79 and 50 to get 129. After you find that, you would divide it by 6 because you want to find 1/6 of it. You should get 21.5 so 21.5 kilograms would be your answer.

I apologize if I made any mistakes.

Answer:

[tex]r=\frac{5}{9}(y-32)[/tex]

Step-by-step explanation:

The Celsius scale was developed by Swedish astronomer Andres Celsius in 1742. It is used to measure temperature in degree Celsius in which 0 degrees represents the freezing point of water, and 100 degrees represents boiling point of water at the standard atmosphere.

The Fahrenheit scale was proposed in 1724 by the physicist Daniel Gabriel Fahrenheit. It is used to measure temperature in degree Fahrenheit in which 32°F represents the freezing point of water, and 212°F represents boiling point of water at the standard atmosphere.

Let r represent the temperature in degrees Celsius and y represent the temperature in degree Fahrenheit. The relationship between r and y is:

[tex]\frac{r-freezing\ point(^oC)}{boiling\ point\ (^oC)-freezing\ point(^oC)} =\frac{y-freezing\ point(^oF)}{boiling\ point\ (^oF)-freezing\ point(^oF)} \\\\Substituting:\\\\\frac{r-0}{100-0}=\frac{y-32}{212-32}\\\\\frac{r}{100} =\frac{y-32}{180}\\\\r= \frac{y-32}{180}*100\\\\r=\frac{5}{9}(y-32)[/tex]

Answer:

Step-by-step explanation:

when x=5, 4(5)-3y=18

                        3y=2

                          y=2/3

The coordinate would be(5,2/3)

Answer:

A because there isnt a mode, hope this helps\

Answer:

Step-by-step explanation:

Jenny planned to solve 2/3 of homework

On Saturday she solved 28 problems, which is 7/8 of the planned number

Planned number is:

Jenny's homework was:

Answer:

48 problems

Step-by-step explanation:

trust me, I do RSM too.

Answer:

Acute

Step-by-step explanation: Acute because it is less than a 50 degree angle and under that is considered an acute angle.

Answer:

2517

Step-by-step explanation:

1,509 were men, 1,866 were women 1,509 + 1,866 = 3,375

3,375 were adults, 4,233 total people 4,233 - 3,375 = 858

858 were children, 3,375 -  858 = 2517

Answer:

13 will the answer of this qn

Answer: b

Step-by-step explanation:

Answer:

The fourth option i.e. 'no solution' is correct.

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ -\frac{2}{3}x-y=2\end{bmatrix}[/tex]

Adding both equations

[tex]-\frac{2}{3}x-y=2[/tex]

[tex]+[/tex]

[tex]\underline{\frac{2}{3}x+y=6}[/tex]

[tex]0=8[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ 0=8\end{bmatrix}[/tex]

0 = 8 is FALSE!

Therefore, the system of equations has no solution.

Thus,

No Solution!

Hence, the fourth option i.e. 'no solution' is correct.

Step-by-step explanation:

[tex]6.[/tex]

[tex] \frac{1}{2} = \frac{1.5}{3} \: \: \: \: \: Less \: \: Than \: \frac{2}{3} [/tex]

[tex] \frac{8}{12} = \frac{2}{3} \: \: \: \: \: Equal \: \: To \: \frac{2}{3} [/tex]

[tex] \frac{3}{8} = \frac{1.125}{3} \: \: \: \: \: Less \: \: Than \: \frac{2}{3} [/tex]

[tex] \frac{10}{15} = \frac{2}{3} \: \: \: \: \: Equal \: \: To \: \frac{2}{3} [/tex]

[tex] \frac{4}{5} = \frac{2.4}{3} \: \: \: \: \: Greater \: \: Than \: \frac{2}{3} [/tex]

[tex] \frac{9}{10} = \frac{2.7}{3} \: \: \: \: \: Greater \: \: Than \: \frac{2}{3} [/tex]

[tex]7.[/tex]

[tex]Kenny = \frac{1}{8} [/tex]

[tex]Gail = \frac{2}{4} [/tex]

[tex] \frac{1}{8} ? \frac{2}{4} [/tex]

[tex]\frac{1}{8} ? \frac{2 \times 2}{4 \times 2} [/tex]

[tex] \frac{1}{8} < \frac{4}{8} [/tex]

[tex] \frac{1}{8} < \frac{2}{4} [/tex]

[tex]Gail \: \: ate \: \: more \: \: than \: \: Kenny[/tex]

Answer:

9/p+6

Step-by-step explanation: