On an exam, Mafuyu scored in the 20th percentile. If there were 50 students in the class, how many students scored lower than he did?

Answer:

36

Step-by-step explanation:

Area of a triangle = A = hb x b

A = 12 x 7 = 84                    2

84/2 = 42

rectangle area = l x w

2 x 3 = 6

42 - 6

36

The  ability to be able to decide which prints she could order is to look at the environment especially the empty space and then visualize what is missing and what best to fit in.

Similar figures are known to be figures that are said to be of the same shape.  They are known to have the same exact size, or one may be bigger than the other.

Note that when two shapes are similar, it is said that their corresponding angles are often same.  The angles are also known to be the same because the shape is still of the same shape and as such one can be able to tell from the way or order of the similarity based on the way that the angles match up and also in the scenario above.

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Answer:

First we need to determine what cos is asking for.  Using Soh Cah Toa we can tell that we are using adjacent (a) and hypotenuse (h).  The leg that is adjacent to Q is equal to 10 while the hypotenuse is equal to 21.

[tex]cos(Q)=\frac{adjacent}{hypotenuse}[/tex]

[tex]cos(Q) = \frac{10}{21}[/tex]

After getting to this part, we have to take the inverse of cos in order to cancel the cos on the left and leave Q by itself.

[tex]cos^{-1}(cos(Q))=cos^{-1}(\frac{10}{21})[/tex]

[tex]Q = 61.56\ degrees[/tex]

In the end we are left with that our angle Q is equal to 61.56 degrees.

Hope this helps!  Let me know if you have any questions

Ok then im doing the 3rd one:

Area of a parallelogram =b.h

[tex]11 \frac{3}{4} \times 8 \frac{1}{3} \\ = 11.75 \times 8.33 \\ = 97.8775 \\ = \boxed {97.9}[/tex]

Answer:

  g(x) = -x +1

Step-by-step explanation:

The transformation that reflects f(x) across the y-axis is replacement of x with -x.

__

For f(x) = x +1, replacement of x with -x will perform the desired transformation:

  g(x) = f(-x) = (-x) +1

  g(x) = -x +1

Reflection across y axis rule

so x turns negative

new one is

g(x)=f(-x)

Answer:

c/6 or c divided by 6

Step-by-step explanation:

The square pyramid with a base with edges of 6 inches and slant height of 4 inches have a surface area of 84 in².

The net of the square pyramid have a base of 6 inches and the height of each triangle is 4 inches.

An equation is an expression that shows the relationship between two or more numbers and variables.

The square pyramid with a base with edges of 6 inches and slant height of 4 inches. Hence:

Surface area = (6 * 6) + 2(6 * 4) = 84 in²

The net of the square pyramid have a base of 6 inches and the height of each triangle is 4 inches.

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Answer:

The first answer is 2x + 5

The second answer is 19

Answer:

The required number of cups of frozen mango is 1.125.

Step-by-step explanation:  Given that a smoothie recipe calls for cups of frozen mango and the recipe serves two.

We are to find the number of cups of frozen mango that is needed to serve one.

We will be using the UNITARY method to solve the problem.

We have

The number of cups of frozen mango that needs to serve two is

Therefore, the number of frozen mango that needs to serve one is given by

Thus, the required number of cups of frozen mango is 1.125.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

x is 9 assuming they are identical triangles.

8.1. If x is the distance from P to the flagpole and h is the height of the flagpole, then

tan(53°) = h/x

tan(28°) = h/(x + 20)

Solve for the first equation for h in terms of x :

h = x tan(53°)

Substitute this into the second equation and solve for x :

tan(28°) = x tan(53°) / (x + 20)

(x + 20) tan(28°) = x tan(53°)

x tan(28°) + 20 tan(28°) = x tan(53°)

x (tan(28°) - tan(53°)) = -20 tan(28°)

x = 20 tan(28°) / (tan(53°) - tan(28°))

x ≈ 13.4 m

8.2. By the law of cosines,

BD² = 7² + 11² - 2 • 7 • 11 cos(110°)

⇒   BD = √(170 - 154 cos(110°))

⇒   BD ≈ 14.9 cm

and

BC² = BD² + 16² - 2 • BD • 16 cos(40°)

⇒   BC = √(426 - 154 cos(110°) - 32 cos(40°) √(170 - 154 cos(110°)))

⇒   BC ≈ 10.6 cm

Now use Heron's formula. If S is the semiperimeter of ∆ABD and S' is the semiperimeter of ∆BCD, i.e.

S = (AB + BD + AD)/2 ≈ 16.5 cm

S' = (BC + CD + BD)/2 ≈ 20.7 cm

then

area ∆ABD = √(S (S - AB) (S - BD) (S - AD)) ≈ 36.2 cm²

and

area ∆BCD = √(S' (S' - BC) (S' - CD) (S' - BD)) ≈ 76.7 cm²

so that the total area of ABCD is approximately 112.9 cm².

Answer:

in my wisdom i think x=60 and y=60

Step-by-step explanation:

x + 5 = 3x -12 + 5

x + 5 = 3x - 7

Subtract 5 from both sides....

x + 5-5 = 3x -7 - 5

x = 3x - 12

Change the sign ...

12 = 3x - x

12 = 2x

12/2 = x

x = 6

hence 6 is the answer.......

[tex]\large\textsf{\textbf{Answer\::}}[/tex]

x=6

[tex]\large\textsf{\textbf{Calculations\::}}[/tex]

First , use the Distributive Property :

x+5=3(x-4)+5

x+5=3x-12+5

x+5=3x-7

subtract 3x on both sides :

x-3x+5=-7

-2x+5=-7

Subtract 5 on both sides :

-2x=-7-5

-2x=-12

divide by -2 on both sides :

x=6

We've found the value of x : x = 6 .

[tex]\footnotesize\text{hope\:helpful~}[/tex]

Answer:

24 ways

Step-by-step explanation:

By the Fundamental Counting Principle,

Number of permutations = 4 ⋅ 3 ⋅ 2 ⋅ 1

= 4!

= 24

There are 24 different ways the teacher can order the student presentations.

The standard deviation is a measure of a collection of values' variance or dispersion. The true mean bill for a customer at Burger Palace with 95% confidence is $13.38.

The standard deviation is a measure of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.

Given that the Sample mean ([tex]\overline x[/tex]) is $14.30, the Sample size(n) is 24 customers, the Standard deviation(σ) is 2.30, while for a 95% confidence interval the Z-score is 1.960. Therefore, the true mean can be written as,

[tex]Z = \dfrac{\overline x- \mu}{\frac{\sigma}{\sqrt n}}\\\\\\1.960 = \dfrac{14.30-\mu}{\frac{2.30}{\sqrt{24}}}\\\\\\1.960 = \dfrac{14.3-\mu}{0.47}[/tex]

μ = 13.3788 ≈ 13.38

Hence,  the true mean bill for a customer at Burger Palace with 95% confidence is $13.38.

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Answer:

Check the proof below

Step-by-step explanation:

try to verify from RHS to LHS

(Tan a + tan b) / (tan a - tan b)

= (sin a / cos a + sin b /cos b) / ( sin a/ cos a - sin b/ cos b)

= (sin a cos b + cos a sin b)/ (sin a cos b - cos a sin b)

= sin (a+b) / sin (a-b)

Fyi

sin(A+B) = sinAcosB+cosAsinB

sin(A-B) = sinAcosB-cosAsinB

Answer:

The two integers should be 3 and 1

Answer:

Step-by-step explanation:

a = 180 - 112

= 68 degrees (adjacent angles)

The value of   [tex]\dfrac{ 2}{3} log(6400) - \dfrac{1}{3} log(1600)[/tex]  in terms of s will be

[tex]\dfrac{2}{3}(400s)-\dfrac{1}{3}(1000s)[/tex]

A quantity representing the power to which a fixed number (the base) must be raised to produce a given number.

Here we have the expression:-

[tex]\dfrac{ 2}{3} log(6400) - \dfrac{1}{3} log(1600)[/tex]

So in terms of s the expression will become:-

[tex]\dfrac{2}{3}(400s)-\dfrac{1}{3}(1000s)[/tex]

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Answer:

3. B

Step-by-step explanation:

Answer:

27 degress; complementary

Step-by-step explanation:

complementary is when is adds up to 90 and you need 27 more degrees to make it 90

Answer:27 degrees

Step-by-step explanation:

just need points

Answer:

it should be c

Step-by-step explanation:

Answer:

7/75

Explantion:

To get the answer as a fraction you must first have a common denominator

so . .

105 is a common denominator

So . .

Multiply 5/7 by 15

Multiply 1/15 7

This comes out as

Divide = 7/75

Answer:

x = -2

Step-by-step explanation:

Given

Solving

Add 3 to each side.

Subtract 5x from each side.

We are given that, a computer can sort x objects in t seconds, and the below relations is satisfied for each x and t

For 12 objects, we can substitute x = 12

⇒ t = (3/1000) (12)² + (1/1000) 12

⇒ t = (12/1000) (3 × 12 + 1)

⇒ t = (12×37/1000)

⇒ t = 444/1000

⇒ t = 0.444

⇒ t ≈ 0.40 seconds (2 dp)

Answer:

(-4,3)

Step-by-step explanation:

the coordinate (4,-3) is just at the 4th quadrant in which the value of x is positive and the value of y is negative

the quadrant (4,3) is on the first quadrant and the value expressed with the letter A

the coordinate (-4,-3) is a coordinate on the quadrant in which both values are negative

Answers:

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Explanations:

Answer:

let the first number and second number be x+1 and x+3 respectively

Answer:

10ad+8ac

Step-by-step explanation:

I know trust me.

Total amount in the reservoir = amount of water in the 10th month - (rate of decline x number of months from the 10th month)

Rate of decline = (300  262) / (18 - 10) = 4.75

y = 300 million = 4.75x

Where x is the time of the month.

Total amount in the reservoir = amount of water in the 10th month - (rate of decline x number of months from the 10th month)

300 million - (4.75 x 4) = 281 million

0 = 300 - (4.75x)

x = 300 / 4.75

x = 63.16 days

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