A trapezium has two parallel sides of length 12.5 cm and 4.5 cm. It has a height of 7 cm.

What is the area?

Answer: The answers are provided below

Step-by-step explanation:

15. 7c + 8d + 2c + 17d

= 7c + 2c + 8d + 17d

= 9c + 25d

16. 4(2m - 3p) + 12m + 7p

= 8m - 12p + 12m + 7p

= 8m + 12m -12p + 7p

= 20m - 5p

17. (15j +9z) - (12j + 6z)

= 15j - 12j + 9z + 6x

= 3j + 15z

18. 3y + 6.7x + y + 2.3x +10 - 7

= 6.7x + 2.3x + 3y + y + 10 - 7

= 9x + 4y + 3

19. 2b + (-6c) +5e - 11b + e+ 6c

= 2b - 11b - 6c + 6c + 5e + e

= -9b + 6e

Answer:

16.7 cm

Step-by-step explanation:

So B = 180 -A-C=180-58-75=47degree

sinB/AC = sinC/AB

sin47/AC=sin75/22

AC=16.65cm

Answer:4.3216*10^-3

Step-by-step explanation:

Answer:

4.3216*10^(-3)

Step-by-step explanation:

Moving the decimal point 3 places to the right results in 4.3216*10^(-3), which is in standard form.

Answer:

32 polo, 28 measles

Step-by-step explanation:

4p + 2m = 184  <-- doses

p + m = 60        <-- vaccines

solve:

4p + 2m = 184

-2p - 2m = -120     <-- multiplied both sides by -2

------------------------

2p = 64

p = 32

plug back in:

32 + m = 60

p = 32

m = 28

Answer:

Boys = 4/9

Girls = 5/9

Step-by-step explanation:

You add the ratio parts to find what the fraction is over.

5 + 4 = 9

Then you just need to know which part is boys and which is girls.

Boys to Girls = 4:5

Therefore Boys = 4/9 and Girls = 5/9.

Fraction of the class are boys = 4/9

Fraction of the class are girls = 5/9

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given:

ratio of boys to girls = 4:5

Now, total of the ratio is = 4+5 = 9

So, fraction of the class are boys = 4/9

and, fraction of the class are girls= 5/9

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Answer:

40

Step-by-step explanation:

5(a+5)

Let a =3

5(3+5)

Parentheses first

5(8)

Multiply

40

Answer:

40

Step-by-step explanation:

5(a+5)

5(3+5)

5(8)

40

Answer:

824/360 or 824:360

Step-by-step explanation:

quick mafs

Answer:824/360,p or 824:360 or 824 to 360

Answer:

[tex]\frac{3}{4} * \frac{1}{2} = \frac{3}{8}[/tex] alternatively, the answer is 0.375

Answer:

Upper P99 = 17 in.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 14.2, \sigma = 1.2[/tex]

Upper P99

This is X when Z has a pvalue of 0.99. So X when Z = 2.327.

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

[tex]2.327 = \frac{X - 14.2}{1.2}[/tex]

[tex]X - 14.2 = 1.2*2.327[/tex]

[tex]X = 17[/tex]

So

Upper P99 = 17 in.

Answer:

215$ in profit

Step-by-step explanation:

So first, plug 52 into the equation. That makes it 7+52*4. In PEMDAS, multiplication goes first. So multiply 52*4. That makes it 208. So now plug 208 into the equation. That is 7+208. Finally, you finish the equation. 7+208 is 215, so Ricky make 215$ in profit.

Answer:

148

Step-by-step explanation:

AP 200, 196, 192, ...

a14=?

---------

a1= 200

d= 196-200=192-196= -4

a14= a1+13d

a14= 200+13*(-4)= 200- 52= 148

Divide the distance traveled by the wheel to guess the value or estimate the value of π.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center.

Given

Height of the wheel = 198

Perimeter of the wheel = 63

Height of the wheel is the diameter of the circle

Perimeter of the circle is  π × diameter of the circle

P = [tex]\pi[/tex] × d

198 = [tex]\pi[/tex] × 63

[tex]\pi[/tex] = [tex]\frac{198}{63}[/tex]

[tex]\pi[/tex] = 3.14

Hence, Divide the distance traveled by the wheel to guess the value or estimate the value of π.

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Answer:

[tex] x = \dfrac{7 \pm 3i\sqrt{3}}{2} [/tex]

Step-by-step explanation:

(x – 5)^2 + 3(x – 5) + 9 = 0

This is a quadratic equation in x - 5.

Let u = x - 5, then the quadratic equation becomes:

u^2 + 3u + 9 = 0

We can use the quadratic formula to solve for u.

[tex] u = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] u = \dfrac{-3 \pm \sqrt{3^2 - 4(1)(9)}}{2(1)} [/tex]

[tex] u = \dfrac{-3 \pm \sqrt{9 - 36}}{2} [/tex]

[tex] u = \dfrac{-3 \pm \sqrt{-27}}{2} [/tex]

[tex] u = \dfrac{-3 \pm 3i\sqrt{3}}{2} [/tex]

Since u = x - 5, now we substitute x - 5 for u and solve for x.

[tex] x - 5 = \dfrac{-3 \pm 3i\sqrt{3}}{2} [/tex]

[tex] x = \dfrac{-3 \pm 3i\sqrt{3}}{2} + 5 [/tex]

[tex] x = \dfrac{-3 \pm 3i\sqrt{3}}{2} + \dfrac{10}{2} [/tex]

[tex] x = \dfrac{7 \pm 3i\sqrt{3}}{2} [/tex]

Answer:

x = 7+/-3i sqrt3 over 2

Step-by-step explanation:

Answer:

e) 6

Step-by-step explanation:

18 divided by 3 equals 6

Answer:a parallelogram with one right vertex angle and two adjacent equal sides. a quadrilateral with four equal sides and four right angles. a quadrilateral where the diagonals are equal and are the perpendicular bisectors of each other, i.e. a rhombus with equal diagonals.

Step-by-step explanation:

Answer:

c.Right

Step-by-step explanation:

because of the 90 degrees it shows that it is 90 degrees

Answer:

B. scalene

C. right

Step-by-step explanation:

Answer:

-11 =x

Step-by-step explanation:

2x – 3 = 5(x + 6)

Distribute

2x -3 = 5x + 30

Subtract 2x from each side

2x -3 -2x = 5x -2x +30

-3 =3x +30

Subtract 30 from each side

-3-30 =3x+30-30

-33 = 3x

Divide by 3

-33/3 = 3x/3

-11 =x

Answer:

x=(-11)

Step-by-step explanation:

2x - 3=5(x+6)

2x - 3 = 5x + 30

    +3          +3

2x = 5x + 33

-5x   -5x

-3x = 33

(divide both sides by -3)

x=(-11)

Answer:

9 inches and 15 inches

Step-by-step explanation:

The height of a trapezoid is 4 in.

Its area is 48 in^2.

Let a be one base and b be the second base.

One base is 6 inches longer than the other. This implies that:

a = 6 + b _________ (1)

The formula for the area of a trapezoid is given as:

[tex]A = \frac{1}{2}(a + b)h[/tex]

where h = height

From (1), we have that:

[tex]A = \frac{1}{2}(6 + b + b )h\\ \\A = \frac{1}{2}(6 + 2b )h[/tex]

We have that h = 4 and A = 48 in^2, therefore:

[tex]48 = \frac {1}{2}(6 + 2b) * 4\\ \\96 = 24 + 8b\\\\8b = 96 - 24 = 72\\\\b = 72 / 8 = 9 in[/tex]

=> a = 6 + 9 = 15 in

The bases are 9 inches and 15 inches long.

Answer:

1.3 2.2 3.1

Step-by-step explanation:

1. 6:4 4:6 5:5

2. 5:6 6:5

3. 12 6:6

those are the ways you can get these numbers cause every two different numbers can show up on the opposite dice

Answer:

Step-by-step explanation:

Consecutive exterior angles lie outside on the same side of a transversal.

So it should be 3,45 and 6

Answer:

Correct answer is B.

Step-by-step explanation:

They are equal.

We want to get out x's together on the right side of the inequality.

So, subtract x from both sides to get 9 < 3x.

Now divide both sides by 3 and we get 3 < x.

I personally like to have my variables on the left so we can move the 3 to the left and the x to the right but if we do that, we have to switch the inequality sign.

So we can rewrite this as x > 3.

Answer:

1240 (I'm not so sure but per my calculation that is what i got)

Step-by-step explanation:

Boy     : Girl

11         :   9

124 + x :  x

11/9 = 124 + x / x

9(124 + x) = 11 x

1116 + 9x = 11x

1116 = 11x - 9x

1116 = 2x

x = 558

Thus, there are 558 girls in the school

Number of boys = 124 + x

                             = 124 + 558

                             = 682

Therefore, total number of students = 558 + 682 = 1240 students

Answer:

smaller x = -5

larger x = 5

Step-by-step explanation:

-x^2 - 8 = -33

Add 8 to each side

-x^2 - 8+8 = -33+8

-x^2 = -25

divide each side by -1

x^2 = 25

Take the square root of each side

sqrt(x^2) = ±sqrt(25)

x = ±5

x = -5, x = 5

Answer:

[tex]lesser \: \: \: x =( - 5 )\\ greater \: \: \: x =( 5)[/tex]

Step-by-step explanation:

[tex] - {x}^{2} - 8 = - 33 \\ - {x}^{2} = - 33 + 8 \\ - {x}^{2} = - 25 \\ {x}^{2} = 25 \\ x = \sqrt{25} \\ x = + 5 \\ x = - 5[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: The value of m is 29.

Step-by-step explanation:

Given that, One term of [tex](x+y)^m[/tex] is [tex]31,824x^{18}y^{11}[/tex]  ...(i)

We know that that (r+1)th term in [tex](a+b)^n[/tex] is given by :-

[tex]T_{r+1}=^nC_ra^{n-r}b^r[/tex]  ...(ii)

On comparing (i) with (ii) , we get

[tex]a= x \text{ and } b= y \\n-r =18 \text{ and } r=11\\n=m[/tex]

i.e.

[tex]m-r=18\Rightarow\ m-11=18\\\\\Rightarrow\ m=18+11=29[/tex]

Hence, the value of m is 29.

Answer:

the ladder is “c2” 15 X 15 =225

9 feet out is still squared to 81.

So c2 (225) - b2 (81) is 144 (a2)

Sqrt of 144 is 12. The ladder will be 12′ up the wall.

Answer: 12m

Step-by-step explanation:

P.S I'm emo

Answer:

The vertex is located at (3,5)

The axis of symmetry is x = 3

The plot is in the image attached

Step-by-step explanation:

First we need to find the vertex of the quadratic function. We can find the x-coordinate of the vertex using the formula:

x_v = -b / 2a

Where 'a' and 'b' are coefficients of the quadratic equation in the model:

ax^2 + bx + c = 0

Then we need to expand the terms of f(x):

f(x) = (x-3)^2 + 5

f(x) = x^2 - 6x + 9 + 5

f(x) = x^2 - 6x + 14

So we have a = 1 and b = -6

Then the x-coordinate of the vertex is:

x_v = 6 / 2 = 3

We can use this value in f(x) to find the y-coordinate of the vertex:

f(x_v) = 3^2 - 6*3 + 14 = 5

So the vertex is located at (3,5)

The axis of symmetry is the vertical line traced in the vertex, so it is x = 3

The plot is in the image attached. The circle at (3,5) is the vertex, and the blue line is the axis of symmetry.