factorise fully the following expression (x2-3x-10)​

Answer:

The surface area of cylinder is 244.92 inches²

hope it helps

have a nice day

Answer:

m∠6 = 116°

Step-by-step explanation:

first find x:

7x - 17 = 2x + 78

subtract 2x from both sides: 5x - 17 = 78

add 17 to both sides: 5x = 95

divide by 5: x = 19

plug x into 7x - 17

7(19) - 17 = 116

∠6 and 7x - 17 are vertical angles and therefore congruent, so m∠6 also = 116°

When multiplying the same number raised to different powers add the powers together.

3 + 2 + 5 = 10

Because you are also multiplying a value without a power you need to add 1 to the sum of the powers:

10 + 1 = 11

Answer: 6^11

Answer:

[tex]\text{A. }\frac{4\sqrt{14}}{{7}}[/tex]

Step-by-step explanation:

In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side. Therefore, we can form a right triangle with non-right angle [tex]\theta[/tex] and its opposite side [tex]\sqrt{7}[/tex] and its adjacent side [tex]5[/tex].

By definition, [tex]\csc \theta=\frac{1}{\sin\theta}[/tex].

In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle. To find the hypotenuse, use the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or longest side, of the right triangle and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle.

Solving, we get:

[tex]5^2+\sqrt{7}^2=c^2,\\25+7=c^2,\\c^2=32,\\c=\sqrt{32}=4\sqrt{2}[/tex]

Therefore, we have:

[tex]\csc \theta = \frac{1}{\sin \theta}=\frac{1}{\frac{\sqrt{7}}{4\sqrt{2}}},\\\\\csc \theta=1\cdot \frac{4\sqrt{2}}{\sqrt{7}},\\\\\csc \theta =\frac{4\sqrt{2}}{\sqrt{7}}\cdot \frac{\sqrt{7}}{\sqrt{7}}=\boxed{\text{A. }\frac{4\sqrt{14}}{{7}}}[/tex]

Answer: Choice A)   [tex]\frac{4\sqrt{14}}{7}[/tex]

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

Explanation:

Refer to the figure below. We start off drawing a right triangle that has opposite side sqrt(7) and adjacent side 5.

This is because tan = opposite/adjacent.

Use the pythagorean theorem to find the hypotenuse is sqrt(32) which simplifies like so

sqrt(32) = sqrt(16*2) = sqrt(16)*sqrt(2) = 4*sqrt(2)

The last thing to do is to take the ratio of the hypotenuse over the opposite side. Recall that csc, aka cosecant, is the reciprocal of sine.

sin = opposite/hypotenuse

csc = hypotenuse/opposite

---------

So we get the following

[tex]\csc{\theta} = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc{\theta} = \frac{4\sqrt{2}}{\sqrt{7}}\\\\\csc{\theta} = \frac{4\sqrt{2}*\sqrt{7}}{\sqrt{7}*\sqrt{7}}\\\\\csc{\theta} = \frac{4\sqrt{2*7}}{\sqrt{7*7}}\\\\\csc{\theta} = \frac{4\sqrt{14}}{\sqrt{49}}\\\\\csc{\theta} = \frac{4\sqrt{14}}{7}\\\\[/tex]

So that's why the answer is choice A.

Answer:

26

Step-by-step explanation:

Horizontally:

Like reading = 32

Do not like reading = ?

Total = 58

Total = Like reading + Do not like reading

Do not like reading = Total - Like reading

= 58 - 32

= 26

Do not like reading = 26

Vertically:

Like gardening =

Do not like gardening = 23

Total = 49

Total = Like gardening + Do not like gardening

Like gardening = Total - Do not like gardening

= 49 - 23

= 26

Like gardening = 26

Therefore,

The missing number in the table is 26

Answer:

4/5

Step-by-step explanation:

The first point (-4, -7) lies in the third quadrant and the second one in the first quadrant.  This tells us immediately that the slope is positive; y increases as x increases.  The change in x is 4 - (-4), or 8; this is the 'run.'  The change in y  is 3 - (-7), or 10; this is the 'rise.'

Thus the slope of this line is m = rise/run = m = 8/10, or m = 4/5

Answer:

g = 3 + b

b + 3 = g

3 + b = g

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

Rewriting the rule so 'b' would be the subject:

[tex]g = b + 3\\\\g - 3 = b + 3-3\\\\g-3=b\\\\\boxed{b=g-3}[/tex]

Hope this helps.

Answer:

A.

Step-by-step explanation:

we are going from a large shape to a smaller shape. the proof is that the side lengths go down from 7m to 0.5m. so, it is a reduction.

and the scaling factor s ? what do we need to multiply the original side lengths with to get the new ones ?

7 × s = 0.5 = 1/2

s = (1/2)/7 = (1/2)/(7/1) = (1×1)/(2×7) = 1/14

=> answer A is correct

The dilation from the figure on the left to the figure on the right is a reduction.  

Reduction scale factor 1/14.

The correct option is A.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Given:

We have given that two figures.

The dilation from the figure on the left to the figure on the right is a reduction.

And the scale factor is,

= actual / scale

= 1/(7 / 0.5)

= 1/14

Therefore, the scale factor is 1/14.

To learn more about the scale factor;

https://brainly.com/question/29464385

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Answer:

3

Step-by-step explanation:

Pythagorean rule

[tex]hyp = opp + adj \\ therefore. \\ opp = hyp - adj \\ and \\ adj = hyp - opp[/tex]

opp=13-10

opp=3

Answer:

Maria buys merchandise worth $ 2,000,000 which has an estimated profit of 25%, she wants to know the value that she will earn by selling all her merchandise. What will be the value that corresponds to Maria's earnings?

Step-by-step explanation:

2,500,000 $ worth of merchandise

Answer: True

Step-by-step explanation:

We know in every triangle all the angles add up to 180 so for triangle ABC if you add the 52 to the 90 you’ll find the answer to be 142 if you subtract this then from 180 you’ll find 38 to be your answer

Therefore if you add the 38 the 52 and the 90 you’ll get 180

Based only on the information given in the diagram, it is guaranteed that Δ ABC ≅ Δ XYZ. It is true that Δ ABC ≅ Δ XYZ. Option A is correct.

Triangles that are equivalent in terms of size and form are known as congruent triangles.

It is certain that XYZ gave simply the facts in the diagram, traingle ABC, and XYZ is similar. It is true that triangles XYZ and ABC are similar.

The angle of triangles ABC and XYZ is;

∠A= 180° -(90+52) = 38°

∠B= 90°

∠C=38°

∠X=38°

∠Y=90°

∠Z=180° -(90+38°) = 52°

∠B =∠Y=90°

Based only on the information given in the diagram, it is guaranteed that Δ ABC ≅ Δ XYZ. It is true that Δ ABC ≅ Δ XYZ.

Hence, option A is correct.

To learn more about the congruent triangle refer;

https://brainly.com/question/12413243

#SPJ2

Answer:

(v - 6)(v + 4)

Step-by-step explanation:

v² - 2v - 24

v² + 4v - 6v - 24

v(v + 4) - 6(v + 4)

(v - 6)(v + 4)

Answer:

Step-by-step explanation:

This is only my guess, as I haven’t done this topic in a few months

A. 398/427

0.93

B. 123/1192

0.10

C. 339/403

0.84

Answer:

x is greater than or equal to 3

Step-by-step explanation:

x ≥ 3

x is greater than or equal to 3

so you got the plot right

Answer:

.20$

Step-by-step explanation:

4 1/2=4.5

4.5 divided by 22.50=.20

Answer: Jennifer bought 4 1/2 pounds of hamburger for $22.50.

What was the cost per pound?

.20cents

Answer:

920

Hope that this helps!

Answer:

369

Step-by-step explanation:

g(f(x)) simply means to put the whole expression of function f(x) into the place of "x" in g(x).

and to find the functional value for a specific x we just need to calculate functional value for f(x) and use that result as input for g(x).

f(6) = 8×6 + 5 = 48 + 5 = 53

and now

g(53) = 7×53 - 2 = 371 - 2 = 369

to check we do the general functional substitution :

g(f(x)) = 7×(8x+5) - 2 = 56x + 35 - 2 = 56x + 33

g(f(6)) = 56×6 + 33 = 336 + 33 = 369

correct

Answer:

part a-24 questions

part b-2 or 3 more questions

Step-by-step explanation:

part a-to find the number, change the percent into a decimal (.75) and multiply (24)

part b-first find how many questions need to be right to get 80% (.80 times 32=25.6). then subtract by how many he would get with a 75% (25.6-24=about 2 to 3 more questions, rounded 2)

Answer:

283 people went this year to the stadium.

Step-by-step explanation:

Let's put this data into pieces so it's less overwhelming.

Last year 260 students went to the prom.

Currently the number of students who attended has increased by 9% from last year.

And the question is asking how many students attended this year?

Well, if this is increasing by 9%, wouldn't we just find 9% of 260 then add it to 260?

0.09 * 260 = 23.4

260 + 23.4 = 283.40. Obviously we can't have 40% of a human being, so let's round it to 283.

Answer:

Step-by-step explanation:

6x² + 108x + 707  = 5

Subtract 707 from both sides

6x² + 108x = 5 - 707

6x² + 108x = - 705

Divide the whole equation by 6

[tex]\frac{6x^{2}}{6}+\frac{108x}{6}= \frac{-702}{6}\\\\x^{2}+ 18x = - 117\\[/tex]

Divide 18 by 2 = 9

Add 9² to both sides

x² + 18x + 9² = -117 + 9²

x² + 18x  + 81 = -117 + 81

(x + 9)² = - 36

Answer:

(x + 9)^2 = -36

Step-by-step explanation:

6x^2 + 108x + 707 = 5

6x^2 + 108x = -702

x^2 + 18x = -117

x^2 + 18x + (18/2)^2 = -117 + (18/2)^2

x^2 + 18x + 81 = -117 + 81

(x + 9)^2 = -36

Answer:

x = 260

Step-by-step explanation:

Add the two angles together.  They will sum to 180

x/2+ 50 = 180

Subtract 50 from each side

x/2+50-50 = 180-50

x/2 = 130

Multiply by 2

x/2*2 = 130*2

x = 260

Answer:

260°

Step-by-step explanation:

x / 2 + 50° = 180°

Subtract 50° from each side

x/2 + 50° - 50° = 180° - 50°

x / 2 = 130°

Multiply each side by 2

2 × x/2 = 130° × 2

x = 260°

Answer:

the answer is 113.398 grams

Given:

[tex]8x^3+20x^2+36[/tex] divided by [tex](2x+6)[/tex].

To find:

The quotient by using long division method.

Solution:

We have,

Dividend = [tex]8x^3+20x^2+36[/tex]

Divisor = [tex](2x+6)[/tex]

Using long division method we get

[tex]\underline{2x+6}|\overline{8x^3+20x^2+0x+36}|\underline{4x^2-2x+6}[/tex]

          [tex]\underline{8x^3+24x^2}[/tex]

                   [tex]-4x^2+0x[/tex]                                 (After subtraction)

                  [tex]\underline{-4x^2-12x}[/tex]

                             [tex]12x+36[/tex]                          (After subtraction)

                             [tex]\underline{12x+36}[/tex]

                                [tex]\underline{\quad 0\quad }[/tex]                           (After subtraction)

The quotient is [tex]4x^2-2x+6[/tex].

Therefore, the correct option is C.

Answer:

v = 27,000 mm³

Step-by-step explanation:

v = s³

v = 30³

v = 27,000 mm³

Answer:

1.7ft

Step-by-step explanation:

Given data

Volume of tank=  300π 〖ft〗^3

Height of tank= 10ft

The expression for the volume of a cylinder is given as

Volume= πr^2h

Substitute

300π = π *r^2*10

300= r^2*100

3= r^2

r= √3

r= 1.7 ft

Hence the radius of the cylinder is 1.7ft

Answer:

9km

Step-by-step explanation:

30-(13+8)=9km

I hope you understand

Answer:

7.22

Step-by-step explanation:

solved in the diagram

Answer:

B is the right answer and if you want learn this, than learn algebric expression