Find the volume of this solid.

Answer:

[tex]x = 34^\circ[/tex]

Step-by-step explanation:

Note that ∠TSU and ∠PSR are vertical angles. Hence:

[tex]m\angle TSU = m\angle PSR[/tex]

∠PSR is the sum of ∠PSQ and ∠QSR. Hence:

[tex]\displaystyle m\angle TSU = m\angle PSQ + m\angle QSR[/tex]

We know that ∠TSU measures 4x and ∠QSR measures 3x. Thus:

[tex](4x) = m\angle PSQ + (3x)[/tex]

Solve for ∠PSQ:

[tex]m\angle PSQ = x[/tex]

Next, ∠PQS and ∠RQS form a linear pair. Thus:

[tex]m\angle PQS + m\angle RQS = 180^\circ[/tex]

∠RQS measures 68°. Thus:

[tex]m\angle PQS +(68^\circ) = 180^\circ[/tex]

Solve for ∠PQS:

[tex]m\angle PQS = 112^\circ[/tex]

The interior angles of a triangle must total 180°. So, for ΔPQS:

[tex]\displaystyle m\angle SPQ + m\angle PQS + m\angle PSQ = 180^\circ[/tex]

Substitute in the known values:

[tex](x) + (112^\circ) + (x) = 180^\circ[/tex]

Simplify:

[tex]2x = 68^\circ[/tex]

And divide. Hence:

[tex]x = 34^\circ[/tex]

Answer:

45 * 3/5 = 135/5 = 27

Step-by-step explanation:

Answer:

365.7 km²

hopefully this answer can help you to answer the next question.

x = 1 2 3 4 5

Rule:

x = (n+1)

Where n is the number

y = 5 7 9 11 13

Rule:

y = (n+2)

Where n is the number

Must click thanks and mark brainliest

Answer:

282.7 mi^2

Step-by-step explanation:

Surface area of cone=pi*r*(r+l)=pi*5*18=282.7

Answer:

10. x is 15; y is \sqrt104. 11. \sqrt5

Step-by-step explanation:

for 10:

first we find the face on the left side; which according to the pythagorean theorem x is 144 + 81 =225 = x = 15. and y is 11^2 + y^2 = 225 = 225 - 121 = y^2 = y = the square root of 104.

for 11:

144 + y^2 = 169 = y^2 = 25 = y = 5. because the two sides are equivalent, the base is also 5 for the left part of the triangle. therefore, 5^2 + 5^2 = x^2 which means x is the square root of 5.

Answer:

18.45

Step-by-step explanation:

I used a calculator

Answer:

6.8 gallions i believe. im not quite sure

Answer:

An angle bisector

Step-by-step explanation:

An angle bisecter

Answer:

Step-by-step explanation:

[tex]{ \boxed{\boxed{\begin{array}{cc} \maltese  \bf \: given \: \\ \\ \rm \: d - \frac{1}{d} = 6 \\ \\ \bf \: now \\ \\ \rm {(d + \frac{1}{d} })^{2} = ( {d - \frac{1}{d} })^{2} + 4 \times d \times \frac{1}{d} \\ \\ = {6}^{2} + 4 \\ \\ = 36 + 4 \\ \\ = 40 \\ \\ \rm \: d + \frac{1}{d} = \pm \sqrt{40} \end{array}}}}[/tex]

f(x) = 1/(1 - x)

g(x) = (x - 1)/x

The inverse functions f ⁻¹(x) and g ⁻¹(x), if they exist, are such that

f( f ⁻¹(x) ) = x

g( g ⁻¹(x) ) = x

So we have

f( f ⁻¹(x) ) = 1/(1 - f ⁻¹(x) ) = x

Solve for f ⁻¹(x) :

1 = (1 - f ⁻¹(x) ) x

1 - f ⁻¹(x) = 1/x

f ⁻¹(x) = 1 - 1/x

f ⁻¹(x) = (x - 1)/x

and so f ⁻¹(x) = g(x).

Similarly, you can solve for g ⁻¹(x) :

g( g ⁻¹(x) ) = (g ⁻¹(x) - 1) / g ⁻¹(x) = x

1 - 1/g ⁻¹(x) = x

1/g ⁻¹(x) = 1 - x

g ⁻¹(x) = 1/(1 - x)

So we know f(x) and g(x) are inverses of one another,

f ⁻¹(x) = g(x)

g ⁻¹(x) = f(x)

Then

(a) (f o g)(x) = x

(b) (g o f ⁻¹)(x) = g(g(x)) = (g(x) - 1)/g(x) = 1 - 1/g(x) = 1 - x/(x - 1) = 1/(1 - x)

(c) (f o g ⁻¹)(x) = f(f(x)) = 1/(1 - f(x) ) = 1/(1 - 1/(1 - x)) = 1/(x/(x - 1)) = (x - 1)/x

Answer:

So, the degree of the polynomial 2x - 3 = 1.

If [tex]P(x) = p_nx^n + p_{n-1}x^{n-1}+\ldots+p_0[/tex] is divided by [tex](x-a)[/tex], then [tex]P(x) = (x-a) \cdot Q(x) + R(x)[/tex] for some polynomials [tex]Q,R[/tex]. Moreover, [tex]\deg R < 1[/tex] (because [tex]\deg (x-a) = 1[/tex]), so there exists  [tex]\alpha \in \mathbb{R}[/tex] such that [tex]R(x) = \alpha[/tex] for all [tex]x \in \mathbb{R}[/tex]. But if we calculate [tex]P(a)[/tex], it turns out that [tex]P(a) = (a-a)\cdot Q(a) + \alpha[/tex], so [tex]R(x) = \alpha = P(a)[/tex]. [tex]\blacksquare[/tex]

To solve this question, we analyze the percentages, and doing this, we get that the percentage of total shoppers surveyed  intend to purchase only fruits or vegetables (not both) is 12.6%.

Percentages:

63% of the shoppers will make a purchase.

Of those, 80% purchase both fruits and vegetables.

Thus, 100 - 80 = 20% purchase only one.

Percentage of shoppers who purchase only one:

20% of 63%, so:

[tex]p = 0.2*0.63 = 0.126[/tex]

0.126*100% = 12.6%.

Thus, the percentage of total shoppers surveyed  intend to purchase only fruits or vegetables (not both) is 12.6%.

A similar example is given at https://brainly.com/question/24161830

Answer:

[tex]2 {u}^{7} {v}^{2} [/tex]

steps are explained in ths picture

Note:if you need to ask any question please let me know.

Answer:

x= 10

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

(8+x) * 8 = (9+-3+x) * 9

8(8+x) = 9(6+x)

Distribute

64+8x=9x+54

Subtract 8x from each side

64 = x+54

Subtract 54 from each side

10 =x

From my knowledge:

²−2−15=0

x=5

x=-3

Answer: $0.06 per inch

Concept:

When encountering questions that ask for unit price, follow the statements to get the answer. For example, this question asks the price per inch. Therefore, in the actual answer, use the total price given divided by the number of inches.

Solve:

Price = $6.48

Inch = 9 × 12 = 108 in

Price / Inch = 6.48 / 108 = $0.06 per inch

Hope this helps!! :)

Please let me know if you have any questions

Answer:

(4, 1)

Step-by-step explanation:

See attachment courtesy of Desmos.

Answer:

[tex]36 + 35 = 71[/tex]

Step-by-step explanation:

[tex]3 + 5 + 4 = 12 \\ \\ 3 \times 3 = 9 \\ 5 \times 3 = 15 \\ 4 \times 3 = 12 \\ 9 + 15 + 12 = 36[/tex]

Answer:71 is correct

Step-by-step explanation:

3+5+4=12

3*3=9

5*3=15

4*3=12

9+5+12=36

36+35=71

Answer:

Step-by-step explanation:

Answer:

∠ ELM = 149°

Step-by-step explanation:

∠ KLM = ∠ KLE + ∠ ELM  , substitute values

17x - 1 = 20 + 15x - 1

17x - 1 = 15x + 19 ( subtract 15x from both sides )

2x - 1 = 19 ( add 1 to both sides  )

2x = 20 ( divide both sides by 2 )

x = 10

Then

∠ ELM = 15x - 1 = 15(10) - 1 = 150 - 1 = 149°

Answer: The father is 36 right now and the son is 4

Step-by-step explanation: 9x4 is 36 and 36/9=4.

Step-by-step explanation:

-1| 2/3 - 4| / 5/6

=-1 paxi ko sign k hola

Answer:

Each x-coordinate increased by 6 and each y-coordinate decreased by 3.

Step-by-step explanation:

Let us use the coordinates of a and a' as an example

a = (-3, 5) a' = (3, 2)

So -3 is for the x-axis in coordinate a and 3 is for the x axis in coordinate a'

Then -3 + 6 = 3 ( This is the x coordinate for a' )

So 5 is for the y -axis in coordinate a and 2 is for the y axis in coordinate a'

Then 5 - 3 = 2 ( This is the y coordinate for a' )

HOPE THIS HELPED

Choice A would be true if it was for 8 years, and not 8 months. The value of t is in years. We would need to convert 8 months to years like so

12 months = 1 year

1 month = 1/12 of a year

8 months = 8/12 of a year

8 months = 2/3 of a year after dividing both parts by 4

So we'll go for choice B as the final answer

Answer: The graph DOES represent a function.

Explanation: If you use a vertical line in the function and it only intersects once, that means it is a function. If it intersects twice, it is not a function.

See examples:

Answer:

A. Correct: When we plug in g(x) for the x in f(x), we get H(x).

B. Correct: When we plug in g(x) for the x in f(x), we get H(x).

C. Correct: When we plug in g(x) for the x in f(x), we get H(x).

D. Correct: When we plug in g(x) for the x in f(x), we get H(x).

Step-by-step explanation:

Brainliest, please!