Solve for x.
С
D
*
112°
yº
(2x)
>>
A
B

Answer:

77

Step-by-step explanation:

A=B x H divide by 2

A= 14 x 11 /2 = 77

Answer:

55°

Step-by-step explanation:

Since ∠WXY has a square on ∠X, ∠WXY is a 90° angle. This means that the angles in between ∠WXY also sum up to 90°.

⇒ 35 + 4x + 7 = 90

⇒ 4x = 90 - 35 - 7

⇒ 4x = 48

⇒ x = 48/4 = 12

Substitute the value of x into the expression "4x + 7"

⇒ ∠ZXY = 4x + 7 = 4(12) + 7 = 48 + 7 = 55°

Answer:

We know that this is a 90° Angle.

We already have 35° so we subtract that from 90

90-35=55

So the value of ∠ZXY = 55°

Also, the value of X is equal to 12

Hope this helps!

The expression  [tex]\rm log_{7} 98[/tex]  using the product property is [tex]\rm log_{7} 49 + \rm log_{7} 2[/tex].

A logarithm is the exponentiation inverse function that can be expressed by the exponent or power to which a base must be raised to yield a number.

It is given that [tex]\rm log_{7} 2[/tex] = 0.356

We can write [tex]\rm log_{7} 98[/tex] in terms of  [tex]\rm log_{7} 2[/tex]

[tex]\rm log_{7} 98[/tex] = [tex]\rm log_{7} (49\times 2)[/tex]

In logarithm, the product will change in addition

[tex]\rm log_{7} 98[/tex] = [tex]\rm log_{7} (49\times 2)[/tex]

= [tex]\rm log_{7} 49 + \rm log_{7} 2[/tex]

Hence, the expression  [tex]\rm log_{7} 98[/tex]  using the product property is [tex]\rm log_{7} 49 + \rm log_{7} 2[/tex]

Learn more on logarithm here:

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Answer:

log7 2 + log7 49

log7 49= 2

Step-by-step explanation:

Answer:

35%

Step-by-step explanation:

First, we add :)

25 + 35 + 40 = 100

Now we divide :)

35/100 = 0.35 = 35%

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

30%

Step-by-step explanation:

You Do it

Check the picture below.

we know the LA is 9 and 1/2 or namely 19/2 and the height is 5, so

[tex]\stackrel{slant~height}{\cfrac{19}{2}}~~ = ~~\stackrel{slant~height}{\sqrt{r^2+h^2}}\implies \left( \cfrac{19}{2} \right)^2~~ = ~~r^2+5^2\implies \cfrac{361}{4}~~ = ~~r^2+25 \\\\\\ \cfrac{361}{4} - 25~~ = ~~r^2\implies \cfrac{261}{4}=r^2\implies \sqrt{\cfrac{261}{4}}=r\implies \boxed{\cfrac{3\sqrt{29}}{2}=r} \\\\[-0.35em] ~\dotfill\\\\ LA=\pi r\stackrel{slant~height}{\sqrt{r^2+h^2}}\implies LA=\pi \left( \cfrac{3\sqrt{29}}{2} \right)\cfrac{19}{2}\implies \boxed{LA=\cfrac{57\pi \sqrt{29}}{4}}[/tex]

[tex]~\dotfill\\\\ SA=\pi r\sqrt{r^2+h^2}~~ + ~~\pi r^2\implies SA=LA~~ + ~~\pi r^2 \\\\\\ SA=\cfrac{57\pi \sqrt{29}}{4}~~ + ~~\cfrac{3\pi \sqrt{29}}{2}\implies \boxed{SA=\cfrac{63\pi \sqrt{29}}{4}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill LA\approx 241.1\qquad SA\approx 266.5~\hfill[/tex]

Volume

Cost per cm³=$8

Total cost

Answer:

$113.04

Step-by-step explanation:

Formula

[tex]\sf \textsf{Volume of a sphere}=\dfrac43 \pi r^3 \quad \textsf{(where r is the radius)}[/tex]

[tex]\begin{aligned}\textsf{Given}: \quad \sf r & =\sf 1.5\:cm\\ \pi & = \sf 3.14 \end{aligned}[/tex]

[tex]\begin{aligned}\implies \sf \textsf{Volume of silver globe} & =\sf \dfrac43 \cdot 3.14 \cdot (1.5)^3\\\\& =\sf 14.13 \:cm^3\end{aligned}[/tex]

[tex]\textsf{Given}: \quad \sf Cost\:of\:silver=\$ 8.00\:per\:cm^3[/tex]

[tex]\begin{aligned}\implies \textsf{Cost of silver for one globe} & =\textsf{Volume of globe} \times \sf \$ 8.00\\ & =\sf 14.13 \times \sf \$ 8.00\\& =\sf \$ 113.04\end{aligned}[/tex]

Answer:

Step-by-step explanation:

According to definition of the function, each input must have exactly one output.

One of the given relationships - T-shirt prices reveals two outputs.

All the rest show one-to-one relationship.

The exponent expression ∛(56x⁷y⁵) is equivalent to the expression 2x²y∛(7xy²).

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

The expression will be given as

[tex]\sqrt[3]{56x^7y^5}[/tex]

The expression can be written as

[tex]\rightarrow \sqrt[3]{2*2*2*7 \ x^3 \ x^3 \ x \ y^3 \ y^2 }\\\\\rightarrow 2*x*x*y * \sqrt[3]{7xy^2} \\\\\rightarrow 2x^2 y \sqrt[3]{7xy^2 }[/tex]

More about the exponent link is given below.

https://brainly.com/question/5497425

Answer:75

Step-by-step explanation:

Step-by-step explanation:

Check out the attached photo.

Answer:

x = 90

Step-by-step explanation:

If the line is straight.

Angles on a straight line add up to 180

2x = 180

x = 90

The linear function f(x) = ax + b has a constant rate

The conclusion from the each interval is that the function values changes at a constant rate

The linear function is given as:

f(x) = ax + b

The interval is given as:

[-3,3] and [9,15]

Since the function is a linear function, the conclusion from the each interval is that the function values changes at a constant rate

Read more about linear functions at:

https://brainly.com/question/14323743

The missing values are 9 miles, 6 inches, 30 miles, and 30 miles, respectively.

It's a math tool for solving problems about proportion. You can relate more than 2 variables and from the proportion, it's possible to find an unknown number.

1/2 in= 1 mile, from the rule of three, you can find the distance in miles.

                        1/2 inch ------------- 1 mile

                        4.5 inches --------- x miles

Applying cross multiplication

1/2x=4.5

x=4.5 *2

x=9 miles

1 in= 5 miles, from the rule of three, you can find the distance in miles.

                        1 inch ------------- 5 miles

                        x inches --------- 30 miles

Applying cross multiplication

5x=30

x=6 inches

1 in= 10 miles, from the rule of three, you can find the distance in miles.

                        1 inch ------------- 10 miles

                        3 inches --------- x miles

Applying cross multiplication

x=3*10 miles

x=30 miles

1 in= 15 miles, from the rule of three, you can find the distance in miles.

                        1 inch ------------- 15miles

                        2 inches --------- x miles

Applying cross multiplication

x=2*15 miles

x=30 miles

Read more about the rule of three here:

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Answer:

9 miles, 6 inches, 30 miles, and 30 miles

Step-by-step explanation:

What he said. give him crown.

Combined surface area for the 8 prisms is: 3,040 square centimeters.

3,500 cm² > 3,040 cm², therefore, Sasha has enough cloth for the design.

Surface area = (b1 + b2)h + PH

Given the following dimensions:

Plug in the values into SA = (b1 + b2)h + PH:

Surface area = (5 + 15)7 + (40)(6)

Surface area = 380 sq. cm.

Combined surface area for the 8 prisms = 380 × 8 = 3,040 square centimeters.

3,500 cm² > 3,040 cm², therefore, Sasha has enough cloth.

Learn more about surface area of trapezoidal prism on:

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Answer:

The combined surface area of the prisms is 3040 cm², therefore Sasha does have enough cloth for her current design.

Step-by-step explanation:

7 + 6 = 13                (Length + Height)

13 x 5 = 65              side a (h + l)

15 x 13 = 195           side b (h+l)

10 x 6 = 60             side c x length

10 x 6 = 60             side d x length

All of the above added together is 380, one trapezoidal prism.

380 x 8 = 3040

I also did the quiz.

An exponential decay function is flx) = (-3)9, the correct option is D.

Consider the function:

[tex]y = a(1\pm r)^m[/tex]

where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is plus sign, then there is exponential growth happening by r fraction or 100r %

If there is negative sign, then there is exponential decay happening by r fraction or 100r %

We are given that;

f(x) =4

An exponential decay function is a function of the form:

f(x) = ab^x

where a and b are positive constants and b < 1.

The value of b determines how fast the function decreases as x increases. The smaller the value of b, the faster the decay.

To find which option is an exponential decay function, we need to compare their values of b.

Option A has f(x) = 4(1/3)x. This means that b = 4^(1/3), which is approximately 1.587. Since b > 1, this is not an exponential decay function.

Option B has f(x) = 13(7)^x. This means that b = 7, which is greater than 1. This is not an exponential decay function.

Option C has f(x) = (9/5)^x. This means that b = 9/5, which is also greater than 1. This is not an exponential decay function.

Option D has f(x) = (-3)(9)^(-x). This means that b = 9^(-1), which is equal to 1/9. Since b < 1, this is an exponential decay function.

Therefore, by exponential growth and decay the answer will be flx) = (-3)9

Learn more about exponential growth and decay here:

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#SPJ7

Answer:

5

Step-by-step explanation:

Check out the attached photo

Answer:

9x²

Step-by-step explanation:

(- 3x)²

= - 3x × - 3x

= - 3 × - 3 × x × x

= 9 × x²

= 9x²

You gave little context, so here is a few solutions.

POSSIBLE #1:

assuming s is a variable

---> Simplify  [tex]12S[/tex] × [tex]16[/tex] to [tex]192S[/tex]

[tex]4x-192S+8x[/tex]

--->  Collect like terms.

[tex](4x+8x)-192S[/tex]

---> Simplify.

[tex]12x-192S[/tex]

POSSIBLE #2: (assuming s is not relevant)

Simplifying

4x + -12 = 16 + 8x

Reorder the terms:

-12 + 4x = 16 + 8x

Solving

-12 + 4x = 16 + 8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-8x' to each side of the equation.

-12 + 4x + -8x = 16 + 8x + -8x

Combine like terms: 4x + -8x = -4x

-12 + -4x = 16 + 8x + -8x

Combine like terms: 8x + -8x = 0

-12 + -4x = 16 + 0

-12 + -4x = 16

Add '12' to each side of the equation.

-12 + 12 + -4x = 16 + 12

Combine like terms: -12 + 12 = 0

0 + -4x = 16 + 12

-4x = 16 + 12

Combine like terms: 16 + 12 = 28

-4x = 28

Divide each side by '-4'.

x = -7

Simplifying

x = -7

If there are any other ways to solve this please add more context in the comments below this answer! Hope this was helpful! Have a marvelous day/night!

Answer:

-6

Step-by-step explanation:

The answer is: 7π6=−π6

π= 3.14 or 22/7

so 7x3.14= 21.98

than divide by 6

Answer:

h = 16.5

Step-by-step explanation:

Remark

The formula below really is the Pytharagan formula disguised.

h^2 = hypotenuse (side)^2 - (1/2 side)^2

Givens

side = 19 cm

Solution

h^2 = 19^2 - (1/2*19)^2      Substitute given into formula

h^2 = 361 - (9.5)^2            square 9.5

h^2 = 361 - 90.25             Subtract

h^2 = 270.75                    Take the square root of both sides

√h^2 = √270.75

Answer: h = 16.5

Step-by-step explanation:

2)D

3)A

4) B

5)C

6)D

7)B

8)B

9)C

10)C

11)A

12)D

p.s Pls at least try to do ur test urself

13) D

Answer:

Step-by-step explanation:

For the first problem you have:

[tex]sin^2(x)-sin(x)=0[/tex]

Factor out a sin(x) to get:

[tex]sin(x)[2sin(x)-1]=0[/tex]

Individually, set both terms equal to zero:

[tex]sin(x)=0[/tex]

[tex]2sin(x)-1-0[/tex]

The first equation is asking "sine of what angle gives zero?" The sine of 0 will give zero, and so will the sine of pi, and 2pi, etc. Therefore, you can generalize this by saying the solution is pi multiplied by an integer 'n' where 'n' can be from zero to infinity:

[tex]x=n\pi[/tex]

where n = 0, 1, 2, 3, 4, 5, etc..

(make sure you specify that 'n' can equal zero.)

For the second equation, add 1 to both sides to get:

[tex]2sin(x)=1[/tex]

Divide both sides by 2 to get:

[tex]sin(x)=\frac{1}{2}[/tex]

Sine of what gives 1/2? Sine of pi/6 gives 1/2, and so does 5pi/6. Therefore, the two solution here would be pi/6 plus a phase shift of 2pi, and 5pi/6 plus a phase shift of 2pi:

[tex]x=\frac{\pi }{6} +2n\pi[/tex]

[tex]x=\frac{5\pi }{6} +2n\pi[/tex]

The second problem states that:

[tex]cos(u)=\frac{4}{5}[/tex]

Cosine is defined as the adjacent side of a right triangle divided by the hypotenuse of the right triangle:

[tex]cos(u)=adjacent/hypotenuse[/tex]

After drawing a triangle, the adjacent side is 4, and the hypotenuse is 5. But first, lets rewrite sin(2u) using the double angle identity to get:

[tex]sin(2u)=2sin(u)cos(u)[/tex]

But we know the value of cosine of 'u', it is 4/5. Therefore:

[tex]sin(2u)=2sin(u)*\frac{4}{5}[/tex]

[tex]sin(2u)=\frac{8}{5} sin(u)[/tex]

To find the sine of 'u', use the triangle you should have constructed when I defined cosine as the adjacent over the hypoptenuse. Sine is defined as the opposite over the hypotenuse. We have:

[tex]sin(u)=opposite/hypotenuse[/tex]

We have the adjacent, we have the hyppotenuse, and we want the opposite. If we find the opposite side, we can find the sin(2u). Use pythagogrean's theorem to find the opposite:

[tex]adjacent^2+opposite^2=hypotenuse^2[/tex]

[tex]4^2+opposite^2=5^2[/tex]

[tex]opposite^2=25-16[/tex]

[tex]opposite=3[/tex]

Finally, we have that:

[tex]sin(u)=\frac{3}{5}[/tex]

Or:

[tex]sin(2u)=\frac{8}{5}*\frac{3}{5} =24/25[/tex]

Hopefully you could follow along. There is a lot going on here, but since youre in pre-calc, you should be able to follow along as long as you follow my steps.

Semi perimeter:-

[tex]\\ \rm\rightarrowtail s=\dfrac{a+b+c}{2}[/tex]

[tex]\\ \rm\rightarrowtail s=\dfrac{1.8+2.4+3}{2}[/tex]

[tex]\\ \rm\rightarrowtail s=\dfrac{7.2}{2}=3.6cm[/tex]

Apply heron s formula

Area:-

[tex]\\ \rm\rightarrowtail \sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{3.6(3.6-1.8)(3.6-3)(3.6-2.4)}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{3.6(1.8)(0.6)(1.2)}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{4.6656}[/tex]

[tex]\\ \rm\rightarrowtail 2.16cm^2[/tex]

Answer:

[tex]\sf Area \ of \ a \ Triangle=\dfrac12bh[/tex]

(where b is the base of the triangle and h is the height)

Given:

Substitute the given values into the formula:

[tex]\sf \implies Area=\dfrac12 \cdot 2.4 \cdot 1.8[/tex]

               [tex]\sf =2.16 \ cm^2[/tex]

Answer:

64 square in.

Step-by-step explanation:

4*4=16

4*6*1/2*4= 48

16+48= 64

Answer:

64in^2

Step-by-step explanation:

Surface area of pyramid =

[tex] \frac{1}{2}( p \times l) + b[/tex]

plugging the numbers in, 1/2(16*6)+16

SA= 64