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Answer:

Step-by-step explanation:

here opposite =20, hypotenuse=29

to find adjacent use formula

a^2+b^2=c^2

20^2+b^2=29^2

400+b^2=841

b^2=841-400

b=[tex]\sqrt{441\\}[/tex]

b=21

tan theta=opposite/adjacent

=20/21

therefore tan theta =20/21

Answer:

D. tanθ = 20/21

Step-by-step explanation:

Remember that sinθ = opposite/hypotenuse. In this case, since sinθ = 20/29, we are going to say that opposite = 20 and hypotenuse = 29.

To solve for the adjacent side, use the Pythagorean theorem, a^2 + b^2 = c^2.

When you plug in your values and solve for the other leg, you'll get 21.

Now that we know that the adjacent side/other leg is equal to 21, we can find tanθ, since it's equal to opposite/adjacent.

Opposite = 20

Adjacent = 21

tanθ = 20/21

Answer:

C

Step-by-step explanation:

'x=' create vertical lines which are not functions whereas

'y=' create horizontal lines which are functions

Answer:

45 degrees

Step-by-step explanation:

360/2=180

180/2=90

90/2=45

Answer:

He can fill 3 crates, there would be 1 orange left over

Step-by-step explanation:

four equal rows of three oranges = 12 total. 12x3= 36, so 1 left over

Answer:

8 nails

Step-by-step explanation:

because 4x2=8

Answer: $11.25

Step-by-step explanation:

Since the sneakers were on sale for 15% less, the amount she bought them will be:

= (100% - 15%) × $75

= 85% × $75

= 0.85 × $75

= $63.75

Therefore, the amount she saved will then be:

= $75 - $63.75

= $11.25

She saved $11.25

Answer:

The answer is "[tex]9a^4b^{10}(2+6a^6b^5)(2-6a^6b^5)[/tex]"

Step-by-step explanation:

For point a:

[tex]36a^4b^{10} - 81a^{16}b^{20}[/tex] by GCF

Calculating the const terms:[tex]36 \ n \ 81, \ GCF \ is\ 9\times 4 \ n \ 9\times 9[/tex]

Calculating the terms  [tex]w\ a: a^4 \ n \ a^{16},\ GCF \ is\ a^4 \ n \ a^4 \times \ a^{12}[/tex]

Calculating the terms [tex]w \ b: b^{10}\ n\ b^{20}, \ GCF \ is\ b^{10}\ n \ b^{10} \times b^{10}[/tex]

Including the GCFs, [tex]36a^4 b^{10} - 81a^{16}b^{20}[/tex]

[tex]=9a^4b^{10}(4 - 9a^{12}b^{10})\\\\4=2^2 n 9a^{12}b^{10}\\\\=(3a^6b^5)^2[/tex]

Calculating the difference of squares

[tex]\to A^2 - B^2 = (A+B)(A-B)\\\\\to 4 - 9a^{12}b^{10} \\\\\to (2+3a^6b^5)(2-3a^6b^5)\\\\[/tex]

substituting

[tex]\to 36a^4b^{10} - 81a^{16}b^{20}\\\\\to 9a^4b^{10}(2+3a^6b^5)(2-3a^6b^5)[/tex]

For point b:

Calculating the difference of squares:

[tex]A^2 - B^2 = (A+B)(A-B)\\\\36a^4b^{10}=(6a^2b^5)^2\\\\81a^{16}b^{20}=(9a^8b^{10})^2\\\\36a^4b^{10} - 81a^{16}b^{20}\\\\=(6a^2b^5+9a^8b^{10})(6a^2b^5-9a^8b^{10})\\\\=3a^2b^5(2+6a^6b^5)3a^2b^5(2-6a^6b^5)\\\\=9a^4b^{10}(2+6a^6b^5)(2-6a^6b^5)[/tex]

9x + 18 = 6(x + 3) + 3x = 3(3x + 6)

3x + 15 = 3(2x + 5) - 3x = x + 2x + 15

Answer:

Finding volume:

2^2 = 4

4 x 3.14 = 12.56

12.56  x 8(height) = 100.48

100.48 divided by 3 ( x 1/3 ) =  around 33.49 in3 is your answer.

If the options dont give you 33.49 just go by 33.51 cubic meters.

Answer:

12

Step-by-step explanation:

Answer:8 mph

Step-by-step explanation:

Answer:

25.55

Step-by-step explanation:

Let us take the number he thinked of be x .

On doubling it :-

→ N = 2x

On adding 19 :-

→ N = 2x + 19

According to Question :-

→ 2x + 19 = 70.1

→ 2x = 70.1 - 19

→ 2x = 51.1

→ x = 51.1/2

→ x = 25.55

Answer:

120-x

Step-by-step explanation:

If x is already less, then you don't need absolute value

Answer:

area of lawn = 15.708 square meters

Step-by-step explanation:

pi 3 squared (area of lawn and flower bed) - pi 2 squared (area of flower bed)= area of lawn

Answer:

3/4 pizza is left. If you want an explanation, ask me ;>

Answer:

1.36

total cans =11

the prob. of drawing orange juice can= 4/11

the prob of drawing apple juice can= 7/11

the prob of drawing any of the juice= 4/11 + 7/11

= 15/11

= 1.36

Answer:

2

Step-by-step explanation:

4/2=2

2+2=4

4-2=2

Answer:

2

Step-by-step explanation:

(No step-by-step explanation)

Answer:[tex]g(x)=\frac{3}{7}(21(x+5))^{1/2}[/tex]

Step-by-step explanation:

Transformation rule:

Shifting by k units left : [tex]f(x)\to f(x+5)[/tex]

Dilation by a factor of h units: [tex]f(x)\to hf(x)[/tex]

Let g be a horizontal shrink by a factor of 3/7, followed by a translation 5 units left  of the graph of [tex]f(x)=(21x)^{1/2}[/tex]

The rule for g described by the transformations of the graph of f. : [tex]g(x)=\frac{3}{7}(21(x+5))^{1/2}[/tex]

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

Write what you know

A square has 4 sides

the perimeter is the sum of the length of all 4 sides

so 4yards / 4 sides = 1 yard per side

we also know a square has all equal sides

that means our area formula will be 1 x 1

Answer:

Step-by-step explanation:

=x^2-x+3+3x^2-3x+2

=5x^2-4x+5

Answer:

Step-by-step explanation:

A i think

Answer:

Unit price of roast beef = $6.86

Step-by-step explanation:

Given:

Cost of [tex]1\frac{3}{4}[/tex] pound package of roast beef = $12

Find:

Unit price of roast beef

Computation:

Unit price of roast beef  = Cost of 1 pound package of roast beef

[tex]1\frac{3}{4}[/tex] pound package of roast beef = 7 / 4 = 1.75 pound package of roast beef

Cost of 1 pound package of roast beef = Total cost / Total mass

Cost of 1 pound package of roast beef = 12 / 1.75

Cost of 1 pound package of roast beef = 6.857

Unit price of roast beef = $6.86

Answer:

$6.75

Step-by-step explanation:

1/5 of £5.60 is $1.15

5.60 +1.15 = 6.75

(I think this is the answer but it most likely is correct)

Answer: The slope between these two is 3.5

Answer:

Solpe=4.5

Step-by-step explanation:

Sorry if I’m wrong, but I think I got it.

So the formula for slope is    y2-y1/x2-x1  

In (-3,-2) )-7,-16),  -3 is x1, -2 is y1, -7 is x2, and -16 is y2.

Now, you need to fill in the formula with these numbers.

-16-2/-7- - 3

-16-2 is -18

-7- - 3 is -4 (two negatives make a positive)

This makes -18/-4. Divide this to get 4.5.

Let me know if you have any questions!! :)