A 90 ° angle is divided into 2 angles. Find the size of the angles. 3x+15 and 2x+25

Answer:

Step-by-step explanation:

Rewrite the 3 fractions to have a common denominator:

1/4 = 5/20

2/5 = 8/20

3/4 = 15/20

Now solve:

5/20 - 8/20 + 15/20 = 12/20

12/20 can simplify to 3/5

Answer: 3/5

The complete factored  form of the quadratic expression is (x-8y)(x-8y)

Quadratic expressions are expressions that has a leading degree of 2

Given the expression

x^2 – 16xy + 64y^2

Factorize

x^2 - 8xy - 8xy + 64y^2

Group

(x^2 - 8xy) - (8xy + 64y^2)

x(x-8y) - 8y(x - 8y)

Since (x-8y) is common, hence;

x^2 - 8xy - 8xy + 64y^2 = (x-8y)(x-8y)

The complete factored  form of the quadratic expression is (x-8y)(x-8y)

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Answer:     c on edg

Step-by-step explanation:

Answer:

£10.40

Step-by-step explanation:

Latte = £2.60
2 Hot Chocolates = £6.00
Tea = £1.80
Total = £2.60 + £6.00 + £1.80 = £10.40

Answer:

£10.40

Step-by-step explanation:

Add the cost of the drinks together to find the total cost:

[tex]\begin{tabular}{r r}Latte & \£2.60\\Hot Choc & \£3.00\\ Hot Choc & \£3.00\\Tea & \£1.80\\\cline{1-2} Total & \£10.40\\\cline{1-2}\end{tabular}[/tex]

Answer: 24

Step-by-step explanation: 24 divided by 8 = 3. Hope this helped.

Answer:

5.7 meterslong and 5.8meters width

Answer:

42

Step-by-step explanation:

To fine the value of the expression 4m-6 when m = 12, we can plug our value for x (12) into or expression, and then simplify.

So first,

4(12) - 6

Multiply our 4 and 12 ==>

48 - 6

Now subtract the 6 ==>

42

And we have our answer!

Hope this helped!

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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

          Evaluate 4m-6 for m=12

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

The value of the expression is 30.

[tex]\blue{\textsf{\textbf{\underline{\underline{How to Solve:-}}}}[/tex]

Simply write the value of m in lieu of m and simplify:-

4(12)-6

Multiply 4 times 12 first, then subtract 6:-

36-6

[tex]\fbox{30}[/tex]

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The amount will be equal to $14478.22.

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

A = P (1+R/2)^2t

Where, A = Amount after 6 years = $26,000; P = Amount invested now; R = Annual rate of earning = 10% = 0.06; t = time = 6 years.

Substituting;

[tex]26000 = P(1+\dfrac{0.1}{2})^{2*6}=P(1.7958)[/tex]

Therefore, P = 26000/1.7958 = $14478.22

Thus amount will be equal to $14478.22.

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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What is the surface area of a cylinder with height 4 mi and radius 7 mi?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

[tex]\textsf{Formula for Surface Area of a Cylinder:-}[/tex]

[tex]\dashrightarrow\bigstar\boxed{\bold{A=2\pi rh+2\pi r^2}}\dashleftarrow[/tex]

Where

[tex]\bold{A=area}[/tex]

[tex]\bold{\pi =pi\:(3.14...)}[/tex]

[tex]\bold{r=radius}[/tex]

[tex]\bold{h=height}[/tex]

Given:-

[tex]\bold{r=4mi}[/tex]

[tex]\bold{h=7\:mi}[/tex]

Solving for Surface Area:-

[tex]\bf{A=2\pi (4)(7)+2\pi (4)^2}[/tex]

[tex]\bf{A=2\pi (28)+2\pi (16)}[/tex]

On further simplification,

[tex]\bf{A=56\pi +32\pi }[/tex]

Now we just add the pi's together:-

[tex]\bf{A=88\pi }[/tex]

And finally,

[tex]\dashrightarrow\bf{\underline{A=276.460\:mi^2}\dashleftarrow[/tex]

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Answer:

12.56 m²

Step-by-step explanation:

Given,

π = 3.14

d = 4m

To find : A

Formulas : -

1 ) r = d/2

2 ) A = πr²

r = 4 / 2 = 2m

A = πr²

  = 3.14 x 2²

  = 3.14 x 2 x 2

A = 12.56 m²

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: a = \pi {r}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a = 3.14 \times {2}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a = 3.14 \times {4}^{} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a = 12.56 \: \: m {}^{2} [/tex]

The person that might want to claim exemption on the W-4 form is John who received money from his internship.

This is possible if your income does not derive from:

John can likely be exempted because he obtained the money from an internship, which is not a formal job.

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Answer:

1. 8

2. 7.8

3. 7

4. 9.3

Step-by-step explanation:

6+10/2=8

8.5+7/2=7.8

6+8/2=7

9+9.5/2=9.3

The value of the expression 1 [tex]$\frac{5}{7}[/tex]  x  3 [tex]$\frac{1}{4}[/tex] will be 9 [tex]$\frac{3}{4}[/tex]

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given is the following expression -

1 [tex]$\frac{5}{7}[/tex] and 3 [tex]$\frac{1}{4}[/tex]

On multiplying the expression, we get -

1 [tex]$\frac{5}{7}[/tex]  x  3 [tex]$\frac{1}{4}[/tex]

(12/7)  x  (13/4)

39/4

9 [tex]$\frac{3}{4}[/tex]

The value of the expression 1 [tex]$\frac{5}{7}[/tex]  x  3 [tex]$\frac{1}{4}[/tex] will be 9 [tex]$\frac{3}{4}[/tex]

Therefore, the value of the expression 1 [tex]$\frac{5}{7}[/tex]  x  3 [tex]$\frac{1}{4}[/tex] will be 9 [tex]$\frac{3}{4}[/tex]

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[tex]\huge\color{pink}\boxed{\colorbox{Black}{♔︎Answer♔︎}}[/tex]

75 miles

Step-by-step explanation:

On map

The distance between Milwaukee and Muskegon is 1.5 inches

While in real

1 inch = 50 miles

So the actual distance will be

1.5 × 50

75 miles

Answer:

75 miles

Explanation:

Here map to actual to scale: 1 inch = 50 miles

To find actual distance, simply multiply map distance by scale factor

Actual Distance : 1.5 × 50 = 75 miles

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What is the slope of the line passing through points (3, -2) and (3, 10)?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

We can use the slope formula:-

[tex]\boxed{\displaystyle\frac{y2-y1}{x2-x1}}[/tex]

[tex]\boxed{\frac{10-(-2)}{3-3}}[/tex]

[tex]\boxed{\frac{12}{0}}[/tex]

undefined

Remember, if we divide a number by zero, the result is infinity, and infinity is not a number.

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Step-by-step explanation:

a)

the total length of the outer or also only the inner perimeter ?

I assume the second case. but it is not difficult to change it to the outer perimeter case (per the information of b).

the total length consists of a straight side and 2 radius (left and right) of the end circles.

a radius is half the diameter, so 2×radius = 1 diameter.

so,

400 = length + 49

length = 400 - 49 = 351 m

the length of the straight sides is 351 m.

b)

the difference in length between both perimeters bases only on the difference in length of the circumference of the end circles. the lengths of the straight sides remain the same, not matter if outer or inner perimeter.

the circumference of 2 half circles is the circumference of 1 whole circle.

the circumference of a circle is

2×pi×r = pi×diameter

in our case for the inner perimeter

pi×49 = 153.93804... m

for the outer perimeter the radius and therefore the diameter changes : we have to add 6×1.5 m = 9 m on both sides of the circle

so, the radius of the outer circles is 9 m longer and the diameter 9×2 = 18 m longer : 49 + 18 = 67 m

so, we get for the outer circle perimeter

pi×67 = 210.4867078... m

therefore, the difference in the length of outer and inner perimeter is

210.4867078... - 153.93804... = 56.54866776... m

Answer:

The area is 292.5 cm2

The surface area of the sphere based on the information will be 2304π.

It should be noted that the radius of the circle will be 1/2 the length of the line. Therefore, the radius in the shape will be:

= 1/2 × 48

= 24 units.

Therefore, the area of the sphere will be:

= 4πr²

= 4 × π × 24²

= 2304π

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Answer:

0.035 3.5×10-²

Step-by-step explanation:

im sorry that is my answer thank you

the hmmm cheap way to go about is, usually using the x = 1 and x = 0 pairs.

[tex]y = ab^x\hspace{5em} \begin{array}{|rr|ll} \cline{1-2} x&y\\ \cline{1-2} -2&1\\ -1&3\\ 0&9\\ 1&27\\ 2&81\\ \cline{1-2} \end{array} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=0\\ y=9 \end{cases}\implies 9~~ = ~~ab^0\implies 9=a(1)\implies 9=a~\hfill \underline{y=9b^x} \\\\\\ \begin{cases} x=1\\ y=27 \end{cases}\implies 27~~ = ~~9b^1\implies \cfrac{27}{9}=b^1\implies 3=b~\hfill \underline{y=9(3)^x}[/tex]

Answer:

2/3

Step-by-step explanation:

log27(9)

Factor the number: 27=3³

= log3³(9)

Apply log rule: loga^b(x) - 1/b loga(x).

log3³(9) =1/3 log3³(9)

=1/3 log3³(9)

Factor the number: 9=3²

=1/3 log3³(3²)

Apply log rule: loga(a^b) =b

log3 (3²) =2

1/3×2

=2/3

Answer: p=-4

Since,

=> p-4=-8

=>p-4+4 =-8+4(adding 4 both sides)

=>p=-4 ans.

Answer:

-4

Step-by-step explanation:

Given

Add 4 to both sides.

Hence, the value of p in the equation is -4.

Answer:

[tex]\sf \boxed{\sf \frac{3}{2} } \ miles \ per \ day[/tex]

Explanation:

[tex]\sf unit \ rate: \dfrac{Total \ distance \ (miles)}{Total \ time \ taken \ (day)}[/tex]

Here given:

[tex]Total \ Distance : 8\dfrac{1}{4} \ or \ 8.25[/tex]

[tex]Total \ Time \ taken : 5\dfrac{1}{2} \ or \ 5.5[/tex]

Find unit rate:

[tex]\rightarrow \sf unit \ rate: \dfrac{8.25 }{5.5 }[/tex]

[tex]\rightarrow \sf unit \ rate: 1.5 \ miles \ per \ day[/tex]

Unit rate

Answer:

11285

Step-by-step explanation:

Answer:

11,285

Step-by-step explanation:

Line up the numbers so that ther columns add up.

Add the two numbers in the column starting from the right.

The first digit goes to the next column over to the left and the second digit goes directly under the column of the numbers that were added together.

Repeat the steps above till there are no columns left.

The area of the rectangular base of his friend's tank is 468.75 square inches. So, Option D is correct.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

One of Julian's friends also has a rectangular aquarium.

The dimensions of his friend's tank are each exactly 1 1/4 times the dimensions of Julian's tank.

Let x be the length of Julian's tank.

Let y be the width of Julian's tank.

So, the Area of Julian's tank = length × Width

                                               = xy

Since we are given

300 = xy

Now we are given that the dimensions of his friend's tank are each exactly times the dimensions of Julian's tank.

So, the length of his friend's tank = 5/4 x

So, the width of his friend's tank = 5/4 y

So, Area of his friend's tank = ( 5/4 x) (5/4 y)

                                           = 25 / 16 xy

                                           = 25 / 16 (300)

                                           = 468.75

Hence the area of the rectangular base of his friend's tank is 468.75 square inches.

So, Option D is correct.

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Answer:

450 in ^3

Step-by-step explanation:

V=1/4h (to the root)﹣a^4+2(ab)^2+2(ac)^2﹣b^4+2(bc)^2﹣c^4

a-5

b-13

c-12

h-15

so put these numbers into the formula.

You get 450 as your answer.

I hope this helps, have a lovely day.