A rectangle has a width of 4 units and a length of m units write an expression for the area of this rectangle

10 points

Step-by-step explanation:

Let the remaining angle be z.

45+z=90

z=90-45

z=45

y=9(isoceles triangle)

Then,

By pythagoras theorem,

x=9root2

Answer:

Step-by-step explanation:

Did you try adding it all up and combine the like terms to get your answer

The solution of the equation x³ = 16 will be;

⇒ x = 2.519

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ x³ = 16

Now,

Since, The equation is,

⇒ x³ = 16

Solve for x as;

⇒ x = ∛ 16

⇒ x = 2.519

Thus, The solution of the equation is,

⇒ x = 2.519

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Answer:

[tex]\sqrt{90}[/tex]

Step-by-step explanation:

Please see the attached image. Using the coordinates of two points, you can find the distance between them using this formula.

[tex]d=\sqrt{(-2-7)^{2}+(-1-(-4)^{2} } =\sqrt{(-9)^{2} +3^{2} } =\sqrt{81+9} =\sqrt{90}[/tex]

Answer:

3. 3/4

hope this helps

The expression 12 - (33/4) is equal to 15/4.

To express 12 - (33/4) as a fraction, we need to find a common denominator for the subtraction. The common denominator should be a multiple of 4, which is the denominator of (33/4).

We can rewrite 12 as an equivalent fraction with a denominator of 4:

12 = 48/4.

Now, we can rewrite the expression as:

48/4 - 33/4.

Since the denominators are the same, we can subtract the numerators directly:

(48 - 33) / 4 = 15/4.

Therefore, 12 - (33/4) is equal to 15/4.

In fraction form, the result is 15/4. This means that when we subtract 33/4 from 12, the answer can be represented as the fraction 15/4.

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Hello!

This is a problem about relating values of the Unit Circle.

First, we need to figure out the specific "points" of each angle measure of 30 and 60.

For the angle measure 30, the point will be [tex](\frac{\sqrt{3}}{2},\frac{1}{2})[/tex].

For the angle measure 60, the point will be [tex](\frac{1}{2},\frac{\sqrt{3}}{2})[/tex].

The tangent value of a point will be its [tex]y[/tex] value over its [tex]x[/tex] value.

[tex]\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}=\frac{1}{2}*\frac{2}{\sqrt{3}}=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]

The cotangent value of a point will be the reciprocal of the tangent value, which we found previously.

[tex]\frac{3}{\sqrt{3}}=\frac{3\sqrt{3}}{3}=\sqrt{3}[/tex]

The sine value of a point will be the [tex]y[/tex] value of the point.

[tex]\frac{\sqrt{3}}{2}[/tex]

So the values we have so far are [tex]\frac{\sqrt{3}}{3}+\sqrt{3}+\frac{\sqrt{3}}{2}[/tex]

Now we have to find the LCD to add these together, which in this case would be 6.

[tex]\frac{2\sqrt{3}}{6}+\frac{6\sqrt{3}}{6}+\frac{3\sqrt{3}}{6}[/tex]

Which adds up to [tex]\frac{11\sqrt{3}}{6}[/tex], which is in simplest radical form.

Hope this helps!

Answer:

1:7, 1/7, 1 to 7

Step-by-step explanation:

5/35 = 1/7

Answer:

1 to 7

Step-by-step explanation:

Answer:

The right solution is "$ 60,887.28". A further explanation is provided below.

Step-by-step explanation:

The given values are:

Sticker price,

= $63,000

Dealer cost,

= $56,904

Offer,

= 7%

Now,

The 7% dealer cost will be:

= [tex]\frac{7}{100}\times 56,904[/tex]

= [tex]3,983.28[/tex] ($)

hence,

Amount offered will be:

= [tex]56,904+3,983.28[/tex]

= [tex]60,887.28[/tex] ($)

Answer:

2.

Step-by-step explanation:

y = 3/4x +1

m = 3/4 b = 1

hope this helps

Answer:

I need a picture of the problem to be able to solve it.

Step-by-step explanation:

Answer:

12x² + 17x - 5

Step-by-step explanation:

Given

(3x + 5)(4x - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

3x(4x - 1) + 5(4x - 1) ← distribute parenthesis

= 12x² - 3x + 20x - 5 ← collect like terms

= 12x² + 17x - 5

Answer:

50 times h=d

Step-by-step explanation:

Answer:

[tex]y = \frac{8}{3} x-5[/tex]

Step-by-step explanation:

120 ÷ ( 3 + 5 ) = 120 ÷ 8 = 15

15 × 3 = 45

15 × 5 = 75

_________________________________

Answer:

15:75

Step-by-step explanation:

120 = 3x plus 5x

120 = 8x

120/8 = x

x = 15

3*15 = 45 and 5*15 = 75

Answer:

D

Step-by-step explanation:

Answer:

35 - 4x = 3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

35−4x=3

35+−4x=3

−4x+35=3

Step 2: Subtract 35 from both sides.

−4x+35−35=3−35

−4x=−32

Step 3: Divide both sides by -4.

-4x/−4  =  −32/ −4

x=8

Answer:

8 friends

Step-by-step explanation:

4 doesn't go evenly to 9 ppl so it would be 8 friends and 3 extra pieces

Answer:

Option C

Option D

Step-by-step explanation:

We have to calculate each expression to find for which one is the solution is x=25.

A)

[tex] \frac{x + 6}{3} = 10 \\ x + 6 = 10 \: . \: 3 \\ x + 6 = 30 \\ x = 30 - 6 \\ x = 24[/tex]

B)

[tex]x - 8 = 32 \\ x = 32 + 8 \\ x= 40[/tex]

C)

[tex]6x - (15 + 4x) = 35 \\ 6x - 15 - 4x = 35 \\ 2x = 35 + 15 \\ 2x = 50 \\ x = \frac{50}{2} \\ x = 25[/tex]

D)

[tex] \frac{3x}{5} = 15 \\ 3x = 15 \: . \: 5 \\ 3x = 75 \\ x = \frac{75}{3} \\ x = 25[/tex]

E)

[tex]4(x - 18) = 12 \\ x - 18 = \frac{12}{4} \\ x - 18 = 3 \\ x = 3 + 18 \\ x = 21[/tex]

Answer:

Go on your app store on your phone

Step-by-step explanation:

Download photo math and it will answer all that, check my previous answers if you don't believe me. I'm telling the truth

Answer:

if you use the 10 feet ladder base is 6 feet

if you use 12 feet ladder base is 8.94 feet

if you use 15 feet ladder base is 12.69 feet

Step-by-step explanation:

you know the ladder length so you know the hypotenuse

you can use a^2 + b^2= c^2

for example you use the 10 feet ladder

8^2+b^2 = 10^2

64 + b^2 = 100

subtract 64 from both sides

b^2=36

to get rid of the exponent find square root

b= 6

you can plug in the different values like 15 or 12

Answer:

Step

1 | Translate △DEF 7 units up.

2 | Translate △DEF 6 units to the left.

This is word by word so you may want to change it up a bit. Have a great day.

Step-by-step explanation: On PLATO, you may provide and record fewer steps. The answer will vary but may resemble an answer based off the mapping of △DEF to △ABC.

Answer:

Step-by-step explanation:

Answer:

C: monomial

Step-by-step explanation:

 You need to classify the polynomial. But before we start, let's recall the basic classifications of polynomials:

Monomials

Binomials

Trinomials

Polynomials

What are monomials?

 - expressions with only one term

What are binomials?

 - expressions with two terms

What are trinomials?

- expressions with three terms

What are polynomials?

- expressions with four or more terms

30x is an expression with only one term, so it's a monomial.

∴ letter C: monomial

Answer:

the correct answer is -6

Answer:0

Step-by-step explanation:

-1

Answer:

0.03

Step-by-step explanation:

!

Answer:

(72.5,87.5)

Step-by-step explanation:

The interval of times that represents the middle 99.7% of his finishing times in the 400 meter race is; (73.5, 87.5)

We are given;

Mean; E(X) = μ = 80 seconds

Standard Deviation; σ = 2.5

From the empirical rule, the probability of obtaining values within one deviation from the mean is 0.68; within two deviations is 0.95 and within 3 deviations from the mean is 0.997.

We have 99.7 % of the values within 3 deviations from the mean in our question and so the intervals are;

μ - 3σ = 80 - 3(2.5) = 73.5

μ + 3σ = 80 + 3(2.5) = 87.5

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Answer:

There is a 92°F difference between the two cities.

Step-by-step explanation:

Since you are finding the difference of temperatures between the two cities, you need to subtract -14 from 78. It looks like 78-(-14). Since you are subtracting a negative number, the equation becomes 78+14. 78+14 is 92.

Answer:

8.45

Step-by-step explanation:

Answer:

1/5 is your anwer

Step-by-step explanation: