A husband and wife are building a tiny house for a vacation getaway, and they want to measure the height of the roof of the house to see if they will be able to have a bedroom on the second floor. One side of the house is 18 ft long and the slant height of the roof along this side is 13 ft. The point on the roof's peak is above the center of the house. What is the height of the roof of the house? Round your answer to the nearest hundredth. Question 4 options: 9.38 ft 11.28 ft 15.21 ft 9.4

Answer:

B. 44cm

Step-by-step explanation:

d(diameter) = 2r (radius)

d = 2 X 22 cm

d = 44 cm

Answer:

right angled triangle

Step-by-step explanation:

the only triangle that this formula can be used to find a side is the right angled triangle

Answer:

Total Payment: $23.52

Savings: $4.15

Tax: $1.44

Answer:

2

Step-by-step explanation:

[tex]5x^2 +3x +2 = 0\\\\\text{Apply the quadratic formula,}~ x=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\\text{In this case,}~a= 5, ~ b = 3~ \text{and}~ c = 2\\\\ \\x=\dfrac{-3\pm \sqrt{3^2 -4\cdot 5 \cdot 2}}{2\cdot 5}\\\\~~~=\dfrac{-3 \pm \sqrt{9-40}}{10}\\\\~~~=\dfrac{-3 \pm \sqrt{-31}}{10}\\\\~~~=\dfrac{-3 \pm i\sqrt{31}}{10}\\\\\text{So, there are 2 solutions,}~ x=\dfrac{-3 + i\sqrt{31}}{10}~ \text{and} ~x=\dfrac{-3 -i\sqrt{31}}{10}[/tex]

Another  way to find the number of solutions is by looking at the highest exponent(Degree), which indicates the number of solutions.  

[tex]\\ \rm\rightarrowtail 5x^2+3x+2=0[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-3\pm \sqrt{9-40}}{10}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-3\pm\sqrt{-31}}{10}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-3\pm\sqrt{31}i}{10}[/tex]

Answer:

480

Step-by-step explanation:

[tex]80*6[/tex] = 480

Answer:

She will travel 480 miles in 6 hours

Step-by-step explanation:

All you need to do is Multiply 80 by 6 to get an answer of 480.

Hope that helps!

The volume of the composite solid is 4823.04 ft³.

Volume is the amount of space or the capacity of a solid shape.

To find the volume of the composite solid, we use the formula below.

Formula:

The volume of the composite solid = Volume of the cone + volume of the cylinder.

Where:

From the question,

Given:

Substitute these  values into equation 1

Hence, The volume of the composite solid is 4823.04 ft³.

Learn more about volume here: brainly.com/question/1972490

Answer:

12

Step-by-step explanation:

it would be 12 if it is unknown so 12 because y and x are used for unknown numbers.

i hope i got it right just tell me if this is wrong, please

The expression for the smaller number is q = x - 4

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the greater number be p = x

Let the smaller number be q

If the greater number is x, then the other number must be 4 less than x.

We can express this algebraically as:

On simplifying the equation , we get

q = x - 4

Hence , the other number is x - 4.

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

20 2/5 cm

Step-by-step explanation:

4 ( 5 1/10)

4 × 51/10

2×51/5

0.4x51

=20 2/5

Answer:

x = -8

Step-by-step explanation:

9+8x-4-5x=-19

5+8x-5x=-19

5+3x=-19

-5 =-19

3x = -24

3/3 = -24/3

x= -8

Answer:

3/4

Step-by-step explanation:

Answer:

Determine the point of intersection by using substitution and solving for the variables.

Explanation:

Solving a system of equations imply we find the point of interception.

To do this, we must use substitution to find one variable, and use that value to determine the exact value of the other.

Here, we'll isolate

x

.

−

2

x

−

2

y

=

−

4

−

2

x

=

2

y

−

4

x

=

−

y

+

2

Now that we have our variable expression, we can sub this into the other equation and solve for

y

.

2

x

+

3

y

=

9

2

(

−

y

+

2

)

+

3

y

=

9

−

2

y

+

4

+

3

y

=

9

4

+

y

=

9

y

=

5

Now that we know our

y

value, we can sub it into any equation to solve for

x

.

x

=

−

y

+

2

x

=

−

(

5

)

+

2

x

=

−

5

+

2

x

=

~

3

Thus, our point of intersection is

(

~

3

,

5

)

.

If we graph the two equations, we can see the point of intersection is in fact

(

~

3

,

5

)

.

graph{(-2x-2y+4)(2x+3y-9)=0 [-8.875, 11.125, -0.36, 9.64]}

Hope this helps :)

Answer:

-90 degrees counter clock wise

Step-by-step explanation:

it goes the opposite of a clock so it would be called -90 degrees counter clockwise, you could also say 270 degrees clockwise if the other isnt an option.

Answer:

⠀

Step-by-step explanation:

⠀

So,

[tex]{\longrightarrow \it\qquad { \ { (6n - 4) {}^{ \circ} = {(5n + 7)}^{ \circ} }}}[/tex]

⠀

Removing the brackets,

[tex]{\longrightarrow \it\qquad { \ { 6n - 4{}^{ \circ} = {5n + 7 \: }^{ \circ} }}}[/tex]

[tex]{\longrightarrow \it\qquad { \ { 6n - 5n = { 7 \: }^{ \circ} +4{}^{ \circ} }}}[/tex]

[tex]{\longrightarrow \it\qquad { \pmb{ n = { 11 \: }^{ \circ} }}}[/tex]

⠀

Therefore,

We will use the concept of Vertically Opposite angle here, i.e at the point of Intersection of two straight lines, the VOA (Vertically Opposite Angles) are equal

By using this property we will be having ;

[tex]{:\implies \quad \sf (6n-4)^{\circ}=(5n+7)^{\circ}}[/tex]

[tex]{:\implies \quad \sf 6n-5n=7+4}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{n=11}}}[/tex]

This is the required answer

Answer:

1. Degree= 6, trinomial

2. degree= 4, binomial

Step-by-step explanation:

1. The largest exponent is 6 making it the degree and there are three terms because (m^5n^2), (mn^2), (n^6).

2. Since (9a^2bc^2) has the more than 1 exponent, you add them and the  degree is 4. There are two terms because (2a^3b), (9a^2bc^2).

Answer:

According to the graph:

H^2 + 10^2 = 21^2

Solve as:

H = 18.19 feet

So the height is 18.19 feet

let's keep in mind that Profit = Revenue - Costs.

so each guitar costs originally "d" dollars online.

you buy the kits at half price, 50% of the original price, well, the original price is "d", half "d" is just 0.5d, and there's a shipping charge of $4.50.  So the Cost to get one kit alone for you is 0.5d + 4.50.

After some work, you resell the kits online for 1.5d + 4.5, so since that's the selling price that is your Revenue for one kit.

[tex]\stackrel{\textit{\Large Profit}}{\stackrel{Revenue}{(1.5d~~ + ~~4.50)}~~ - ~~\stackrel{Costs}{(0.5d~~ + ~~4.50)}}\implies 1.5d+4.5-0.5d-4.5 \\\\\\ 1.5d-0.5d+4.5-4.5\implies 1d\implies d[/tex]

Answer:

we're u asking for this

What is ur statistical question

Answer:

-1/4

Step-by-step explanation:

14x - 2x + 3 = 0
12x + 3 = 0
12x = -3
12x/12 = -3/12
x = -1/4

Answer:

y= 2x-5

Step-by-step explanation:

The slope formula is m=(y2-y1)/(x2-x1)

-3-1 / 1-3 = -4/-2= 2=m

The Y interception- y=mx+b using coordinates (3,1)

1=2(3)+b

1=6+b (subtracting 6 on both sides to isolate b)

-5=b

plug it in

y=2x-5

Answer:

Car 1: 72 mph

Car 2: 92 mph

Step-by-step explanation:

Car 1: 72 mph

288/4 = 72

72mph

Car 2: 92 mph

276/3

92 mph

Have an amazing day!!

Please rate and mark brainliest!!

We can conclude that the reasonable slope of a model that fits the given data is: C. 1.

Slope = change in y/change in x.

To find the slope of that fits the data, pick any two points on the scatter plot, say, (12, 1985) and (16, 1988)

Slope = (1988 - 1985)/(16 - 12) = 0.75 ≈ 1.

Therefore, we can conclude that the reasonable slope of a model that fits the given data is: C. 1.

Learn more about slope on:

https://brainly.com/question/3493733

Answer:

The answer is 34

Step-by-step explanation:

Now,

Common Difference (d)

d = a₂ – a₁ = 304 – 310 = -6

d = a₃ – a₂ = 298 – 304 = -6

Here, common difference is same everywhere

So,

aₙ = a + (n – 1) × d

a₄₇ = 310 + (47 – 1) × (-6)

a₄₇ = 310 + 46 × (-6)

a₄₇ = 310 – 276

a₄₇ = 34

Thus, The 47th term of this sequence is 34.

Answer:

[tex]f^{-1}(x)[/tex] will be equal to 9y+18

Step-by-step explanation:

[tex]f^{-1}(x)[/tex] will be equal to 9y+18

Answer:

is it 7?

Step-by-step explanation:

if he rode for 8 seconds and it says she rode for 2 seconds FEWER are you not subtracting from 8 to get 7?

Using the Central Limit Theorem, it is found that the standard deviation is of 0.0971.

In this problem, for each sample, the standard error is given by:

[tex]s_I = \sqrt{\frac{0.25(0.75)}{50}} = 0.0612[/tex]

[tex]s_{II} = \sqrt{\frac{0.35(0.65)}{40}} = 0.0754[/tex]

Hence, for the distribution of differences, it is given by:

[tex]s = \sqrt{s_I^2 + s_{II}^2} = \sqrt{0.0612^2 + 0.0754^2} = 0.0971[/tex]

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

Answer:

M = 8 N = 10

Step-by-step explanation:

Multiplying exponents adds the exponent, meaning that inside of the brackets, it is a^4 * b^5. Multiply the exponents by two because you are squaring the entire equation. Therefore, m=8 and n=10

Answer:

The amount of money left for each section to spend from the budget in additional costs if they follow exact of the

options is

Option 1-$497.5

Option 2 - $494.5

Option 3 - $500.5

The image to show the amounts to match to isn't attagged to the question, but these are the answers and they should

be matched accordingly.

Step-by-step explanation:

We first calculate the amount left per section after following each of the options.

Budget $4,428.00

Option 1.

Repair and replace uniforms at $564.00 per section and spend $182.00 on music.

There are 4 sections, hence, total amount spent in this option:

4(564) + 182 $2438

Amount of money left from the budget after spending= 4428-2438 = $1990

Amount left per section = (1990/4) =

$497.5

Option 2

ធ

Repair and replace uniforms at $593.00 per section and spend $78.00 on music.

There are 4 sections, hence, total amount spent in this option:

4(593) + 78 $2450

Amount of money left from the budget after spending= 4428 - 2450= $1978

Amount left per section = (1978/4)=

$494.5

Option 3

Repair uniforms at $287.00 per

section, spend $856.00 for improving the acoustics in the band room, and spend $422.00 on music and repairing instruments.

There are 4 sections, hence, total amount spent in this option:

4(287) + 856 +422 = $2426

Amount of money left from the budget

after spending = 4428-2426 = $2002

Amount left per section = (2002/4)= $500.5

Answer:

1. -3          2. y=-1

Step-by-step explanation:

Answer:

D. A’(-4,-4), B’(-4,4)C’(8,-4)

Step-by-step explanation: