The legs of a right triangle are 8 and 9 units long. What is the area of the triangle in square units?

Answer:

#1 d #2 c

Step-by-step explanation:

to get these answers I just did the math on all of them

Answer:

3x√5 + 5√3x + 6√10x + 10√6 (Option 2)

Step-by-step explanation:

Applying the distributive property :

⇒ (√(3x) + √5)(√(15x) + 2√30)

⇒ √(3x)√(15x) + √5√(15x) + √(3x)(2√30) + √5(2√30)

⇒ √45x² + √75x + 2√90x + 2√150

⇒ 3x√5 + 5√3x + 6√10x + 10√6

Let's see

Option B

Check the picture below.

Answer:

a.i.

[tex]mab = \frac{ya - yb}{ xa - xb} = \frac{8 - 4}{9 - 12} = \frac{4}{ -3} [/tex]

a.ii.

[tex]mc = mab = \frac{4}{ - 3} \\ (y - y1) = m(x - x1) \\ y - ( - 2) = \frac{4}{ - 3}(x - 4) \\ y + 2 = \frac{4}{ - 3}x + \frac{16}{3} \\ y = \frac{4}{ - 3} x + \frac{16}{ 3} - 2 \\ y = \frac{4}{ - 3}x + \frac{10}{3} [/tex]

Answer:

C.

Step-by-step explanation:

-3 7/8 rounds down to -4

4.63 rounds up to 5

-4 x 6 + 5

-24 + 5

-19

her answer (-19.14) also rounds to -19

So yes, it is reasonable and the correct response is C.

Answer:

180 feet

Step-by-step explanation:

Starting number is 300.  Four moves of 30 feet is 120 feet.

30x4 = 120

300-120 = 180

Answer:

180 feet.

Step-by-step explanation:

Remark

You need some formal way of expressing what is happening. You start at 300 feet below sea level, and make make 4 moves of 30 feet each. Where are you and how much further do you have to go to reach the surface?

Equation

Distance to go = distance in feet below sea level - number of moves *  feet / move.

Givens.

original distance below sea level = 300 feet.

number of moves = 4

distance towards the surface for each move = 30  feet.

Distance to go. = ?

Solution

Distance to go = 300  - 4*30

Distance to go = 300 - 120

Distance to go = 180 feet

[tex]\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=4\\ r=5 \end{cases}\implies \begin{array}{llll} SA=2\pi (5)(4+5)\implies SA=10\pi (9) \\\\\\ SA=90\pi \implies SA\approx 282.743~km^2 \end{array}[/tex]

Answer:

3

Step-by-step explanation:

75% is equal to 3/4

The easiest way to do this is to divide 12 by 4.

12/4 = 3

Now multiply this by three to get 3/4 of 12.

3 x 3 = 9

9 dogs left the shelter.

12 - 9 = 3

There are three dogs left.

         In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x,

        So in other words, a logarithm is the power to which a number must be raised in order to get some other number . For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because. 102 = 100.

Hope this helps. Have a good day!

Answer:

Step-by-step explanation:

Find each term

The series is

The sum of series can be shown as

Find the sum

Answer:

180

Step-by-step explanation:

The given series means to sum the first 10 terms of the sequence [tex]a_t=2t+7[/tex]

[tex]\begin{aligned}\displaystyle \sum^{10}_{t=1}2t+7 & = (2 \cdot 1+7)+(2 \cdot 2+7)+...+(2 \cdot 9+7)+(2 \cdot 10+7)\\ & =2(1+2+...+9+10)+10(7)\\\\& = 2(1+2+...+9+10)+70\\\\ & = 2(55)+70\\\\& = 110+70\\\\ & = 180 \end{aligned}[/tex]

Answer:

we are given A collector’s item is purchased for $150so, its value increases by 3% each yearso, t is time in yearsLet's assume cost of item after t years is C(t)so, we can use formula now, we can plug values so, equation is After doubling C(t)=2*150=300so, we can set C(t)=300and then we can solve for twe get so, doubling time is 23.44977 years

Answer:

B works ; it starts at 150, is positive, and slowly reaches 300

Step-by-step explanation:

Edge

Answer:

no picture

Step-by-step explanation:

just search it up

Answer:

Yes, because the monthly service fee is approximately the same each month.

Step-by-step explanation:

At one month, the service fee is around $50, then from month one to month two the service fee is around $50, and so on. Just focus on the line and the points it makes in respect to the month to cost ratio.

Answer:

The graph I expect to have a negative correlation is the third graph.

Step-by-step explanation:

Positive correlation is when the the x-values increase with a corresponding increase in y-values.

Negative correlation is when the x-values increases with a corresponding decrease in y-values.

No correlation is when only x or y variable changes.

From the graphs given the only one that has a negative correlation is the third graph.

Answer:

O is in between m and p so it is 6

Step-by-step explanation:

In the figure below, O is between M and P, and N is the midpoint of MO. If =MP16 and =NO4, find OP.

Answer:

Step-by-step explanation:

The height of the pole and the building are 27.1 meters and 97.8 meters respectively.

The situation forms a right angle triangle. The height of the building can be found using trigonometric ratios,

Therefore,

tan 34 = opposite / adjacent

tan 34 = h / 145

h = 145 tan 34

h = 145 × 0.67450851684

h = 97.8037349422

Therefore,

height of the building = 97.8 meters

tan 26 = x / 145

x = 145 tan 26

x = 70.721225342 meters

Therefore,

height of the flagpole = 97.8 - 70.7 = 27.1 meters

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The pattern of the sentences are:

1. Subject + verb + object

2. Subject + verb.

3. Subject + verb + object

4. Subject + verb + adjectives.

Sentence patterns is known to be a sentence that is said to be made of up of phrases and also clauses.

Therefore, The pattern of the sentences are:

1. Subject + verb + object

2. Subject + verb.

3. Subject + verb + object

4. Subject + verb + adjectives. is correct.

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Answer:

A= 3.14

Step-by-step explanation:

The formula for finding the area of a circle is A=  π r²

A= 3.14*1²

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

          What is the mean of 7, 10, 13, 4, 12, 21, 10, 3?

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

    ❖ First, add all the numbers together:-

7+10+13+4+12+21+10+3

Addition results in:-

80

Now divide by how many numbers there are (here we have 8):-

80÷8=10

So we conclude that the mean is 10.

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Answer:

The independent variable is m, while the dependent variable is t.

Step-by-step explanation:

An independent variable is a variable that does not rely on another variable to change its outcome. In this case, the variable 'm' does not rely on the ride's total cost.

The dependent variable is a variable that depends on another variable to give its amount. In this case, 't' is the dependent variable, because it depends on how many miles were driven, in order to provide the correct answer.

t = $6 + ($1.50 x m)

3 miles: t = $6 + ($1.50 x m) or $10.50 = $6 + ($1.50 x 3)

4 miles: t = $6 + ($1.50 x m) or $12 = $6 + ($1.50 x 4)

5 miles: t = $6 + ($1.50 x m) or $13.50 = $6 + ($1.50 x 5)

6 miles: t = $6 + ($1.50 x m) or $15 = $6 + ($1.50 x 6)

7 miles: t = $6 + ($1.50 x m) or $16.50 = $6 + ($1.50 x 7)

8 miles: t = $6 + ($1.50 x m) or $18 = $6 + ($1.50 x 8)

9 miles: t = $6 + ($1.50 x m) or $19.50 = $6 + ($1.50 x 9)

10 miles: t = $6 + ($1.50 x m) or $21 = $6 + ($1.50 x 10)

Answer:

[tex]\textsf{i)} \quad \text{T} &=2 \pi r^2 + \dfrac{26}{r}[/tex]

ii)  radius = 1.27 cm (3 sf)

   height = 2.55 cm (3 sf)

Step-by-step explanation:

[tex]\text{Volume of a cylinder}=\pi r^2 h \quad \text{(where r is radius and h is height)}[/tex]

Given volume = 13 cm³, rewrite the equation making h the subject:

[tex]\implies 13=\pi r^2 h[/tex]

[tex]\implies h=\dfrac{13}{\pi r^2}[/tex]

Substitute found expression for h into the Surface Area equation to find the expression for the total surface area, T:

[tex]\begin{aligned}\text{Surface Area of a cylinder} & =2 \pi r^2 + 2 \pi r h\\\implies \text{Surface Area} & =2 \pi r^2 + 2 \pi r \left(\dfrac{13}{\pi r^2}\right)\\& =2 \pi r^2 + \dfrac{26 \pi r}{\pi r^2}\\ \implies \text{T} &=2 \pi r^2 + \dfrac{26}{r}\end{aligned}[/tex]

To find the radius of the minimum surface area, differentiate T with respect to r:

[tex]\begin{aligned}\text{T}& =2 \pi r^2 +26r^{-1}\\\implies \dfrac{dT}{dr} & =(2)2 \pi r^{(2-1)}+(-1)26r^{(-1-1)}\\ & =4 \pi r-26r^{-2}\\ & =4 \pi r-\dfrac{26}{r^2}\\ & = \dfrac{4 \pi r^3-26}{r^2} \end{aligned}[/tex]

Set it to zero, and solve for r:

[tex]\begin{aligned}\dfrac{dT}{dr} & = 0 \\\implies \dfrac{4 \pi r^3-26}{r^2} & = 0 \\\impliles 4 \pi r^3-26 & = 0 \\4 \pi r^3 & = 26 \\r^3 & = \dfrac{13}{2 \pi} \\r & = \sqrt[3]{\dfrac{13}{2 \pi}} \end{aligned}[/tex]

To find the height, substitute the found value of r into the equation for height (found previously):

[tex]\begin{aligned}h & =\dfrac{13}{\pi r^2} \\\implies h & =\dfrac{13}{\pi \left(\sqrt[3]{\dfrac{13}{2 \pi}}\right)^2} \\& =2.548499134\end{aligned}[/tex]

Therefore,

Answer:

f(7) = 9

Step-by-step explanation:

f(x) = 2x - 5, solve f(x) = 7.​

f(7) = 2(7) -5

f(7) = 9

Answer:

x=31

KPN =62

NPO=28

Step-by-step explanation:

KPO = 90(right angle) =2x + (x-3)

3X=90+3

X= 31

NPO = 31-3

NPO=28

KPN = 2*31

KPN =62

Answer:

Step-by-step explanation:

Converting all fractions to decimal (for easier comparison) :

Hence,

Answer:

2

Step-by-step explanation:

8gallons=16 cup

8x16=128

62+2=64

128÷2=64

Answer:

In 1 liter there are 1000 milliliters so because 100 ≠ 1000 the answer is no

The adjusting entry for the Software of Northland Physical Therapy is as follows:

December 31, 2018:

Debit Amortization Expense $3

Credit Accumulated Amortization $3

An adjusting entry for Amortization records the amortization expense for the period, which is debited.  It also credits the Accumulated Amortization, increasing the amount of the amortization expense.

For instance, the Amortization Expense for Northland Physical Therapy's Software is recorded as above.

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