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3 years ago

Solve for x. Round to the nearest tenth. x =

Mathematics

1 answer:

Nitella [24]3 years ago

6 0

9514 1404 393

Answer:

x ≈ 17.3

Step-by-step explanation:

The triangles are all similar, so the side lengths are proportional.

short side / hypotenuse = x/30 = 10/x

x² = 300 . . . . . . cross multiply

x = 10√3 . . . . . . take square root

x ≈ 17.3

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The cost of renting a jumping castle includes a fixed charge of $325 for setup and delivery, and a variable charge of $175 for e

Burka [1]

Answer:

they can rent it for 6 hours

Step-by-step explanation:

7 0

3 years ago

Andrew and Kate have $30 to spend on dinner tax and gratuity at Moe's restaurant tax is 6% and they will give a 50% tip on the t

kenny6666 [7]

Given the money which the Andrew and Kate have to spend on dinner is $30.
Tax is 6%
Now we have to find the total cost of dinner. If the cost of dinner is less then the money that the Andrew and Kate have then we can say Andrew and Kate have enough money to pay their bill.
Tax rate = 6%
Total tax= (Tax apply)(dinner cost)
= 0.06\times21
= $1.26
Dinner cost after tax is $21+$1.26
=$22.26
Now it is given that they will give 15% tip on the total bill after taxes
∴ Amount of tip given = 15\% \times 22.26
⇒ = $3.339
Total bill of dinner = dinner cost+Tax+Tip
= $22.26+$3.339
= $25.599
Hence total bill of dinner is less than the money the have to spend.
⇒ Andrew and Kate have enough money to pay their bill.

5 0

4 years ago

Write the solution to the given inequality in interval notation.

Mazyrski [523]

Answer:

$(-\infty,4)\cup (5,\infty)$

Step-by-step explanation:

From the number line, the solution to the inequality is x<4 or x>5.

We can write x<4 in interval notation as (-∞,4) and x>5 as (5,∞).

The "or" represents the union of the two intervals.

Therefore the solution to the given inequality in interval notation is:

$(-\infty,4)\cup (5,\infty)$

The third choice is the correct answer.

3 0

4 years ago

Multiply the binomials: (x + 6) • (x - 8)

aev [14]

Answer:

Step-by-step explanation:

x 2 − 2 x -48

4 0

4 years ago

Polygon D is a scaled copy of polygon C using a scale factors of 6

Vladimir79 [104]

Answer: The area of the Polygon D is 36 times larger than the area of the Polygon C.

Step-by-step explanation:

<h3> The complete exercise is: "Polygon D is a scaled copy of Polygon C using a scale factor of 6. How many times larger is the area of Polygon D than the area Polygon C"?</h3>

In order to solve this problem it is important to analize the information provided in the exercise.

You know that the Polygon D was obtained by multiplying the lengths of the Polygon C by the scale factor of 6.

Then, you can identify that the Length scale factor used is:

$Length\ scale\ factor=k=6$

Now you have to find the Area scale factor.

Knowing that the Length scale factos is 6, you can say that the Area scale factor is:

$Area \ scale\ factor=k^2=6^2$

Finally, evaluating, you get that this is:

$Area \ scale\ factor=36$

Therefore, knowing the Area scale factor, you can determine that the area of the Polygon D is 36 times larger than the area of the Polygon C.

8 0

4 years ago