1.) One side of a rectangle is 7 inches and the other side is x inches. What values of x will make the perimeter at most 26 inches?

2.) Use the fact that the sum of the 3 angles in a triangle is 180 degree to answer this question. One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 35 degree more than that of the smallest angle. Find the measure of the each of the angles.
I need the smallest angle, The middle angle and largest angle .

Thank you !

Answer: 1001

B/c i said so

Answer:

8 in.

Step-by-step explanation:

Let's find the rhombus's length...

cosine =  [tex]\frac{adjacent}{hypotenuse}[/tex]

cosine = ° = 54°

adjacent =  = 4.5 in

Length of Rhombus = Hypotenuse

So...

cos54 = [tex]\frac{9}{x}[/tex]

x = [tex]\frac{4.5}{cos 54}[/tex]

x = 7.6558... about 8 inches

The two ships are sailing in opposite sides, Hence, the resultant speed is given by 15+5 = 20 km/hr.

Therefore, from the below triangle, we have

[tex]\frac{dx}{dt} = 20 \text{  km/hr}[/tex]

Let the distance between the ships is y. On applying Pythagorous theorem, we have

[tex]y^2=x^2+60^2\\ \text{On differentiating, we get}\\ 2y\frac{dy}{dt} =2x\frac{dx}{dt}\\\frac{dy}{dt}= \frac{x}{y} \frac{dx}{dt}[/tex]

On substituting the value of y as [tex]y=\sqrt{60^2+x^2}[/tex]

[tex]\frac{dy}{dt} =\frac{x}{\sqrt{60^2+x^2}} \frac{dx}{dt}[/tex]

Since, the at noon the ship is 60 km to each other. Hence, for 4 PM, i.e. t=4, we have

[tex]x=4 \times \frac{dx}{dt} \\ x= 4 \times 20 \\x=80[/tex]

On substituting the value in above, we get

[tex]\frac{dy}{dt} =\frac{80}{\sqrt{60^2+80^2}} (20[/tex]

[tex]\frac{dy}{dt} = 16.0 \text{ km/hr}[/tex]

Therefore,  the distance between the ships changing at a rate of 16 km/hr at 4:00 pm

The altitude of the top of the hill is 274 feet.

To find how much lower Checkpoint 1 is than Checkpoint 5, we subtract the elevation of Checkpoint 1 from the elevation of Checkpoint 5:

Difference = Elevation at Checkpoint 5 - Elevation at Checkpoint 1

Difference = (-57) - (-188)

Now, simplify the expression:

Difference = -57 + 188

Difference = 131 feet

So, Checkpoint 1 is 131 feet lower than Checkpoint 5.

Next, to find the altitude of the top of the hill, we add the rise of the hill to the elevation at Checkpoint 1:

Altitude of the top of the hill = Elevation at Checkpoint 1 + Hill rise

Altitude = (-188) + 462

Now, calculate the sum:

Altitude = 274 feet

The altitude of the top of the hill is 274 feet.

To know more about altitude:

https://brainly.com/question/34293521

#SPJ2

The quotient Q(x) is found to be x² - 4x - 11 and the remainder R is 4.

The question involves using synthetic division to find the quotient Q(x) and the remainder R when the polynomial P(x) = x³ − 2x² − 3x + 18 is divided by (x + 2).

To perform synthetic division, we first write down the coefficients of P(x): 1, -2, -3, and 18. The divisor is (x + 2), so we use -2 for the synthetic division.

Write the coefficients of P(x): 1, -2, -3, 18.

Write the root of the divisor (x + 2) = -2 on the left side of the synthetic division setup.

Bring down the first coefficient (1).

Multiply -2 by 1, place the result (-2) under the second coefficient (-2), and add the two numbers yielding -4.

Repeat the multiplication and addition process for the rest of the coefficients.

The results of the synthetic division process give us the coefficients of the quotient Q(x) and the remainder R.

In performing the synthetic division, we find that the quotient Q(x) is x² - 4x - 11 and the remainder is R = 4.

Answer:

the answer is D

Step-by-step explanation:

Jeffery's monthly loan payments for the loan will be $515.19.

To calculate the monthly loan payments for Jeffrey, we can use the formula for calculating the monthly payment of a loan. The formula is:

Monthly Payment = (Principal * Monthly Interest rate) / (1 - (1 + Monthly Interest rate) ^ (-n))

In this case, Jeffrey's principal is $30,000, the annual interest rate is 5.2%, and the loan term is 6 years. Since Jeffrey will graduate in 4 years, we need to adjust the loan term accordingly. The monthly interest rate can be calculated by dividing the annual interest rate by 12, and the number of monthly payments will be multiplied by 4.

Using these values in the formula, we can calculate the monthly loan payment for Jeffrey.

Monthly Payment = (30000 * 0.052/12) / (1 - (1 + 0.052/12) ^ (-24))

Monthly Payment = $515.19

A math test ended at 3:55 and it took 50 minutes to complete. What time did the math test start?

The math test started at 3:05.

If we know that the math test ended at 3:55 and lasted 50 minutes, we can subtract 50 minutes from 3:55 and we will get an answer of 3:05.

Therefore, the math test started at 3:05.

Answer:

The correct option is 1. The area of cross section area is 48 mm².

Step-by-step explanation:

From the find it is noticed that the cross section is a rectangle with length 4 mm and width is 12 mm.

The area of a rectangle is the product of its dimensions.

[tex]A=l\times w[/tex]

Where, l is length of the rectangle and w is width of the rectangle.

The area of cross section is

[tex]A=4\times 12[/tex]

[tex]A=48[/tex]

Therefore the area of cross section area is 48 mm². Option 1 is correct.

Answer:

Height=6in

Step-by-step explanation:

Took test and got it correct

Answeeeeeerrrrr

0.2861