Mathematics College

Given: ΔSTQ
ST=TQ
SD⊥TQ
m∠1=32°
find: m∠S, m∠T, m∠Q

Given: STQST=TQSDTQm1=32find: MS, MT, MQ

Answers

Answer 1

Answer:

∠ S = 58° , ∠ T = 64° , ∠ Q = 58°

Step-by-step explanation:

the sum of the 3 angles in Δ DQS = 180° , that is

∠ Q + ∠ 1 + 90° = 180°

∠ Q + 32° + 90° = 180°

∠ Q + 122° = 180° ( subtract 122° from both sides )

∠ Q = 58°

given ST = TQ , then Δ STQ is isosceles with base angles congruent, that is

∠  S = ∠ Q = 58°

the sum of the 3 angles in Δ STQ = 180° , that is

∠ T + ∠ S + ∠ Q = 180°

∠ T + 58° + 58° = 180°

∠ T + 116° = 180° ( subtract 116° from both sides )

∠ T = 64°

Related Questions

how a single number could be a ratio?

Answers

Step-by-step explanation:

For example, the number 5 can be written as [tex]\frac{5}{1}[/tex] . And that [tex]\frac{5}{1}[/tex] can also be written as 5:1, which is a ratio. By converting the single number to a fraction, then converting the fraction into a ratio, you can turn a number into a ratio.

Hope this helps.

HELP ASAP!!! A spinner has three sections colored green, purple, and pink. If the spinner is spun twice, how many branches would the tree diagram that represents this situation have? 6 5 9 12

Answers

Answer:

The answer is 9.

Answer:

The answer is 9

Step-by-step explanation:

I got it right on the quiz

A vacuum flask (for keeping drinks hot) is modelled as a closed cylinder in which the internal radius is r cm and the internal height is h cm.
The volume of the flask is 1000 cm³. A flask is most efficient when the total internal surface area, A cm², is a minimum.

(i) Show that A = 2π2²+ 2000/2

(ii) Given that r can vary, find the value of r, correct to 1 decimal place, for which A has a stationary value and verify that the flask is most efficient when r takes this value.

Answers

(i) To find the total internal surface area, we need to calculate the area of the curved surface and the areas of the top and bottom circles.

The curved surface area of the cylinder is given by the formula:

A_curved = 2πrh

The area of the top and bottom circles is given by the formula:

A_circles = 2πr²

The total internal surface area is the sum of the curved surface area and the areas of the top and bottom circles:

A = A_curved + A_circles

= 2πrh + 2πr²

Given that the volume of the flask is 1000 cm³, we have the equation:

πr²h = 1000

Solving for h, we get:

h = 1000 / (πr²)

Substituting this value of h into the equation for A, we have:

A = 2πrh + 2πr²

= 2πr(1000 / (πr²)) + 2πr²

= 2000/r + 2πr²

Simplifying further, we get:

A = 2000/r + 2πr²

= 2πr² + 2000/r

(ii) To find the value of r for which A has a stationary value, we differentiate A with respect to r and set the derivative equal to zero.

dA/dr = 4πr - 2000/r² = 0

Multiplying through by r², we get:

4πr³ - 2000 = 0

Solving for r, we have:

4πr³ = 2000

r³ = 2000 / (4π)

r = (2000 / (4π))^(1/3)

Calculating this value to one decimal place, we get:

r ≈ 3.4 cm

To verify that the flask is most efficient when r takes this value, we need to check the second derivative of A with respect to r.

d²A/dr² = 12πr² + 4000/r³

Substituting the value of r, we have:

d²A/dr² = 12π(3.4)² + 4000/(3.4)³

Calculating this value, we find that it is positive, indicating a minimum. Therefore, the flask is most efficient when r ≈ 3.4 cm.

I need help and it’s due soon

Answers

Answer:

Point A

Step-by-step explanation:

Answer:

point A

Step-by-step explanation:

The point A is opposite with the point R and the x-axis is between them.

Given the data set, calculate the range and the mode:


{9, 3, 1, 8, 3, 6}

Answers

I believe the range is 8 because the biggest number minus the smallest number which is 9-1 and the mode is 3 because it is the number that repeats more than one time.

You deposit $500 at 6% interest annually. After 6 months, how much money will you earn?

Answers

If its 6% interest a year. In 6 months that 3% interest.
$15 in 6 months
500 + $15
$515

Determine the missing side length

Answers

Hope this helps the answer is 97!

Which is more 4 inches or 1 foot

Answers

Answer: 1 foot

Step-by-step explanation:

because 1 foot is equivalent to 12 inches

808 - 589 what is the answer I need help


(I'm just trying to see if anybody here smart)​

Answers

219hhhhhhhhhhhhjjsisusywbs

☁️ Answer ☁️

Find out who owns any 808-589 phone number. Get name, address, relatives, court records for the registered owner. (Nah jk)

The answer is:

219

Explanation: I used my eyes, fingers, and a calculator.

Hope it helps.

Have a nice day noona/hyung


Please help! *no links* GIVING BRAINIEST

Answers

Answer:

6) D

7) B

8) J

9) A

10) A

11) L

12) I

Step-by-step explanation:

Hope this helped :)

PLZ ANSWER NO FAKE LINKS

Answers

Answer:

equation is 4*3 =12

Step-by-step explanation:

She had 12 guests because there was 4 parts each.

This is the graph of f(x). What is the value of f(2)?
10-+
Ο Α. 16
Β. 2
C. 4
D. 8

Answers

Answer:

b

Step-by-step explanation:

8 men can complete the project in 24 days in how many days 12 men can complete the same project

Answers

Answer:

16days

Step-by-step explanation:

This is an inverse proportionality

Let the number of men be m

Let the time taken in days be d

Hence m ∝ 1/d

m = k/d

If 8 men can complete the project in 24 days, then;

8 = k/24

k = 8*24

k = 192

To determine the time it will take 12 men to complete the same job, we will say;

m = k/d

12 = 192/d

d = 192/12

d = 16

Hence it will take 12men 16days to finish the same job

choose the equation that best describes the following graph.
please answer ASAP.

a) y=-3/2x+5
b) y=-2/3x+5
c) y=-3/2x+3 1/2
d) y=-2/3x+3 1/2

Answers

Answer:

d) y= -2/3x+3 1/2

Step-by-step explanation:

Points on the graph: ( -4, 6) and ( -7, 8)

Slope:

m=(y2-y1)/(x2-x1)

m=(8-6)/(-7+4)

m= 2/(-3)

m= -2/3

Slope-intercept:

y - y1 = m(x - x1)

y - 6 = -2/3(x + 4)

y - 6 = -2/3x - 8/3

y = -2/3x + 3 1/2

The radius of a cone is 4.9 cm and its height is 10 cm. Find the volume of the cone to the
nearest tenth. Use 3.14 for pie

Answers

Answer:

V = 251.3

Step-by-step explanation:

Volume of a Cone formula:

V = πr²(h/3)

Given:

r = 4.9

h = 10

Work:

V = πr²(h/3)

V = 3.14(4.9²)(10/3)

V = 3.14(24.01)(10/3)

V = 251.3

V = 251.432132 m3 is the answer to the equation

Clumsy Carl is running a marathon. There are 3 dangerous areas on the course, and Clumsy Carl approximates
that he has a 50% chance of falling at each spot, independent of if he falls at the other spots.
The table below shows the total number of people that will see Carl fall based on how many times he falls.
What is the expected total number of people that will see Carl fall?
Round your answer to the nearest hundred.

Answers

Answer:600

Step-by-step explanation: Khan Academy

If ∆SDE ~ ∆SWT, find WT.

Answers

It’s is 3/78 as the answer to this problem/question you have

A home is purchased for $ 794,000 with a 16% down payment. Find the monthly payment if the mortgage is 7.22% for 19 years. Round your answer to two
decimal places, if necessary,

Answers

Answer:

The monthly payment will be of $11,485.37

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

A home is purchased for $ 794,000 with a 16% down payment.

So the value of the loan, that is, the amount subject to interest, will be given by:

[tex]P = (1-0.16)*794000 = 0.84*794000 = 666960[/tex]

How much will the interest accumulate to?

7.22% of interest means that [tex]r = 0.0722[/tex]

19 means means that [tex]t = 19[/tex]

Monthly means that [tex]n = 12[/tex]

So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(t) = 666960(1 + \frac{0.0722}{12})^{12*19}[/tex]

[tex]A(t) = 2618664.5[/tex]

Monthly payment:

2618664.5 divided in 19*12 payments. So

2618664.5/(19*12) = 11485.37

The monthly payment will be of $11,485.37

PLZ HELP I WILL MAKE YOU BRAINLIEST NO FAKE LINKS

Answers

Answer:

1/30 of an hour

Step-by-step explanation:

find the Range 11,10,15,17,14

Answers

(highest) -(lowest)

17-10

=7

You want to buy a pet rabbit that costs ​$49. You already have ​$18 and you plan to save ​$9 per week. If w represents the number of weeks until you have enough money to buy the rabbit​, what equation could you use to find the value of​ w? Use pencil and paper. Explain how you could set up an equation to find the amount of money you should save each week if you want to buy the rabbit in six weeks.

Answers

Answer:

You would need $31 so W=4 and you would have $5 left

Step-by-step explanation:

i did 49 minus 18 which gave me 31 so 9c3 would be 27 so i did 9 times 4 would =36 and if you work for 6 weeks you would have 54 and add 18 to it and you would have $72

sorry if im wrong or late

find the square of 2a plus 3b​

Answers

Here is your answer!!

Answer:

[tex]= 4a^{2} + 12ab + 9b^{2}.[/tex]

Step-by-step explanation:

[tex](2a+3b)^{2}[/tex]

[tex]= (2a + 3b) (2a + 3b)[/tex]

[tex]= 4a^{2} + 6ab + 6ab + 9b^{2}[/tex]

[tex]= 4a^{2} + 12ab + 9b^{2}.[/tex]

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

Coordinates switch, and the new y-coordinate changes sign

Explanation:

We have point A with the coordinates (-1,2), when we rotate it c90º it becomes (2,1).

What happened? The coordinates switched and the x-coordinate of A (-1) became the y-coordinate of A' (1) and it changed its sign.

Answer:

A. The coordinates switch and the new x-coordinate changes sign

Step-by-step explanation:

Hope this helps! ✌️

The area of a triangle is 174 square inches. The base is 29 inches. What is the height in inches? Do not include units in your answer.

Answers

Answer:

Your answer would be 6

Step-by-step explanation:

Area=174

Base=29

174 divided by 29

Equals 6

6 times 29

Equals 174

So since 29 times 6 gave you 174 which is your area, your answer would be 6 since it is the missing height to your problem.

:)

Answer: 12

Step-by-step explanation:

We can use the formula for the area of a triangle, to help us find the height:

Area=12⋅b⋅h

Using the formula for area, we can solve for the height by plugging in the information we have about the area and the base:

174=12⋅29⋅h

Isolate h by multiplying both sides by 2 and dividing both sides by 29.

hh=2⋅17429=12

The height is 12 inches.

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
And please say which letters it is, thx!
Jose draws ABC. AB has a length of 10 inches and BC has a length of 15 inches.
Determine whether each measurement could be the length of AC.
Choose Yes or No for each measurement.
a. 4 inches Yes : No
b. 15 inches Yes : No
c. 23 inches Yes : No
d. 5 inches Yes : No
e. 25 inches Yes : No
f. 10 inches Yes : No

Answers

ABC I really need these points thx a lot

Solve for x. Assume that lines which appear tangent are tangent.

Answers

Answer:

Step-by-step explanation:

What is the missing length?

Answers

3
This is because the area of a rhombus is A=sh
since the height is 4 mm, and the area is 12mm^2 the length is 3
I think the answer is 3mm

tank a has 100 gallons of water and is being filled at a rate of 2 gallons per hour. tank b has 140 gallons and is being drained at a rate of 6 gallons per hour. how many hours must pass in order for the total amount of water in tank A and B to be the same.

Answers

Answer:

5 hours must pass

Step-by-step explanation:

Graph the equations y = 2x + 100 and y = -6x + 140

Then find the x intercept of their intersection, in this case, that is 5

The quadratic function h is shown on the graph. If the graph is h(x) = (3/5 ) (x – d)(x + 6), what is the value of d?
Answers ↓

(A) -14
(B) 14
(C) -60
(D) 42/5​

Answers

9514 1404 393

Answer:

  (B)  14

Step-by-step explanation:

"d" is a value that makes the function be zero. The x-intercepts (zeros) of the function are at x=-6 and x=14, corresponding to factors (x +6) and (x -14). The (x+6) factor is already given in the equation, so we must conclude d=14.

6. cory gets paid every two weeks. he works 40 hours per week at $7.75 per hour. cory has the following deductions: 8% for medical insurance, 12% for federal and state taxes, and 10% for retirement. cory's net pay will be $________.​

Answers

Answer:

$434

Step-by-step explanation:

Gross Pay

$7.75 per hour40 hours per weekPay received every 2 weeks

⇒ Total gross pay = 7.75 × 40 × 2 = $620

Deductions

Medical insurance = 8%Taxes = 12%Retirement = 10%

⇒ Total deductions = 8% + 12% + 10% = 30%

Net Pay

Net Pay = Total Gross Pay - Total deductions

             = $620 - (30% of $620)

             = $620 - (0.3 × $620)

             = $620 - $186

             = $434

Therefore, Cory's net pay will be $434.

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