1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olga55 [171]
3 years ago
15

(THIS IS A TEST I NEED HELP)

Mathematics
1 answer:
Leya [2.2K]3 years ago
4 0

Answer:

Option (B)

Step-by-step explanation:

Length of PR = 4

RS = 4

QS = 4

For the length of PT,

PT² = RT² + PR² [Since, PT is the diagonal of rectangle PRT]

PT² = QS² + PR² [Since, RT ≅ QS]

PT² = 4² + 7²

PT² = 16 + 49

PT² = 65

Now for the length of PQ,

PQ² = QT² + PT²

PQ² = RS² + PT² [Since, QT ≅ RS]

PQ² = 4² + 65

PQ² = 16 + 65

PQ = √81

PQ = 9

Therefore, length of diagonal PQ is 9 units.

Option (B) will be the answer.

You might be interested in
So when you are adding fractions how do you know when you need to simplify the numbers and how do you simplify?
rosijanka [135]

Let's look at an example.

We'll add the fractions 1/6 and 1/8

Before we can add, the denominators must be the same.

To get the denominators to be the same, we can...

  • multiply top and bottom of 1/6 by 8 to get 8/48
  • multiply top and bottom of 1/8 by 6 to get 6/48

At this point, both fractions involve the denominator 48. We can add the fractions like so

8/48  + 6/48 = (8+6)/48 = 14/48

Add the numerators while keeping the denominator the same the entire time.

The last step is to reduce if possible. In this case, we can reduce. This is because 14 and 48 have the factor 2 in common. Divide each part by 2.

  • 14/2 = 7
  • 48/2 = 24

The fraction 14/48 reduces to 7/24

Overall, 1/6 + 1/8 = 7/24

6 0
2 years ago
20 POINTS!!! PLZ ANSWER!! On the moon, the time, in seconds, it takes for an object to fall a distance, d, in feet, is given by
scoundrel [369]

Answer:

Part a) f(2)=1.57\ sec

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) see the explanation

Part c) 2,165.43\ sec

Step-by-step explanation:

Let

f(d) -----> the time in seconds it takes for an object to fall

d -----> distance in feet

we have

f(d)=1.11\sqrt{d}

Part a): Determine f(2) and explain what it represents

we know that

f(2) represent the time in seconds it takes for an object to fall a distance of 2 feet

For d=2\ ft

substitute in the function above and solve for f(2)

f(2)=1.11\sqrt{2}

f(2)=1.57\ sec

therefore

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}

What does this tell you about the basin?

The height of the basin is greater than or equal to 0 ft and less than or equal to 3,805,774 ft  

so

The maximum height of the basin is 3,805,774 ft

Part c) How long would it take a rock to drop from the rim to the bottom of the basin?

we know that

The distance from the rim to the bottom of the basin is equal to the maximum height of the basin

so

d=3,805,774\ ft

substitute the value of d in the function f(d)

f(d)=1.11\sqrt{3,805,774}

f(d)=2,165.43\ sec

3 0
3 years ago
Please Help I Don't Undertand.
frozen [14]

If triangles AMN and ABC are similar, then

AM/AB = AN/AC

or

AM/(AM + MB) = AN/(AN + NC)

Check if this is true:

AM/AB = 21/(21 + 9) = 21/30 = 7/10

AN/AC = 14/(14 + 6) = 14/20 = 7/10

The angle at vertex A is common to both of the triangles.

Then by the side-angle-side (SAS) similarity theorem, the triangles are indeed similar.

4 0
1 year ago
Start at 92. Create a pattern that adds 13 to each number. Stop after 5 numbers. I DO NOT GET TIS I NEED HELP!!!
Lynna [10]

105,118,131,144,157 heres your numbers all you have to do is add 13 to the numbers after you ad each number


8 0
3 years ago
Read 2 more answers
What is 4/3 ft x 15 inches <br> I need the anwser in inches
qaws [65]

Answer:

3/45

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which statements are true about the value of the digits in the number 9,999,999?
    15·2 answers
  • What is the value of the interquartile range of the data below?
    9·1 answer
  • It cost Mila $5.00 to send 125 text messages. What is the cost of sending text messages, in dollars per text?
    10·1 answer
  • if the x intercept of a line is positive and the y intercept is negative, does the line slant upwards or downwards from left to
    11·1 answer
  • Find the absolute maximum and absolute minimum of the function f(x,y)=2x3+y4f(x,y)=2x3+y4 on the region {(x,y)|x2+y2≤64}{(x,y)|x
    9·1 answer
  • Please help! how many imaginary roots?
    6·1 answer
  • Solve the following equation for x.<br> 3(1+5) = 1 + 19<br> The solution is x =
    9·1 answer
  • It costs 11$ for 15 granola bars.
    12·1 answer
  • ? ÷ 100,000 = 4.3976<br> ? ÷ 100,000 = 439.76<br> ? ÷ 100,000 = 4,397.6<br> ? ÷ 100,000 = 439,760
    12·1 answer
  • Im stuck on this to could you guys explain how you do this
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!