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
FinnZ [79.3K]
3 years ago
12

Mr. Bloop can high jump 5.75 feet. How far short is that of Charles Austin's record of 7 ft 10 in?

Mathematics
1 answer:
a_sh-v [17]3 years ago
6 0

Answer:

5.75 feet is the same as 5 ft 9 inches (because 12 in = 1 ft and 0.75 * 12 = 9 so its 9 in). 7 ft 10 in - 5 ft 9 in = 2 ft 1 in.

You might be interested in
A conjecture is an educated guess
Kitty [74]

Answer:

the angle abc is 180 degrees

5 0
2 years ago
Read 2 more answers
Is 9.63 < or > than 1.82? And how do you tell
lana66690 [7]

Answer:

The answer is > because 9.63 is greater than 1.82

Step-by-step explanation:

9.63 is a larger number than 1.82

7 0
3 years ago
John can complete a paper route in 20 minutes. Steve can complete the same route in 30 minutes. How long will it take them to co
jek_recluse [69]
12 minutes to complete the route together
6 0
3 years ago
Read 2 more answers
In right ABC, AN is the altitude to the hypotenuse. FindBN, AN, and AC,if AB =2 5 in, and NC= 1 in.
Rama09 [41]

From the statement of the problem, we have:

• a right triangle △ABC,

,

• the altitude to the hypotenuse is denoted AN,

,

• AB = 2√5 in,

,

• NC = 1 in.

Using the data above, we draw the following diagram:

We must compute BN, AN and AC.

To solve this problem, we will use Pitagoras Theorem, which states that:

h^2=a^2+b^2\text{.}

Where h is the hypotenuse, a and b the sides of a right triangle.

(I) From the picture, we see that we have two sub right triangles:

1) △ANC with sides:

• h = AC,

,

• a = ,NC = 1,,

,

• b = NA.

2) △ANB with sides:

• h = ,AB = 2√5,,

,

• a = BN,

,

• b = NA,

Replacing the data of the triangles in Pitagoras, Theorem, we get the following equations:

\begin{cases}AC^2=1^2+NA^2, \\ (2\sqrt[]{5})^2=BN^2+NA^2\text{.}\end{cases}\Rightarrow\begin{cases}NA^2=AC^2-1, \\ NA^2=20-BN^2\text{.}\end{cases}

Equalling the last two equations, we have:

\begin{gathered} AC^2-1=20-BN^2.^{} \\ AC^2=21-BN^2\text{.} \end{gathered}

(II) To find the values of AC and BN we need another equation. We find that equation applying the Pigatoras Theorem to the sides of the bigger right triangle:

3) △ABC has sides:

• h = BC = ,BN + 1,,

,

• a = AC,

,

• b = ,AB = 2√5,,

Replacing these data in Pitagoras Theorem, we have:

\begin{gathered} \mleft(BN+1\mright)^2=(2\sqrt[]{5})^2+AC^2 \\ (BN+1)^2=20+AC^2, \\ AC^2=(BN+1)^2-20. \end{gathered}

Equalling the last equation to the one from (I), we have:

\begin{gathered} 21-BN^2=(BN+1)^2-20, \\ 21-BN^2=BN^2+2BN+1-20 \\ 2BN^2+2BN-40=0, \\ BN^2+BN-20=0. \end{gathered}

(III) Solving for BN the last quadratic equation, we get two values:

\begin{gathered} BN=4, \\ BN=-5. \end{gathered}

Because BN is a length, we must discard the negative value. So we have:

BN=4.

Replacing this value in the equation for AC, we get:

\begin{gathered} AC^2=21-4^2, \\ AC^2=5, \\ AC=\sqrt[]{5}. \end{gathered}

Finally, replacing the value of AC in the equation of NA, we get:

\begin{gathered} NA^2=(\sqrt[]{5})^2-1, \\ NA^2=5-1, \\ NA=\sqrt[]{4}, \\ AN=NA=2. \end{gathered}

Answers

The lengths of the sides are:

• BN = 4 in,

,

• AN = 2 in,

,

• AC = √5 in.

7 0
1 year ago
What is the factored form of the polynomial z² − 10z + 25?
qwelly [4]

Answer:

( z - 5 ) ( z - 5 )

Step-by-step explanation:

z² − 10z + 25

= z² − 5z - 5z + 25

= z ( z - 5 ) - 5 ( z - 5 )

= ( z - 5 ) ( z - 5 )

3 0
3 years ago
Other questions:
  • Dr. Lawrence is the director of Counseling Services at her university. She is planning to conduct a survey of 100 students at th
    11·1 answer
  • The amount of fat, in grams, in granola is proportional to the volume, in cups, of the granola as shown on graph.
    12·2 answers
  • Jonas jogged up the hill at an average rate of of a 1/12 mile per minute and then walked down the hill at an average rate of of
    12·2 answers
  • What is the y-intercept of y+4=-1/4(x+2)
    6·2 answers
  • Evaluate 2r +1 if r=3
    5·1 answer
  • 3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis
    12·1 answer
  • What is not a factor of 16​
    6·2 answers
  • Pendulum A is 20 cm long and has a 5 g mass on it. Pendulum B is 30 cm long and has a 10 g mass on it. Which one has a faster pe
    5·1 answer
  • Horizontal lines n and m are intersected by lines q and p. At the intersection of lines q and n, the uppercase right angle is an
    7·1 answer
  • Help me with this question please!! :)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!