answer.
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
Llana [10]
2 years ago
12

⊙M≅⊙N and AB=31.8. Identify PQ, rounded to the nearest tenth.

Mathematics
1 answer:
qwelly [4]2 years ago
8 0

Answer:

PQ=9.6\ units

Step-by-step explanation:

In this problem

If AB=31.8 units

then

ZY=31.8 units

ZP=PY=31.8/2=15.9 units

In the right triangle MZP

we have

ZP=15.9\ units

MZ=18\ units ----> the radius of the circle

Applying Pythagoras Theorem Find MP

MP^{2}=MZ^{2}-ZP^{2}

substitute

MP^{2}=18^{2}-15.9^{2}

MP^{2}=71.19

MP=8.4\ units

Find the value of PQ

we know that

MQ=MP+PQ\\ PQ=MQ-MP

we have

MQ=18\ units

MP=8.4\ units

substitute

PQ=18-8.4=9.6\ units

You might be interested in
Set R contains all integers from 10 to 125, inclusive, and Set T contains all integers from 82 to 174, inclusive. How many integ
SCORPION-xisa [38]

Answer: PLEASE GIVE BRAINLIEST

72 integers

Step-by-step explanation:

Starting From 82-174 every integer is included in T so every integer that is not included in T but included in R would be 82-10 so every integer from 10 to 82.

3 0
2 years ago
Which function has zeros at x = 10 and x = 2? f(x) = x2 – 12x + 20 f(x) = x2 – 20x + 12 f(x) = 5x2 + 40x + 60 f(x) = 5x2 + 60x +
Allushta [10]

Answer:

x^2 -12x+20

Step-by-step explanation:

If the zeros of the functions are at 10 and 2

(x-10) (x-2)

FOIL

x^2 -2x-10x+20

Combine like terms

x^2 -12x+20

3 0
2 years ago
Read 2 more answers
You save $5,000.00 and invest 60% of it in stocks while leaving the rest in a savings account earning a 4.9% APR. The stock incr
Angelina_Jolie [31]

Answer:

5,340

Step-by-step explanation:

Hi there:)

Amount invested in stock

=5000×0.6=3000

Amount invested in a saving account

5000-3000=2000


The stock increases 9% in the first year

3,000×(1+0.09)=3,270

and loses 4% of its value the second year

3,270×(1−0.04)=3,139.2

Amount of a saving account after two years

2,000×(1+0.049)^(2)=2,200.8


the total amount gained during the 2 years

3,139.2+2,200.8=5,340...answer


Hope it helps




8 0
2 years ago
Read 2 more answers
Find the standard form of the equation of the parabola with a focus at (3, 0) and a directrix at x = -3.
Nikitich [7]
Check the picture below.

now, keep in mind that the focus point is at 3,0 and the directrix is to the left-hand-side of it, therefore, is a horizontal parabola, and it opens to the right-hand-side, like in the picture.

keep in mind that the vertex is half-way between the focus point and directrix, at a distance "p" from either one, notice the "p" distance is just 3 units, since the parabola is opening to the right, "p" is positive.

\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
\boxed{(y-{{ k}})^2=4{{ p}}(x-{{ h}})}
\\\\
(x-{{ h}})^2=4{{ p}}(y-{{ k}})
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
h=0\\
k=0\\
p=3
\end{cases}\implies (y-0)^2=4(3)(x-0)\implies y^2=12x\implies \cfrac{1}{12}y^2=x

6 0
2 years ago
Nathan is planning to ride his bike for 24 minutes.
Thepotemich [5.8K]

Answer:

who is nathan

Step-by-step explanation:

do u know her

3 0
2 years ago
Read 2 more answers
Other questions:
  • Tia cut a 4- meter 8-centimeter wire into 10 equal pieces. marta cut a 540-centimeter wire into 9 equal pieces. how much longer
    11·1 answer
  • N JKL, mJ = 90, mK = 30, and mL = 60. Which of the following statements about JKL are true?
    9·1 answer
  • Identify the slope of the graphed line: Identify the y-intercept of the graphed line: Identify the slope of the line given by th
    14·2 answers
  • After allowing 20% discount on the marked price with 13%
    14·1 answer
  • "We might think that a ball that is dropped from a height of 15 feet and rebounds to a height 7/8 of its previous height at each
    11·1 answer
  • Which triangle would be most helpful in finding the distance between the points (–4, 3) and (1, –2) on the coordinate plane? On
    7·2 answers
  • The lion population in a certain reserve drops by 5\%5%5, percent every year. Currently, the population's size is 200200200.
    10·1 answer
  • Dan rolls 2 fair dice and adds the results from each. Work out the probability of getting a total more than 3.
    11·1 answer
  • You What is the Value of 3n+1 when n =4
    13·1 answer
  • 3.52 A coin is tossed twice. Let Z denote the number of heads on the first toss and W the total number of heads on the 2 tosses.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!