Answer:
[tex]m\widehat{MP}=118^{\circ}[/tex]
Step-by-step explanation:
In any circle, the measure of an inscribed angle (an angle created when the intersection of two chords is on the circle) is equal to half of the arc it forms. In this case, [tex]\angle MPN[/tex] is an inscribed angle that forms [tex]\widehat{MN}[/tex]. Therefore, the measure of arc MN must be twice the measure of angle MPN:
[tex]m\widehat{MN}=2\cdot m\angle MPN,\\m\widehat{MN}=2\cdot 31^{\circ}=62^{\circ}[/tex]
Since we want to find the measure of arc MP, we need to know that there are 360 degrees in a circle. Since [tex]\overline{PN}[/tex] is a diameter of the circle (line that has two endpoints on the circle and that passes through the center of the circle), each side of [tex]\overline{PN}[/tex] must be 180 degrees.
Therefore, we have:
[tex]m\widehat{MN}+m\widehat{MP}=180^{\circ},\\62^{\circ}+m\widehat{MP}=180^{\circ},\\m\widehat{MP}=\boxed{118^{\circ}}[/tex]
Solve the proportion.
14
y +9
-
10
15
y = [?]
Answer:
y=12
Step-by-step explanation:
14 10
----- = --------
y+9 15
Using cross products
14*15 = 10 (y+9)
210 = 10(y+9)
Divide by 10
210/10 = 10(y+9)/10
21 = y+9
Subtract 9
21-9 = y
12 =y
A rectangle is twice as long as it is wide. Its width is 51⁄2 cm. Find the area of the rectangle.
Step-by-step explanation:
The are of rectangle is 1300.5cm2
Please help me I honestly have zero clue how to answer this question
Step-by-step explanation:
[tex]n = 3 \times 5 {}^{2} \times {x}^{3} [/tex]
Square both sides of the equation.
[tex]{n}^{2} = (3 {}^{2} \times 5 {}^{4} \times {x}^{6} )[/tex]
[tex]5 {n}^{2} = 5(3 {}^{2} \times {5}^{4} \times {x}^{6} )[/tex]
In a jail cell, there are 5 Democrats and 6 Republicans. Four of these people will be
chosen for early release. How many 4-person groups are possible?
two because there is 11 people in total and you have two 4 person groups so that would leave 3 people left and you cant make a 4 person group w 3 people
Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.
If in a jail cell, there are 5 Democrats and 6 Republicans, the possible ways to form a group of 4 is 330.
The number of possible groups is 330.
What is combination?Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.
It is given as:
[tex]^nC_r = \frac{n!}{r!(n-r)!}[/tex]
We have,
The total number of people:
5 Democrats and 6 Republicans = 5 + 6 = 11.
The number of persons in a group = 4.
The number of groups possible are:
= [tex]^{11}C_4[/tex]
= 11! / 4! ( 11-4)!
= 11! / 4! 7!
= 11 x 10 x 9 x 8 / 4 x 3 x 2
= 330
Thus,
The number of possible groups is 330.
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please help i will give brainliest (check both images)
Answer:
Amanda's box holds more popcorn.
Amanda's box holds 70 m³ more than Mary's.
Step-by-step explanation:
Find the volume of both boxes.
13.5 x 10 x 10 = 1350.
20 x 8 x 8 = 1280.
As clearly shown, Amanda's box holds more popcorn.
To find how much more, subtract 1,280 from 1,350 to get 70 m³.
Hope this helps!
If there is something wrong, please let me know.
Make a documentary on the “Journey of Coronavirus” OR Conservation of Plants and Animals. Give an appropriate name for your documentary.
PLSS REPLY FAST
Answer:
Explanation is as follows;
Step-by-step explanation:
Fundamentals to Plant and Animal Preservation
Plants and animals are the foundation of life on Earth; it is critical to protect them from extinction by maintaining a healthy population that contributes to global biodiversity, or the variety of flora and wildlife.
Everyone in the area must actively participate in planting additional trees and preventing countless trees from being chopped down. Deforestation is the practise of chopping down trees and making a forestland barren and unsuitable for animals and birds to live in.
Shelley drove from New Haven, Connecticut, to New York City in 90 minutes. Which equation relates the distance she traveled to her speed?
a.distance = speed + 90
b.distance = speed × 90
c.distance − speed = 90
d.distance × 90 = speed
Answer:
b
Step-by-step explanation:
d = r * t
None of them are really correct, but the closest one is B. Look at the equation. Rate is multiplied by time. The result is distance.
The 90 minutes should be changed to hours. No speedometer on a car is rated in feet per second.
PLEASEEEE HELP, how do i draw this ?
Answer:
/ - - - - - - - - -- - - -
/ \
/ \
/ \ _________
/
_/
A lottery has a grand prize of 25and 1/2 million dollars. There are 5 people who have winning tickets and they share this prize equally. How many millions of dollars does each person get? Express the answer as a mixed number.
Answer:
5 1/10 million dollars
Step-by-step explanation:
25and 1/2 million dollars = 25 1/2 million dollars
= (25*2) + 1 / 2
= 50+1/2
= 51/2
Total prize = 51/2 million dollars
Number of people with winning ticket = 5
How many millions of dollars does each person get?
Amount of prize each person get = Total prize / Number of people with winning ticket
= 51 / 2 ÷ 5
= 51/2 × 1/5
= (51 * 1) / (2 * 5)
= 51/10
= 5 1/10 million dollars
Amount of prize each person get = 5 1/10 million dollars
What is the factored form of
Answer:
C
Step-by-step explanation:
You can distribute the values or even plug in x=2 and see which one matches.
Which expression is a sum of cubes
Answer: what is the rest of the question?
Step-by-step explanation:
need help solving the equation, trying to figure whether I multiply or divide.
Answer:
m∠B = 43°
b = 26.1
c = 38.3
Step-by-step explanation:
By applying triangle sum in the given triangle,
47° + 90° + m∠B = 180°
137° + m∠B = 180°
m∠B = 43°
By applying sine ratio to the angle measuring 47°.
sin(47°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{28}{c}[/tex]
c = [tex]\frac{28}{\text{sin}(47^{\circ})}[/tex]
c = 38.28
c ≈ 38.3
By applying cosine rule,
cos(47°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{b}{c}[/tex]
= [tex]\frac{b}{38.3}[/tex]
b = 38.3[cos(47°)]
b = 26.1
The radius of the circle below intersects the unit circle at (3/5 • 4/5)What is the approximate value of e?
Answer:
do you have a pic of it but i think its 15.75
Step-by-step explanation:
What are the restrictions on the domain of the following function?
f(x)=x-3/(x-3)(x-4)(x-5)
Answer:
Step-by-step explanation:
C
Identify the segments that are parallel, if any, if ∠DCB and ∠CDA are supplementary.
Answer:
C
Step-by-step explanation:
We are given that
[tex]\angle[/tex]DCB and [tex]\angle[/tex]CDA are supplementary.
We have to identify the parallel segments if [tex]\angle[/tex]DCB and [tex]\angle[/tex]CDA are supplementary.
Supplementary angles: If the angles are supplementary then the sum of two angles is 180 degrees.
Therefore,
[tex]\angle DCB+\angle CDA=180^{\circ}[/tex]
Therefore, angle DCB and angle CDA are interior angles .
Because CA is a transversal line and sum of interior angles is 180 degrees.
When the sum of interior angles formed between two lines and on same side of transversal line is 180 degrees. Then the lines are parallel.
Therefore, angle DCB and angle CDA are formed between line AD and BC.
Hence, AD is parallel to BC.
Option C is correct.
Answer:
c
Step-by-step explanation:
i had the same question
Which value is equivalent to x +4/4+x?
–4
–1
1
4
Hi! Please help me im really confused >.< tysm
g² - 4g = -3
Answer:
g = 1, 3
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Terms/CoefficientsFactoringSolving quadraticsStep-by-step explanation:
Step 1: Define
Identify
g² - 4g = -3
Step 2: Solve for g
[Addition Property of Equality] Add 3 on both sides: g² - 4g + 3 = 0Factor: (g - 1)(g - 3) = 0Solve: g = 1, 3How do I do this question
Answer:
Graph:
Solution: (1, 1)
Check:
y = -3x +4
1 = -3 +4
1 = 1
y = 3x -2
1 = 3 -2
1 = 1
Renata moved to her new home a few years ago. Back then, the young oak tree in her back yard was 190190190 centimeters tall. She measured it once a year and found that it grew at a constant rate. 333 years after she moved into the house, the tree was 274274274 centimeters tall.
Answer:
I know the answer...
Step-by-step explanation:
but i dont know the question (i also dont know how to comment so i have to do it as an answer)... thanks
Lyon walked 3/4 mile from school to the soccer field.
He then walked 1/6 mile home.
About how many miles did Lyon walk?
Answer:
11/12 miles Lyon walk.
Step-by-step explanation:
3/4 -> 9/12
1/6 -> 2/12
9 + 2 = 11
The solution is :about 11/12 miles Lyon walk.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
given that,
Lyon walked 3/4 mile from school to the soccer field.
He then walked 1/6 mile home.
now, we have to find that,
About how many miles did Lyon walk
so, we need to add the both distance
i.e. 3/4 + 1/6
so, we have,
3/4 -> 9/12
1/6 -> 2/12
so, we get,
9 + 2 = 11
i.e. 3/4 + 1/6
= 9/12 + 2/12
=11/12
Hence, about 11/12 miles Lyon walk.
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A tin of paint covers a surface area of 50m2. Each tin costs £5.60. The entire surface of a solid cylindrical rod with diameter 8m and height 12m needs to be painted. Find the minimum cost of painting the rod. (NO NEED FOR EXLENATION)
the answer is in the picture
Find the volume
Help me please
Answer:
1372/3 π
that's the volume
ANSWER ASAP ILL MARK BRAINLIEST!!!!
find all the real zeros of the quadratic function.
f(x)=2x²-6x-1
Answer:
[tex]2 {x}^{2} - 6x - 1 = 0 \\ a = 2 \: \: \: b = - 6 \: \: \: c = - 1 \\ \\ x = \frac{6\binom{ + }{ - } \ \sqrt{ {6}^{2} - 4(2)( - 1)} }{2 \times 2} \\ \\ x = \frac{6 \binom{ + }{ - } \sqrt{44} }{4} \\ x = \frac{6 + \sqrt{44} }{4} \\ \\ or x = \frac{6 - \sqrt{44} }{4} [/tex]
I hope that is useful for you :)
Would this be 20? I'm confused on what the problem is asking here.
Answer:
This would not be 20
Step-by-step explanation:
This question can be thought as a Pythagoras question.
By subtracting 2cm from both the left side ZW, and the right side YX, you will have a right angled triangle WYX (or ZYX, since after subtracting 2cm Z and W are essentially the same point)
I have attached a crude drawing of what the triangle is looking like, we are looking for the unknown value marked with the ?
Pythagoras states that [tex]a^{2} +b^{2} =c^{2}[/tex]
We are given the lengths 2cm and 20cm, which can be thought of as a (or b) and c. Substitute in the values 2 and 20 and solve for the unknown
wat iz dis bul crup
i was literally THE hardest math problem EVER
Answer: 289,952,278
Step-by-step explanation: Big brain
Please help!!
Take a factor out of the square root:
Answer:
2a times the sq root of 2a or 2a (2a)**1/2
Step-by-step explanation:
(8a**3)**1/2 =
((2**2 * 2) (a**2) (a))**1/2 then take out and squares
2a (2a)**1/2
or 2a times the sq root of 2a
Question 6 of 25
In APQR, m P= 60°, m_ Q = 30°, and m2 R = 90°. Which of the following
statements about APQR are true?
Check all that apply.
Answer:
A, E, F
Step-by-step explanation:
From the angles given, we can infer that ΔPQR is a 30-60-90 special triangle. In a 30-60-90 triangle, the leg opposite the 30 degree angle is 1/2 the hypotenuse and the leg opposite the 60 degree angle is √3 times the one opposite the 30. Using this, we can say:
PR = 1/2 PQ which is just 2 PR = PQ(E)
PR √3 = QR (A)
We can substitute in PR from the first equation to the second to get:
√3/2 PQ = QR(F)
1 point (1) Three times a number minus two times a number* Your answer
Answer:
Three times a number minus two times a number
3x-2x
=x
Find the width of a rectangular strip of land with length 25 m and area 12 square meters?
Answer:
5/4
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
1/2 = 2/5 * w
Multiply each side by 5/2
5/2 * 1/2 = 2/5 *w * 5/2
5/4 = w
Formula we use,
→ A = l × w
Then the width of the rectangle,
→ A = I × w
→ 1/2 = 2/5 × w
Now multiply each side by 5/2,
→ 1/2 × 5/2 = 2/5 × w × 5/2
→ w = 5/4
Hence, the width is 5/4.
Daniel and Saquon are each saving money. Daniel starts with $50 in his savings account and adds $8 per week. Saquon starts with $65 in his savings account and adds $5 each week.
After four weeks, who has more money in their savings account? Explain how you know.
After how many weeks will Daniel and Saquon have the same amount of money in their savings accounts?
Answer:
Sequon has more money after 4 weeks. It would take 5 weeks for their savings accounts to be equal.Step-by-step explanation:
Daniel
Daniel starts with $50 and each week he adds $8. To find out the amount he has in any given week, the following formula would work:
= 50 + 8x
The x is the number of weeks and is multiplied by 8 because the amount of money he has increase by 8 every week.
After 4 weeks he would have:
= 50 + (8 * 4)
= 50 + 32
= $82
Saquon
Applying the same formula:
= 65 + 5x
After 4 weeks:
= 65 + (5 * 4)
= 65 + 20
= $85
Saquon has more money after 4 weeks.
Number of weeks it would take for both of them to have the same amount.
To find this out, equate both formulas and solve for x.
50 + 8x = 65 + 5x
8x - 5x = 65 - 50
3x = 15
x = 15/3
x = 5 weeks
At 5 weeks they will both have:
50 + 8 * 5 = $90
65 + 5 * 5 = $90
