Answer:
5. B) x = 7
6. D) 35°
7. C) 67°
8. A) 142°
Step-by-step explanation:
5. Inscribed angle of a semicircle is equal to 90°. Therefore,
16x - 22 = 90
Solve for x
16x - 22 + 22 = 90 + 22
16x = 112
16x/16 = 112/16
x = 7
6. Recall: inscribed angle = ½(intercepted arc)
3x - 1 = ½(8x - 26)
2(3x - 1) = 8x - 26
6x - 2 = 8x - 26
Collect like terms
6x - 8x = 2 - 26
-2x = -24
-2x/-2 = -24/-2
x = 12
m<LMN = 3x - 1
Plug in the value of x
m<LMN = 3(12) - 1 = 36 - 1
m<LMN = 35°
7. Recall: inscribed angle = ½(intercepted arc)
Therefore,
4x + 28 = ½(11x - 1)
2(4x + 28) = 11x - 1
8x + 56 = 11x - 1
Collect like terms
8x - 11x = -56 - 1
-3x = -57
-3x/-3 = -57/-3
x = 19
Arc BC = 360° - (Arc AC + Arc AB) (Full circle)
Substitute
Arc BC = 360 - (11x - 1 + 85)
Plug in the value of x
Arc BC = 360 - (11*19 - 1 + 85)
Arc BC = 360 - (209 - 1 + 85)
Arc BC = 360 - 293
Arc BC = 67°
8. Inscribed angles intercepted by the same arc are equal. Therefore,
8x - 41 = 5x + 1
Collect like terms
8x - 5x = 41 + 1
3x = 42
3x/3 = 42/3
x = 14
5x + 1 = ½(arc PS) => inscribed angle = ½ of intercepted arc
2(5x + 1) = arc PS
Plug in the value of x
2(5*14 + 1) = arc PS
2(70 + 1) = arc PS
2(71) = Arc PS
Arc PS = 142°
Tiffany ate 1/4 of a pizza. If there were 16 slices of pizza to begin with, how many slice did Tiffany eat?
jehejejdjdjjdjdkjfjf
The height, in feet, of a t-shirt launched from a t-shirt cannon high in the stands at a football stadium is given by h(x) = -8x^2+ 32x + 40 where x is the time in seconds after the t-shirt is launched.
What is the factored form of the equation for the height of the t-shirt?
Answer:
the equation is h(x)=e
Step-by-step explanation:
so by this just use quizlet it helps alot yk I can't explain it but it does
What is the perimeter of the triangle?
units
Answer:
Perimeter of triangle= sum of two sides and hypotenuse
Answer:
30 units
Step-by-step explanation:
The perimeter of the triangle is the sum of the two legs, or the shorter sides a and b, and the hypotenuse, the last and longest side, c.
We can already see that side a and b have the lengths of 5 and 12 units.
To find the length of c, use the formula a² + b² = c².
Substitute our a and b values into the formula and solve for c.
a² + b² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
√169 = √c²
13 = c
The third side is 13 units long.
Now we can add our values for a, b, and c together to find the perimeter.
5 + 12 + 13 = P
30 = P
The perimeter is 30 units.
Good luck ^^
someone please answer this and dont just take my points and run without giving me the answer
Answer:
So the answer is v=112 sa=165
Step-by-step explanation:
Try using formulas such as 1
4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4
and
A=12bh
Answer: v=112 sa=165
Step-by-step explanation: I took your points and now I'm running away ._.
Help please! i don't understand what the questoin is asking me to put
Answer:
Bx72
Step-by-step explanation:
Hope this helps
Answer:
it is asking what name of this solution is and how to solve it
Step-by-step explanation:
PROBLEM SOLVING You and your friend are among several candidates turning for class president. You estimate that there is a 15% chance you will and a 25% chance your friend wil What is the probability that you
or your friend win the election?
The probability that you or your friend win the electionis %
Answer:
40%
Step-by-step explanation:
15/100 +25/100 = 40/100 or 40%
pls help, do atleast 1-6. Will give brainliest!
Answer:
1.) 2√42
2.) 31.7
3.) 26.3
4.) 67.1
5.) 60
6.) 6√2
Step-by-step explanation:
Use pythagorean theorem
a^2+b^2=c^2
Due to random variations in the operation of an automatic coffee machine, not every cup is filled with the same amount of coffee. Assume that the mean amount of coffee dispensed is 8 ounces and the standard deviation is 0.6 ounce. Use the 68-95-99.7 rule to complete the following. a. What percent of the cups should have less than 8 ounces of coffee? b. What percent of the cups should have less than 7.4 ounces of coffee?
Answer:
465
because it is the wright answer
8
IS THE FOLLOWING
EQUATION
LINEAR OR
NONLINEAR?
y = 4 + x2
What coordinates are reflection along the x-axis from the coordinates (4, - 2)? A (-4,-2) B (4,-2) C (-2,4) D (4,2)
Answer:
Option D
Step-by-step explanation:
Rule for the reflection of a point (x, y) over the x-axis is given by,
(x, y) → (x, -y)
Applying this rule image point of a point (4, -2) will be,
(4, -2) → (4, 2)
Therefore, Option D will be the correct option.
Answer:
d
Step-by-step explanation:
Writing a linear equations
Answer:
y=-3/5x
Step-by-step explanation:
The lines y = 2x + 1 and y = -5x - 6 intersect at
a. (1, 1)
b. (1, 2)
c. (-1, -1)
d. (-1, 2)
C. (-1, -1)
Step-by-step explanation:
hope this helps ya :)
Austin is going to invest in an account paying an interest rate of 2.2% compounded daily. How much would Austin need to invest, , for the value of the account to reach $27,000 in 6 years?
Answer:
Principal, P = $23675.90
Step-by-step explanation:
Given the following data;
Interest rate = 2.2 %
Future value = $27000
Time = 6 years
Number of times = 365 days
To find the principal amount, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] 27000 = P*(1 + \frac{0.022}{365})^{365*6}[/tex]
[tex] 27000 = P*(1 + 0.000060)^{2190}[/tex]
[tex] 27000 = P*(1.000060)^{2190}[/tex]
[tex] 27000 = P*(1.1404)[/tex]
[tex] P = \frac {27000}{1.1404} [/tex]
Principal, P = $23675.90
Sixth grade
1.3 Equivalent tractions review
Type the missing number that makes these fractions equal:
?/10=14/20
Answer:
7
Step-by-step explanation:
¡PLEASE HELP! I'll give out 80 points
Answer: I think it’s c?
Step-by-step explanation:
Not sure though
Answer:
C. the graph of f(x) +K
Step-by-step explanation:
C is the only graph with a y = 3
Consider the line segment PQ with endpoints P(- 3, - 2) and Q(2, 3). Which point divides the line segment directed from P to Q in the ratio of 3:2?
Answer:
(0,1) point C
Step-by-step explanation:
the line segment PQ is divided into 5 parts ( 3parts +2 parts)
Is very important that you keep the direction correct from P to Q
The point C divides the PQ into 3:2 ratio
(0, 1) is the point that divides the line segment directed from P to Q in the ration of 3 : 2.
Vectorially speaking, we determine the the location of the point that divides the line segment in the ratio of [tex]a : b[/tex].
[tex]R(x,y) = P(x,y) + \frac{a}{a+b}\cdot [Q(x,y) - P(x,y)][/tex] (1)
Where:
[tex]P(x,y)[/tex], [tex]Q(x,y)[/tex] - Endpoints.[tex]R(x,y)[/tex] - Resulting point.If we know that [tex]P(x,y) = (-3, -2)[/tex], [tex]Q(x,y) = (2, 3)[/tex], [tex]a = 3[/tex] and [tex]b = 2[/tex], then the location of the resulting point:
[tex]R(x,y) = (-3, -2) + \frac{3}{5}\cdot [(2,3)-(-3,-2)][/tex]
[tex]R(x,y) = (-3,-2) +\frac{3}{5}\cdot (5, 5)[/tex]
[tex]R(x,y) = (-3, -2) + (3,3)[/tex]
[tex]R(x,y) = (0, 1)[/tex]
(0, 1) is the point that divides the line segment directed from P to Q in the ration of 3 : 2.
We kindly invite to check this question on line segments: https://brainly.com/question/23297288
PLEASE HELP ME WITH THIS! WORTH 20 POINTS!!!
If you have a scale factor of...
a. 3 what happens to the figure? Explain. Be as specific as possible. (2 pts)
b. 1/4 what happens to the figure? Explain. Be as specific as possible. (2 pts)
Declan says that any number n, the product 4 times n is greater than 4. Which value of n shows why declan is incorrect
Answer: [tex]n>1[/tex]
Step-by-step explanation:
Given
The product of 4 times n is greater than 4 i.e.
[tex]\Rightarrow 4\times n>4\\\text{Dividing both side of inequality by 4}\\\\\Rightarrow \dfrac{4n}{4}>\dfrac{4}{4}\\\\\Rightarrow n>1[/tex]
It can be said that the value of n must be greater than 1.
Jaden bounces the basketball 20 times in 30 seconds. At that rate, approximately
how many times will Jaden bounce the ball in 150 seconds?
Answer:
150÷30 =5
20×5 =100 so in 150 seconds he will bounce the ball 100 times
Mario went to a store and bought 3 slices of pizza. The guy at the register said " that would be $3.75". Mario then said "wait, let me add 1 more slice of pizza". How much is his bill now?
Answer:
$5
Step-by-step explanation:
Cost per slice
3.75 / 3 = 1.25
Cost of 4 slices
1.25 * 4 = 5
Answer:
$5
Step-by-step explanation:
First, find how much one slice of pizza costs.
Divide Mario's total by the number of slices he got:
3.75/3
= 1.25
So, one slice of pizza costs $1.25
Add this to his total to find how much his bill will be with one more slice:
3.75 + 1.25
= 5
So, his bill will be $5
A banquet hall charges a fixed rate of $50, plus a cost of $15 per person. Which equation models this relation, where C is the total cost, in dollars, and n is the number of people attending?
Answer:
Step-by-step explanation:
C=50+15n
WILL MARK BRAINLIEST IF RIGHT!!!
Answer:
12
Step-by-step explanation:
[tex]AD^{2} =AB * (AB+BC)[/tex]
Sam is 10 years younger than one-half the age of his aunt. Let a represent his aunt’s age. Which algebraic expression can be used to determine Sam’s age if his aunt is 40?
StartFraction a Over 10 EndFraction minus 2; when a = 40 Sam is 2 years old
StartFraction a Over 10 EndFraction + 2; when a = 40 Sam is 6 years old
StartFraction a Over 2 EndFraction minus 10; when a = 40 Sam is 10 years old
StartFraction a Over 2 EndFraction + 10; when a = 40 Sam is 30 years old
Answer:
The Quadratic Formula
Step-by-step explanation:
3rd one
You roll a standard number cube 36 times, how many times can you expect to roll an odd number?
Answer:
18 times
Step-by-step explanation:
Half of the possibilities you can roll are correct. so 18 out of 36 times you roll an odd number.
You could also look at it another way. You can expect to roll each number 6 times, so the 3 odd numbers added together is 18 times.
Which point has coordinates (-5, -5) ?
Please help ASAP!! I will give 20 points !! for correct answer
Answer:
Your answer is S
Step-by-step explanation:
You move 5 to the left on the X axis, side to side.
Then you move 5 down on the Y axis, up and down.
PLS HELP ME ITS DUE TODAY
Answer:
7/8 cup: 3 1/2cups
2 cups: 1.2 cups
2 1/2cups: 5/8 cup
Step-by-step explanation:
Find the value of x in the figure shown.
Answer:
x= 17
Step-by-step explanation:
Assuming that the total degree of this side is also 90, we'll subtract 90 with 39.
90 - 39= 51
since x is 3 times the total degree, we'll divide 51 by 3, leaving us with 17.
Which best compares the phases of matter to marbles in a tray? A solid is like the tray being shaken and the marbles moving around it, and a liquid is like the tray being shaken slowly and all the marbles moving in their positions. A solid is like the tray being shaken slowly and all the marbles moving in their positions, a liquid is like the tray being shaken and the marbles moving around it, and a gas is like the tray being shaken hard and the marbles moving vigorously around it. A gas is like the tray being shaken slowly and all the marbles moving in their positions, and a solid is like the tray being shaken hard and the marbles moving vigorously around it. A liquid is like the tray being shaken hard and the marbles moving vigorously around it, and a gas is like the tray being shaken slowly and all the marbles moving in their positions.
Answer:
A solid is like the tray being shaken slowly and all the marbles moving in their positions, a liquid is like the tray being shaken and the marbles moving around it, and a gas is like the tray being shaken hard and the marbles moving vigorously around it.
Step-by-step explanation:
In science, matter can be defined as anything that has mass and occupies space. Any physical object that is found on earth is typically composed of matter. Matter are known to be made up of atoms and as a result has the property of existing in states.
Generally, matter exists in three (3) distinct or classical phases and these are;
1. Solid: it is the state of matter in which the physical substance has a definite shape and fixed volume but not compressible. Examples of solids are pen, screwdriver, television, car etc.
2. Liquid: it is the state of matter in which the physical substance can be poured and it takes the shape of its container. Also, liquids generally have a definite volume. Examples of liquids are urine, water, milk, blood etc.
3. Gas: it is the state of matter in which the physical substance has no definite shape or volume and as a result fills all available space. Also, gases are easily compressible and can flow. Examples of gases are hydrogen, oxygen, argon, nitrogen etc.
Hence, the statement which best compares the various phase of matter to marbles in a tray is that,
a. All the marbles which are solid move in their positions when the tray is shaken slowly.
b. When the tray is being shaken and the marbles moves around it, this represents a liquid.
c. When the marbles move vigorously around the tray as it's being shaken quickly, this represents the a gas or gaseous state.
Answer:
it's B.
A solid is like the tray being shaken slowly and all the marbles moving in their positions, a liquid is like the tray being shaken and the marbles moving around it, and a gas is like the tray being shaken hard and the marbles moving vigorously around it.
A rectangular rug feet long and wide feet wide with a perimeter of 60 ft both X and Y are whole numbers between 10 and 20
Complete Question
A rectangular rug feet is x ft long and y feet wide with a perimeter of 60 ft both X and Y are whole numbers between 10 and 20. Fill in the blanks to complete the sentence. The Area of the rug is greater than___but less than__.
Answer:
he Area of the rug is greater than but less than [tex]441ft[/tex]
Step-by-step explanation:
From the question we are told that:
Perimeter [tex]P=60ft[/tex]
Value Range:Between 10-20
Generally the Area of the rug is greater than for values of X and Y greater than 9
Therefore Area is greater than from whole number 9
Generally the equation for Area greater than [tex]A_g[/tex] is mathematically given by
[tex]A_l=X*Y[/tex]
Where
[tex]X=9\\Y=9[/tex]
Therefore
[tex]A_l=X*Y[/tex]
[tex]A_l=9*9[/tex]
[tex]A_l=81ft[/tex]
Generally the Area of the rug is less than for values of X and Y less than 21
Therefore Area is less than from whole number 21
Generally the equation for Area greater than A_l is mathematically given by
[tex]A_g=X*Y[/tex]
Where
[tex]X=21\\Y=21[/tex]
Therefore
[tex]A_g=X*Y[/tex]
[tex]A_g=21*21[/tex]
[tex]A_g=441ft[/tex]
find the area of the following kite: 8cm 2cm 2cm 2cm A= _ cm^2
HELP FAST
Answer:
64cm
Step-by-step explanation: If you multiply the 8 with 2 then that's gonna be 16 multiply that with 2 you will get 32, 32 by 2 is 64 cm.
That is how I got my answer.