Answer:
see below
Step-by-step explanation:
Angle C is equal to the 1/2 the difference of the two arcs
C = 1/2 ( large DC - small DC)
Large DC = ( 360 - 5x - 2) sum of a circle is 360 degrees
Small DC = 5x-2 the central angle is equal to the intercepted arc
C = 1/2 ( 360 - 5x-2 - ( 5x -2)) Angle Formed by Two Intersecting Chords
C = 1/2 ( 360 - 2 ( 5x-2))
Distributing the 1/2
C = 180 - (5x-2)
Replacing the C with 2x+7
2x+7 = 180 - (5x-2)
Add 5x-2 to each side
2x+7 +5x-2 = 180
Antonio is correct
Combine like terms
7x +5 = 180
7x = 175
Divide by 7
x =25
Then solve for A = 5x-2
A = 5*25-2
= 125-2
= 123
Find the total area for the regular pyramid.
Answer:
=12pl+B
Step-by-step explanation:
where p represents the perimeter of the base, l the slant height and B the area of the base.
Answer:
4 + 4 sqrt 10
Step-by-step explanation:
In first half of a basketball game one team scored 45 points. This was 5/9 of their score for the whole game. How many points did the team score in the second half?
please help thx :)
Answer:
36
Step-by-step explanation:
45*(9/5)=81(The whole score)
81-45=36(the second half score)
Answer:
36
Step-by-step explanation:
Because you multiply 9*9=81, and then 81-45=36, Because 9*5=45, so the answer is 36.
Jacob had a six-sided number cube. Each side was labeled with one number, from 1
through 6. What is the probability that Jacob rolls a prime number?
Round to the nearest tenth.
Answer:
1 out of 6 because you have only one chance to get 4.
Step-by-step explanation:
Answer:
50% chance
Step-by-step explanation:
A prime number is a number that a natural number greater than 1 that is not a product of two smaller natural numbers. And the only prime numbers between 1 and 6 are 2,3, and 5. This is 3 numbers. So he has a chance of 3/6 =.5=50%
please answer this question now
Answer:
≈ 94.9 mi²
Step-by-step explanation:
The area (A) of Δ WXY can be calculated as
A = [tex]\frac{1}{2}[/tex] × WY × WX × sinW
∠ W = 180° - (40 + 21)° = 180° - 61° = 119°
Calculate WX using the Sine rule, that is
[tex]\frac{11}{sin21}[/tex] = [tex]\frac{WX}{sin40}[/tex] ( cross- multiply )
WX sin21° = 11 sin40° ( divide both sides by sin21° )
WX = [tex]\frac{11sin40}{sin21}[/tex] ≈ 19.73 mi , thus
A = 0.5 × 11 × 19.73 × sin119° ≈ 49.9 mi² ( to the nearest tenth )
Assume that an opinion poll conducted in a 1998 congressional race found that on election eve, 54% of the voters supported Congressman Stevens and 44% supported challenger Jones. Also assume that the poll had a +/- 3% margin of error. What would the pollster be able to safely predict?
Answer:
Congressman Stevens will win the race
Step-by-step explanation:
Considering the margin of error, the possible outcomes for each candidate would be:
Congressman Stevens: from (54 - 3)% to (54+3)%
Challenger Jones: from (44 - 3)% to (44+3)%
Congressman Stevens: from 51% to 57%
Challenger Jones: from 41% to 47%
Therefore, even considering the margin of error, the pollster would be able to safely predict that Congressman Stevens will win the race.
If approximately 10% of people are left-handed, how many lefties would you expect in a high school graduating class of 424
Answer:
42
Step-by-step explanation:
P(left) = 0.10
Expected number of lefties among high school grads of 424
= 424 * 0.10
= 42 (to the nearest person)
Answer:
you do 20% of 424
1 0% of 424 =42.4
you could round it to 42
simplify
[tex] {a}^{ - 2} {b}^{3} [/tex]
Answer:
Below
Step-by-step explanation:
● a^(-2) *b^3
●(1/a^2) *b^3
● b^3 / a^2
Compare 1/11 to 11/20 using least to greatest
Answer:
0.09
0.55
Step-by-step explanation:
to write least to greatest firstly, start comparing both number
so the answer will be=0.09,0.55
it least to greatest or in assending order.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
[tex]\sqrt{3}x^2y+x^3-x[/tex]
Step-by-step explanation:
In an expression that is a polynomial, the exponent of the variables (x and y) are natural numbers bigger or equal to 0. So, the only expression that is a polynomial is [tex]\sqrt{3}x^2y+x^3-x[/tex], because we have the exponents equal to 2, 3, and 1 for x and an exponent equal to 1 for y.
The other expressions have exponents that are negatives, rational or the exponent is the same variable.
In a standard normal distribution, what is the probability of a z-score being less than 2.55?
Answer:
The probability is 0.0053861
Step-by-step explanation:
To answer this question, the best thing to do is to put the wordings in a mathematical expression.
Thus what we have is;
P(z < 2.55)
Now since we have the mathematical expression, the next thing to do here is to use the standard normal distribution table.
From the standard normal distribution table, we can get the probability value that equals the given z-score value
Mathematically this is;
P(z<2.55) = 0.0053861
Which expressions are equivalent to -6n+(-12)+4n−6n+(−12)+4nminus, 6, n, plus, left parenthesis, minus, 12, right parenthesis, plus, 4, n ? Choose all answers that apply: Choose all answers that apply: (Choice A) A 4(n-3) -6n4(n−3)−6n4, left parenthesis, n, minus, 3, right parenthesis, minus, 6, n (Choice B) B 2(2n-6)2(2n−6)2, left parenthesis, 2, n, minus, 6, right parenthesis (Choice C) C None of the above
Answer:
The correct option is;
Choice A 4·(n - 3) - 6·n
Step-by-step explanation:
The given expression is
Which gives;-6·n+(-12)+4·n
- 12 + 4·n-6·n = -2·n - 12 = - (2·n + 12)
The options given are Choice A and/or Choice B;
(Choice A) 4·(n - 3) - 6·n
Which can be simplified as follows;
4·(n - 3) - 6·n = 4·n - 12 - 6·n
Which gives;
4·n - 12 - 6·n = 4·n - 6·n- 12 = -2·n - 12 = -(2·n + 12)
Therefore, 4·(n - 3) - 6·n is equivalent to -6·n+(-12)+4·n
For choice B, we have;
2·(2·n - 6) which gives;
2·(2·n - 6) = 4·n - 12
Therefore, 2·(2·n - 6) is not equivalent to -6·n+(-12)+4·n
Which gives the correct option as Choice A.
4(n-3)-6n
Khan academy I got this right
George walks 1 mile to school. He leaves home at the same time each day, walks at a steady speed of 3 miles per hour, and arrives just as school begins. Today he was distracted by the pleasant weather and walked the first 1/2 mile at a speed of only 2 miles per hour. At how many miles per hour must George run the last 1/2 mile in order to arrive just as school begins today?
Answer:
George must run the last half mile at a speed of 6 miles per hour in order to arrive at school just as school begins today
Step-by-step explanation:
Here, we are interested in calculating the number of hours George must walk to arrive at school the normal time he arrives given that his speed is different from what it used to be.
Let’s first start at looking at how many hours he take per day on a normal day, all things being equal.
Mathematically;
time = distance/speed
He walks 1 mile at 3 miles per hour.
Thus, the total amount of time he spend each normal day would be;
time = 1/3 hour or 20 minutes
Now, let’s look at his split journey today. What we know is that by adding the times taken for each side of the journey, he would arrive at the school the normal time he arrives given that he left home at the time he used to.
Let the unknown speed be x miles/hour
Mathematically;
We shall be using the formula for time by dividing the distance by the speed
1/3 = 1/2/(2) + 1/2/x
1/3 = 1/4 + 1/2x
1/2x = 1/3 - 1/4
1/2x = (4-3)/12
1/2x = 1/12
2x = 12
x = 12/2
x = 6 miles per hour
Question 4 of 8
Consider the recursive function of an arithmetic sequence below.
f(1) = 3
f(n) = f(n − 1) + 4, for n = 2, 3, 4,...
What is the 6th term of the sequence?
19
23
27
22
Submit
Answer:
[tex]\large \boxed{\sf \ \ 23 \ \ }[/tex]
Step-by-step explanation:
Hello, please consider the following.
[tex]a_1=f(1)=3\\\\a_2=f(1)+4=3+4=7\\\\a_3=f(3)=a_2+4=7+4=11\\\\a_4=a_3+4=11+4=15\\\\a_5=a_4+4=15+4=19\\\\a_6=a_5+4=19+4=23[/tex]
So the answer is 23.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
I Shall Name Thee Brainliest! (:
What is -7Q + 6 + 5Q = 15 - 7 solve and check
3 (P+5) + P = 3(2+P) solve and check
2(A+4) + 6A = 2(2 + 3A) solve and check
Answer:
hello, friend(✿◡‿◡)
Step-by-step explanation:
-7Q + 6 + 5Q = 15 - 7
Q=-1
3 (P+5) + P = 3(2+P)
P=-3
2(A+4) + 6A = 2(2 + 3A)
A=-2
Ronald bought a car for 2,500. The value of the car depreciates by 6 percent each year. What type of function is this ?
Answer:
Exponential
Step-by-step explanation:
The liner function represents that there is a constant change in the original value of the asset
While on the other hand the ex[onential function refers to that function in which there is an increase or decreased in the value of the asset that contains the current value of the asset
Hence, the given situation denotes the exponential function
 Shelby baked 48 cookies with 6 scoops of flower. how many scoops of flour does Shelby need in order to bake 64 cookies? Solve using unit rates.
Answer:
8 scoops of flour
Step-by-step explanation:
It asks for you to solve using unit rates so we need to find out the rate of how much flour you need to bake a single cookie since the question is about how many scoops of flour Shelby needs to bake 64 cookies.
So first, do 6/48, which is 1/8.
It takes 1/8 scoop of flour to bake one cookie.
Unit rate: 1/8 scoop of flour per cookies.
Now, we can multiply 1/8 by 64 since 64 is the number of cookies Shelby needs and 1/8 is the amount of flour for one single cookies. 1/8 * 64 = 8.
Shelby needs 8 scoops of flour to bake 64 cookies
The angle measurements in the diagram are represented by the following expressions.
Answer:
143°Step-by-step explanation:
<A and <B are corresponding angles
< A = < B
plugging the values
[tex]7x + 24 = 3x + 92[/tex]
Move variable to L.H.S and change its sign
[tex]7x - 3x + 24 = 92[/tex]
Move constant to R.H.S and change its sign
[tex]7x - 3x = 92 - 24[/tex]
Calculate
[tex]4x = 68[/tex]
Divide both sides of the equation by 4
[tex] \frac{4x}{4} = \frac{68}{4} [/tex]
Calculate
[tex]x = 17[/tex]
Replacing value
<A = [tex]7x + 24[/tex]
[tex] = 7 \times 17 + 24[/tex]
[tex] = 119 + 24[/tex]
[tex] = 143[/tex]
hope this helps...
The book cost (in dollars) for one semester's books are given below for a sample of five college students. Calculate the sample variance of the book costs. 200, 130, 400, 500, 345 Group of answer choices
Answer:
17,960
Step-by-step explanation:
Given the following data, book cost (in dollars) = 200, 130, 400, 500, 345.
First of all, we will find the mean of the given data.
[tex]Mean = \frac{200+ 130+ 400+500+ 345}{5}\\Mean =\frac{1575} {5 }\\Mean = 315[/tex]
Or
Mean = (200+130+400+500+345)/5
Mean = 1575/5 = 315.
Second step is to subtract the mean from each book cost;
(200-315) + (130-315) + (400-315) + (500-315) + (345-315)
(-115)+(-185)+85+185+30
Next you square the above deviation;
[tex](-115)^2+(-185)^2+85^2+185^2+30^2\\13225+34225+7225+34225+900\\= 89800[/tex]
Then, divide the above by the average which is 5 in this case.
[tex]Variance = \frac{89800}{5}\\\\Variance = 17960[/tex]
Hence, the value of the variance is 17,960.
Find the ordered pair $(s,t)$ that satisfieFor a certain value of $k,$ the system \begin{align*} 3a + 4b &= 7,\\ 6a + 4b &= k- 4b \end{align*}has infinitely many solutions $(a,b).$ What is $k$?s the system \begin{align*} \dfrac{s}{2} + 5t &= 3,\\ 3t - 6s &= 9. \end{align*}
Answer:
Step-by-step explanation:
Simplify the expression.
a4b3 + 8a4b3=???
PLEASE HELP??! ASAP!!?
Answer:
9[tex]a^{4}[/tex]b³
Step-by-step explanation:
The 2 terms are like terms and can be combined, that is
[tex]a^{4}[/tex]b³ ( 1 + 8)
= 9[tex]a^{4}[/tex]b³
Answer:
9a^4b^3
Step-by-step explanation:
a^4b^3 + 8a^4b^3
These are like terms so we can add them together
Factor out a^4b^3
a^4b^3( 1+8)
a^4b^3 (9)
9a^4b^3
Halle en metros cuadrados la cantidad de cartón necesaria para elaborar el sólido que se muestra:: POR FIS ES DE UNA EVALUACION ALGUIEN QUE ME AYUDEEE:).
Answer:
La cantidad de cartón necesaria para hacer el sólido es de 165 m² de cartón.
Step-by-step explanation:
La figura en la pregunta consta de tres formas
1) Una pirámide cuadrada
Altura inclinada = 5 m
Longitud lateral base = 3 m
2) un cubo
Longitud lateral, s = 3 m
3) Un prisma rectangular
Longitud = 6 m
Altura = 3 m
Ancho = 3 m
El área de superficie de la pirámide cuadrada, [tex]S_P[/tex] = 2 × Altura inclinada × Longitud del lado base
[tex]S_P[/tex] = 2 × 5 × 3 = 30 m²
El área de superficie del cubo, [tex]S_C[/tex] = 6 ×(Longitud lateral, s)²
[tex]S_c[/tex] = 6 × 3² = 54 m²
El área de superficie del prisma rectangular, [tex]S_R[/tex] = 4 × largo × alto + ancho × alto
[tex]S_R[/tex] = 4 × 6 × 3 + 3 × 3 = 81 m²
La cantidad de cartón necesaria para hacer el sólido, [tex]S_S[/tex] = [tex]S_P[/tex] + [tex]S_C[/tex] + [tex]S_R[/tex]
[tex]S_S[/tex] = 30 + 54 + 81 = 165 m².
La superficie del cartón necesaria para construir el sólido es de 165 m².
PLEASE HELP!!!
What is the interquartile range of this data set?
1,5, 27, 29, 34, 46, 48, 61, 64, 84, 96
Answer:
37
Step-by-step explanation:
Answer:
D. 37
Step-by-step explanation:
Your choice is correct!
The surface area of a solid is 10 square feet. The dimensions of a similar solid are
three times as great as the first. The surface area of the new solid in square feet
is...
PLEASE urgent
Answer:
90 ft²
Step-by-step explanation:
Given the sides of similar figures in the ratio a : b, then
ratio of areas = a² : b²
Here ratio of sides = 1 : 3 , thus
ratio of areas = 1² : 3² = 1 : 9
That is the surface area of the new solid is 9 times the first
SA = 9 × 10 = 90 ft²
The total surface area of the new solid in square feet is 90 square feet
Let the solid be a cube.
The surface area of a cube = 6L²
L is the length o the cube;
If the surface area of a solid is 10 square feet, then;
10 = 6L²
L² = 10/6
L = √10/6
If the dimensions of a similar solid are three times as great as the first, then;
New length Ln = 3√10/6
Total surface area of the new solid = 6Ln²
Total surface area of the new solid = 6(3√10/6)²
Total surface area of the new solid = 6(9*10/6)
Total surface area of the new solid = 6(90/6)
Total surface area of the new solid = 90 square feet
This shows that the total surface area of the new solid in square feet is 90 square feet
Learn more here: https://brainly.com/question/23756628
Which properties would you use to simplify the following expression? log (17x3)
Answer:
Step-by-step explanation:
Did you mean log (17*3)? If so, your log (17x3) becomes log 17 + log 3.
Did you mean log 17^3? If so, log 17^3 = 3 log 17.
Did you mean log 17*x*3? If so, this equals log 17 + log x + log 3
Answer:
C: 1 and 3
Step-by-step explanation:
EDGE2021
let [tex]p=x^{2}+6[/tex]
Which equation is equivalent to [tex](x^{2}+6)^{2}-21=4x^{2}+24[/tex] in terms of [tex]p[/tex]?
Answer:
Hello There. ☆~---~--___●♡●__~--☆ Since p = x² - 7, you can substitute/plug in p for x² - 7
So:
(x² - 7)² - 4x² + 28 = 5
(p)² - 4x² + 28 = 5 You can factor out -4 from (-4x² + 28)
p² - 4(x² - 7) = 5 Plug in p
p² - 4p = 5 Subtract 5
p² - 4p - 5 = 0 And, your correct answer is C.
Hope It Helps!~
ItsNobody~ ☆
Please answer please question
Answer:38
Step-by-step explanation:multiple
Find the midpoint of the segment between the points (−5,13) and (6,4)
Answer:
(0.5, 8.5)
Step-by-step explanation:
use this formula ((x1+x2/2), (y1+y2/2)) if you use desmos graphing calculator and you type this formula in, all you have to do it put in the correct numbers and you get your midpoint.
Hope this helped :)
The midpoint of the segment between the points (−5,13) and (6,4) are (0.5 and 8.5)
We have given that, the points (−5,13) and (6,4)
We have to determine the midpoints
What is the formula for the midpoint?((x1+x2/2), (y1+y2/2))
x1=-5,x2=6,y1=13 and y2=4
-5+6/2=1/2=0.5
and next is,
13+4/2=17/2=8.5
The midpoint of the segment between the points (−5,13) and (6,4) are (0.5 and 8.5)
To learn more about the midpoint visit:
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Which letter has a line of symmetry?
Answer:
D. all of the above
Step-by-step explanation:
All the letters from the options have a line of symmetry.
Complete the table for the given rule.
1
Rule: y =-
4
y
13
4
2
Answer:
x y
1/4 0
13/4 3
2 7/4
Step-by-step explanation:
To complete the table we just need to replace the value of x and get y as:
for x = 1/4
[tex]y=\frac{1}{4}-\frac{1}{4}=0\\[/tex]
for x=13/4
[tex]y=\frac{13}{4}-\frac{1}{4}=\frac{12}{4}=3[/tex]
for x=2
[tex]y=2-\frac{1}{4}=\frac{7}{4}[/tex]
So, the complete table is:
x y
1/4 0
13/4 3
2 7/4
Help ASAP! Will name brainliest!
Answer:
2 by 3
Step-by-step explanation:
please mark brainliest if it helped