Help anyone can help me do the question,I will mark brainlest.
Answer:
552
Step-by-step explanation:
I'm almost certain this is correct. Only one step is rounded.
Answer: 942 - 225*sqrt(3)
This is roughly equivalent to 552.29
The unit for the area is in square cm, or cm^2.
The two area values above are based on pi = 3.14, so they are approximations.
============================================================
Explanation:
The radius of the circle is r = 30 because OA = 30.
The full circle has area A = pi*r^2 = 3.14*30^2 = 2826 cm^2 approximately
However, we only want 120/360 = 1/3 of this full area to get the area of the pizza slice. So the area of the pizza slice is approximately (1/3)*2826 = 942 cm^2
This is not the final answer, but helps get us there.
What we just calculated was the approximate area of the entire figure: the yellow area plus the white triangle.
If we can find the area of the white triangle, and subtract it off, then we'll find just the area of the yellow region only.
-----------------------
The SAS (side angle side) area formula for a triangle is
Area = 0.5*p*q*sin(R)
where p,q are the sides and angle R is between those sides.
Here we have p = q = 30, which are sides OA and OB, and we have R = 120 degrees as the central angle.
So the area of triangle AOB is...
Area = 0.5*p*q*sin(R)
Area = 0.5*30*30*sin(120)
Area = 450*sqrt(3)/2
Area = 225*sqrt(3)
This value is exact.
-----------------------
The area of the yellow region is therefore
(area of full figure) - (area of triangle)
(942) - (225*sqrt(3))
942 - 225*sqrt(3)
This is approximate because we used pi = 3.14 as an approximation earlier.
You could then use your calculator to say
942 - 225*sqrt(3) = 552.288568
This rounds to 552.29
Find the slope of the line that passes through the following points: (0, -3), (-6,8)
Answer:
-11/6
Step-by-step explanation:
To find the slope, we use the formula
m = ( y2-y1)/(x2-x1)
= ( 8- -3)/( -6 - 0)
= (8+3)/(-6-0)
= 11 / -6
= -11/6
Please help me solve this quickly!
Answer:
33.80
Step-by-step explanation:
AB = BC = AD√2
AB = BC = 7√2
AD = DC
AC = 2AD
perimeter = AC + AB + BC
= 2AD + 2AB
= 2(7) + 2(7√2)
= 14 + 14√2
≈ 33.80
Answer:
33.8
Step-by-step explanation:
45-45-90 degree triangle rules states that the sides that are opposite the angles measure 45 degrees have the same value. That means that BD has the same value as AD, which is 7. Since triangle BDC is also a 45-45-90 degree triangle, DC is equal to BD, which is 7. We have the value of AC, which is 7+7=14. Now, we can use the Pythagorean theorem to figure out BC and AB. We know that [tex]DC^2+BD^2=BC^2[/tex]. We know that DC and BD is equal to 7, so we can simplify that to [tex]49+49=BC^2[/tex], and we can further simplify that to [tex]BC=\sqrt{98}[/tex]. This is also equal to [tex]7\sqrt{2}[/tex]. Since BC is also equal to AB because of 45-45-90 degree triangle rules, we have the perimeter of the triangle as
[tex]7\sqrt{2} + 7\sqrt{2}+14[/tex], which is equal to [tex]14\sqrt{2} + 14[/tex]. We can simplify 14 times the square root of 2 as 19.8 (rounded to 2 decimal places). We have the answer as 19.8 + 14, which is 33.8.
sequence of number - 25,23,20,16
do with process
Answer:
what should we be finding?
What is your question? if it is arranging in descending order, the answer is as follows:
25,23,20,16
Choose the function that has two different zeros.
A.j(x) = x2 + 6x + 9
B.k(x) = x2 – 8x + 16
C.h(x) = x2 + 2x + 1
D.g(x) = x2 – 64
Answer:
D
Step-by-step explanation:
The first 3 are perfect squares and have 2 equal zeros
j(x) = x² + 6x + 9 = (x + 3)² with zeros x = - 3 , multiplicity of 2
k(x) = x² - 8x + 16 = (x - 4)² with zeros x = 4 , multiplicity of 2
h(x) = x² + 2x + 1 = (x + 1)² with zeros x = - 1 , multiplicity of 2
g(x)
x² - 64 is a difference of squares
(x - 8)(x + 8) = 0
with zeros x = - 8, x = 8 ← 2 different zeros
Evaluate:64 1/3 Question 11 options: A) 8 B) 16 C) 4 D) 2
Answer:
4
Step-by-step explanation:
64^1/3
cube root of 64 is
4
Answer:
C
Step-by-step explanation:
Using the rule of exponents
[tex]a^{\frac{1}{3} }[/tex] ⇔ [tex]\sqrt[3]{a}[/tex] , then
[tex]64^{\frac{1}{3} }[/tex] = [tex]\sqrt[3]{64}[/tex] = 4 → C
The mean score of 7 boys and 16 girls is 49. If the scores of the boys are 42,85,47,29,58,54and 72, find the mean score of the girls
Answer:
[tex]\bar x_{girls} = 46.25[/tex]
Step-by-step explanation:
Given
[tex]Boys = 7\\Girls = 16[/tex]
[tex]\bar x = 49[/tex]
Required
Mean of girls
The mean of the boys and girls is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
This gives:
[tex]\bar x = \frac{\sum(boys) + \sum(girls)}{boys + girls}[/tex]
So, we have:
[tex]49= \frac{42+85+47+29+58+54+ 72 + \sum(girls)}{7 + 16}[/tex]
[tex]49= \frac{387 + \sum(girls)}{23}[/tex]
Cross multiply
[tex]23 * 49=387 + \sum(girls)[/tex]
[tex]1127=387 + \sum(girls)[/tex]
Subtract by 387
[tex]1127-387 = \sum(girls)[/tex]
[tex]740= \sum(girls)[/tex]
[tex]\sum(girls) = 740[/tex]
The mean of girls is:
[tex]\bar x_{girls} = \frac{\sum(girls)}{girls}[/tex]
[tex]\bar x_{girls} = \frac{740}{16}[/tex]
[tex]\bar x_{girls} = 46.25[/tex]
In which of the following triangles is cos B = 0.8?
A
B
C
D
Answer:
B
Step-by-step explanation:
b is the symbol for the side opposite angle B. c is the symbol for the side opposite Using the notation in the above triangles
The triangle that is cos b = 0.8 is triangle d.
The triangles in the diagram are right triangle. Right triangles are triangles that have an angle that is 90 degrees. The sum of angles is 180 degrees.
In order to make use of cos, the value of the adjacent and the hypotenuse would be needed.
Cos = adjacent / hypotenuse
Triangle A:
The value of the adjacent side would be determined using pythagoras theroem
5² - 4²
= 25 - 16
= √9 = 3
Cos B = 3/5 = 0.6
Triangle B:
Cos B = 5/8 = 0.625
Triangle C:
Value of the hypotenuse = 4² + 5²
16 + 25
√41 = 6.4
Cos B = 4/6.4 = 0.62
Triangle D:
Cos B = 4/5 = 0.8
To learn more about triangles, please check: https://brainly.com/question/7894175
The data set represents the total number of pencils each student in a class needs to sharpen.
0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9
Which box plot correctly represents the data?
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 3.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 2 to 6. A line divides the box at 4.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 4.
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 3.
Given:
The data set is:
0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9
To find:
The correct statement that represents the box plot of the data correctly.
Solution:
We have,
0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9
Divide the data in 2 equal parts.
(0, 1, 1, 1, 2), 3, (4, 4, 6, 6, 9)
Divide each parenthesis in 2 equal parts.
(0, 1), 1, (1, 2), 3, (4, 4), 6, (6, 9)
Here,
Minimum value = 0
First quartile = 1
Median = 3
Third quartile = 6
Maximum value = 9
A number line goes from 0 to 10. The whiskers range from 0 to 9, and the box ranges from 1 to 6. A line divides the box at 3.
Therefore, the correct option is D.
Answer:
its d
Step-by-step explanation: my yt Tray Clayps
PLEASE HELP I DONT UNDERSTAND
Write the equation of the line in slope-intercept form that is perpendicular to y = x - 2 and that
passes through the point (6,-5). Show all of your work.
Answer:
y = -x + 1
Step-by-step explanation:
eqn of line: y=mx+c
perpendicular, m1 x m2 = -1
m × 1 = -1
m = -1
y=-x+c
sub x=-5, y=6
6 = -(-5) +c
6 = 5 + c
c = 1
y = -x + 1
Describe the pattern in the following sequence and list the next three terms:
4, 8, 16, 32, ...
I’ll mark brainliest! Please help me
Mr. Pearce wanted to write a check for $85. He noticed that he had only $80 in his checking account. What integer shows what Mr. Pearce's checking account balance would have been if he had written the check?
Answer:
-5 since he only had 80 in his checking
Which of the following scores has the better relative position ( as measured by the z score) a. A score of 53 on a test for which the sample mean is 50. b. A score of 230 on a test for which the sample mean is 200. c. A score of 480 on a test for which the sample mean is 400. d. Cannot be determined with the information provided.
Answer:
d. Cannot be determined with the information provided.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Finding the better relative position:
The score with the better relative position is the one with a higher z-score.
To find the z-score, the mean and the standard deviation is needed, and in this question, the standard deviation is not given, and thus, the correct answer is given by option d.
A square base of a pyramid has dimensions 5 yards by 5 yards. The height of one of the triangular faces is 12 yards. How can you find the surface area of the pyramid?
A square pyramid has 4 triangles and the square base.
Calculate the area of one triangle, multiply that by 4 then add the area of the base.
Area of triangle = 1/2 x base x height = 1/2 x 5 x 12 = 30 square yards.
30 x 4 = 120 square yards
Area of base = 5 x 5 = 25 square yards
Total = 120 + 25 = 145 square yards.
Solve by taking the square root of both sides: (x+3)^2 - 169 = 0
Answer:
x = 10 x = -16
Step-by-step explanation:
(x+3)^2 - 169 = 0
Add 169 to each side
(x+3)^2 - 169+169 = 0+169
(x+3)^2 =169
Take the square root of each side
sqrt((x+3)^2) =sqrt(169)
x+3 =±13
x+3 = 13 x+3 = -13
Subtract 3 from each side
x+3-3 = 13-3 x+3-3 = -13
x = 10 x = -16
Will Mark brainlest help please please please
Answer:
1
Step-by-step explanation:
so, the function is defined as coordinate pairs.
the first coordinate is x (and is the input variable), the second is y (the function result).
a function result is sometimes also called image, as some input information is converted into something else that can then be used, seen, stored, ...
so, the function result = y = 2 and is the result of x²+1.
2 = x² + 1
1 = x²
x = 1
so, 1 is the "pre-image" of 2 for this function. as 2 is the image of 1 under this function.
Find cos A and cot B exactly if a = 15 and b = 11.
Answer:
D. 15/√346
Hope this helps! Have a nice day :)!
Solve the inequation : 2(3-4x) + 3 < 49
As in the picture.hope it helps.......
Plzzzz mark brainlist if correct.....
simplify 12/2 . 12/3
Step-by-step explanation:
is that really all ?
to simplify 12/2 and 12/3 ?
well, 12 can be divided by 2 and by 3 without remainder.
and so we get
12/2 = 6/1 = 6
12/3 = 4/1 = 4
Sine and cosine ratios! help!!
if f(x)= *picture* what is f(|a|) ?
Answer:
hello,
answer C
Step-by-step explanation:
As |a| ≥0,
f(|a|)=|a|+5
Find the area of this
Answer:
124
Step-by-step explanation:
** PLSS HELP QUICK I’LL MARK BRAINLIEST **
Answer:
copy and paste...
Step-by-step explanation:
5[tex]\sqrt{37}[/tex] + [tex]\sqrt{98} - 3\sqrt{147}[/tex]
Hello!
[tex] \bf 5 \sqrt{37} + \sqrt{98} - 3 \sqrt{147} [/tex]
[tex] \bf 5 \sqrt{37} + 7 \sqrt{2} - 21 \sqrt{3} [/tex]
I removed the factors from under the radical.
Good luck! :)
Find the unit rate of miles per gallon for these vehicles
Answer:
Step-by-step explanation:
o find the unit rate , divide the numerator and denominator of the given rate by the denominator of the given rate.
start with the rate of miles to gallons . then divide , write as a rate.
hope this helps.
where are the following vehicles name
Alina has a spinner that has 5 equal sections: red, blue, green, purple, and orange. She spins the spinner 200 times. About how many times should Alina expect the spinner to land on either purple or orange?
40
80
100
120
Answer:
The answer to this question is 80 times.
Answer:
80
Step-by-step explanation:
I need help ASAP plzzzzzzzzzzzzz
Answer:
3/4
Step-by-step explanation:
Let's say that r is the radius of the large circle or the diameter of the small circle.
Area of the big circle is [tex]\pi r^{2}[/tex] .
Area of the small circle is [tex]\pi \frac{r}{2} ^{2} = \pi \frac{r^{2}}{4}[/tex].
The ratio of these 2 circles is 1/4 (calculation in the comments).
So the shaded part represent 1 - 1/4 = 3/4.
how many 5 cents can u get from $1.25?
Answer:
25
Step-by-step explanation:
5 cents = 0.05
1.25 / 0.05 = 25
let me know if i'm wrong
Answer:
25
Step-by-step explanation:
$1.25=125cents
125/5 = 25
please help asap, see attached photo!!
What is the negative square root of 0.25?
Answer:
-0.5
Step-by-step explanation:
