Answers
Answer:
Step-by-step explanation:
Cos(theta) = adjacent / hypotenuse.
Adjacent = 29
Hypotenuse = 31
Cos(theta) = 29/31
Cos(theta) = 0.5355
theta= cos-1(0.5355)
theta = 20.69
Answer: (Rounded) = 21
Related Questions
Scott bought three sets of weights that weighed 25.002 pounds each. How much did all three sets weigh together? O 8.334 O 22.002 O 50.004 75.006
Answers
Answer:
75.006
Step-by-step explanation:
Caroline is building a circular fence for her basil garden. She used 29.8 feet of fencing for the fence. What is the radius of the garden?
Answers
⭒━━━━━━⭑━━━━━━⭒
Given :
Circumference = 29.8[tex] \\ [/tex]
To find:
[tex] \\ [/tex]
Radius of circle[tex] \\ [/tex]
Solution:-
[tex] \\ [/tex]
We know:-
[tex] \rm circumference = 2\pi r[/tex]
[tex] \\ \\ [/tex]
So:-
[tex] \looparrowright \sf circumference = 2\pi r[/tex]
[tex] \\ [/tex]
[tex] \looparrowright \sf 29.8= 2\pi r[/tex]
[tex] \\ [/tex]
[tex] \looparrowright \sf 29.8= 2 \times \dfrac{22}{7} \times r[/tex]
[tex] \\[/tex]
[tex] \looparrowright \sf \dfrac{298 \times7}{22 \times 2 \times 10} = r[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf \dfrac{149 \times7}{22 \times 10} = r[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf \dfrac{1043}{220} = r[/tex]
[tex] \\ [/tex]
[tex] \looparrowright \sf r = 4.74[/tex]
⭒━━━━━━⭑━━━━━━⭒
B᭄rainlyVIP ࿐ ㋛
I've been stuck on this for a few hours.
A sock drawer contains 10 white socks, 6 black socks, and 8 blue socks.
If 3 socks are chosen at random, without replacing the first sock, what is the probability of getting first a black sock, then a white sock, then a blue sock?
Thanks!
Answers
Answer:
As a fraction: 10/253
As a decimal: 0.0395 (3 sf)
As a percentage: 3.95% (3 sf)
Step-by-step explanation:
white socks = 10black socks = 6blue socks = 8Total number of socks = 24Therefore, the probability of picking a black sock is:
P(black) = 6/24
As the sock is NOT replaced, we now have one less black sock:
white socks = 10black socks = 5blue socks = 8Total number of socks = 23So the probability of picking a white sock:
P(white) = 10/23
As the sock is NOT replaced, we now have one less black sock and one less white sock:
white socks = 9black socks = 5blue socks = 8Total number of socks = 22So the probability of picking a blue sock:
P(blue) = 8/22
Therefore, P(black) and P(white) and P(blue) is:
6/24 x 10/23 x 8/22 = 480/12144 = 10/253 = 0.03952... = 3.95%
best answer gets brainliest
Answers
Answer:
c and b hope it helps you in the long run
It will be c because when you do the equation they will give the answer a
3. The angle measures of a triangle are shown in the diagram. What is the
value of x?
(HINT: If you aren't able to solve it using an equation, you can plug in your answer choices
to see which one gets you to the correct tolal for the interior angles of a triangle.)
500
((2x)"
30°
Answers
Answer:
x=50
Step-by-step explanation:
angles in a triangle add up to 180 degrees
hence, 50 + 2x + 30 = 180
solving for x
50 + 2x + 30 = 180
combine like terms
2x + 80 = 180
subtract 180 from both sides
2x = 100
divide both sides by 2
x = 50
Answer:
x=50
Step-by-step explanation:
50°+30°+2x = 180° (sum of all angles of a triangle)
or, 2x +80°= 180°
or, 2x = 180°-80°
or, 2x=100°
or, x= 100°/2
therefore,x°=50°
Again,
2x = 2×50°=100°
(would appreciate it if you could mark me the brainliest:))
How many data values are closer than one mean absolute devitation away from the mean? 34,37,48,32,25,34,35,23,33,30. HELP ME PLEASE
Answers
Which is the sum of all of the values divided by number of values.
Using online calc: mean = 33.1.
Now to find the MAD or mean absolute deviation: which is |value-mean| for each value.
For example abs(34-33.1) = 0.9 this is the absolute deviation. Now we do this for each point and find the mean of all of those values.
Using online calc we get Mad = 4.5
So one away from the mean up and down would be
37.6 — 28.6
So values one MAD away plus or minus would be: 34,37,32,34,35,33,30
Which is 7.
Ms. Pena is grading math tests. If 212 x 51 = 10,812, is the student’s work below correct? Explain
2.12 x 5.1 = 1.0812
Answers
Find the volume of the pyramid.
Answers
Answer:
360 yd^3
Step-by-step explanation:
volume of hexagonal pyramid = √3/2 * s^2 * h
s = side
here side is not given. but base area is given
area of hexagon = 3√3/2 a^2
45 = 3√3/2 s^2
s^2 = 30√3 yd^2
volume = √3/2 * 30√3 *8
= 30 * 3 * 4= 360 yd^3
Joshua wants to complete the first mile of a 8−mile run in 20 minutes or less running at a steady pace. The inequality 8 − p3 ≤ 7 can be used to find p, the pace, in miles per hour, he can run to reach his goal. Solve the inequality. Then graph and interpret the solution.
Answers
Answer:
p >= 1/3
Step-by-step explanation:
to solve the inequality you must start by subtracting 8 to all sides
you will get -3p <= -1
then you divide everything by --3
you end with p >= 1/3
your answer is p >= 1/3
2
For the ratio in Problem 1. how many red
chips are in the bucket if there 44 blue
chips in the bucket?
Answers
There would be 22 red chips in the bucket containing 66 total chips.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let us assume the ratio of red chips to blue chips is 1:2.
Hence, if there 44 blue chips in the bucket:
(2/3) * total chips = 44
Total chips = 66
Number of red chips = (1/3) * 66 = 22
There would be 22 red chips in the bucket containing 66 total chips.
Find out more on equation at: https://brainly.com/question/1214333
x reduced by 5 is less than 12
Answers
Answer:
x < 17
Step-by-step explanation:
im guessing its simplify the equation.
just add 5 to both sides and positive 5 cancels out the subtract five.
twelve + five is 17.
ASAP HELP! BRAINLIEST! can someone help me with this? i need work shown. will mark brainliest!
Answers
Answer:
4x^2 +12x +44 remainder 161x +84
Step-by-step explanation:
At each step, the quotient term is the ratio of the leading dividend term to the leading divisor term. The first quotient term, for example, is ...
(4x^4)/(x^2) = 4x^2
The quotient term found this way is multiplied by the divisor and subtracted from the dividend. The difference is the new dividend and the process repeats.
You're done when the degree of the dividend is less than the degree of the divisor. This remainder can be expressed as a fraction with the divisor as the denominator.
[tex]\dfrac{4x^4+5x-4}{x^2-3x-2}=4x^2+12x+44+\dfrac{161x+84}{x^2-3x-2}[/tex]
Steven invests $20,000 in an account earning 3% interest, compounded annually for 10 years. Three years after Stevens's initial investment, Evan invests $10,000 in an account earning 7% interest, compounded annually for 7 years. Given that no additional deposits are made, compare the amount of interest earned after the interest period ends for each account. (round to the nearest dollar) A) Evan earned $820 more in interest in his account than Steven. B) Steven earned $820 more in interest in his account than Evan. C) Evan earned $1,249 more in interest in his account than Steven. D) Steven earned $1,249 more in interest in his account than Evan.
Answers
Steven earned $820 more in interest in his account than Evan.
What is compound interest?Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter. The compound interest earned is given by the formula,
[tex]A_1 = P(1+\dfrac{r}{100})^n - P[/tex]
In order to compare the two of the given investment, we need to find the interest in each of the investments.
For the investment made by Steven of $20,000 at 3% interest compounded annually for 10 years. The interest that Steven made is,
[tex]A_1 = P(1+\dfrac{r}{100})^n - P\\\\\\A_1 = 20,00(1+0.03)^{10}-20,000\\\\\\A_1 = \$6,878.33[/tex]
For the investment made by Evan of $10,000 at 7% interest compounded annually for 7 years. The interest that Evan made is,
[tex]A_2 = P(1+\dfrac{r}{100})^n - P\\\\\\A_2 = 10,00(1+0.07)^{7}-10,000\\\\\\A_2 = \$6,057.82[/tex]
Now, if we find the difference in the interest earned by the two of the given person.
The difference in the interest earned
= Interest earned by Steven - Interest earned by Evan
= $6878.33 - $6,057.82
= $820.52 ≈ $820
Hence, Steven earned $820 more in interest in his account than Evan.
Learn more about Compound Interest:
https://brainly.com/question/25857212
Choose ALL answers that describe the polygon FGHI if FG=GH=HI=IF and m angle F=m angle G=m angle H = m angle I
Answers
If all the sides and all angles are equal. Then the geometry is known as a square. Then the correct option is E.
What is a square?It is a polygon with four sides. The total interior angle is 360 degrees. A square's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
The polygon FGHI
If the sides are FG = GH = HI = IF and the angles are ∠F = ∠G = ∠H = ∠I
From the definition, all sides are equal and all angles are equal. Then the geometry is known as a square.
More about the square link is given below.
https://brainly.com/question/13747846
#SPJ2
!!!ANSWER NEEDED!!!
Seventh-grade students were surveyed about their favorite color. The results of the survey were recorded in the following tally chart.
According to the experiment, what is the probability of selecting a student whose favorite color is red?
Enter your answer as a percent, like this: 42%
Answers
Answer:
16%
Step-by-step explanation:
25 students total
4 liked red
4 / 25 = 0.16
0.16 = 16%
i hope this helps! have a wonderful rest of ur day :)
The equation 2 w 2 − 18 w + 40 = 0 can be solved to determine w, the width in feet of a rectangular enclosure. Which value represents a possible width of the rectangular enclosure?
Answers
Answer:
w = 5
w = 4
Step-by-step explanation:
I think im right lol
Laura, Maria, and Nathan had 2 1 4 cups of milk to share for breakfast. Laura poured some milk on her breakfast cereal. Then she gave the remaining 2 3 of the milk to Maria. How many cups of milk did Laura give to Maria
Answers
The cups of milk Laura gave to Maria is 19/12 cups is 19/12 cups
How to calculate fractionTotal cups of milk to share = 2 1/4 cupsLaura = xMaria = 2/3 cupsTotal = Laura + Maria
2 1/4 = x + 2/3
2 1/4 - 2/3 = x
9/4 - 2/3 = x
(27-8) / 12 = x
19/12 = x
= 1 7/12
Therefore, the cups of milk Laura gave to Maria is 19/12 cups
Learn more about fraction:
https://brainly.com/question/11562149
A breakfast food company has decided to shrink the size of its cereal boxes by 5%
If the boxes currently hold 20 oz of cereal, how much less cereal will be contained in the new boxes?
Answers
Answer:
1oz
Step-by-step explanation:
5% as a decimal is .05
.05 x 20= 1
12. Given two segments with lengths x and y (x not equal to y), what
special parallelograms meet the given conditions? Draw a sketch for
each scenario.
a. Both diagonals have length y and do not intersect at right angles.
b. One diagonal has length x, the other has length y. The diagonals intersect at right
angles.
Answers
Answer:
I'm pretty sure,
1. Is a Trapezoid
2. Is a Rhombus
Step-by-step explanation:
Look at a picture of them,
1. A trapezoid has equal length diagonals, but because of the outer legs? if you want to call them that, they're at an angle, same with its vertices, so, the angles at which they bisect are not right angles.
2. A Rhombus, has diagonals that are not the same length, one is longer than the other. Therefore, that solves the first part of the question. And when they bisect, they bisect at right angles because the side lengths of a Rhombus are congruent.
what is 57.82 ÷ 0.784 (show ur work long divison)
Answers
Answer:
73.75
Step-by-step explanation:
[tex]\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:1000[/tex]
[tex]\frac{57820}{784}[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace7\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 784\overline{|\smallspace57820}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace5\emptyspace4\emptyspace8\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace2\emptyspace9\emptyspace4\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{57.82}{0.784}\:\mathrm{is}\:73.75[/tex]
Hence, the correct answer is 73.75
Caden owns 9 white t-shirts and 9 t-shirts in other colors ? If Caden randomly selects a t-shirt to wear, what is the probability it will be white?
Answers
Answer:
1/2
Step-by-step explanation:
Answer:
it is 1/2 or 9/18
Step-by-step explanation:
there was 18 shirts all together and half were white
good luck!
Bob has 28 bars. He gives 7 bars to 4 friends each. How many bars did each friend get?
Answers
Answer:
7
Step-by-step explanation:
It says "he gives 7 bars" to each of 4 friends.
Answer:
7
Step-by-step explanation:
28/4 = 7
Each friend gets 7 bars
Have an amazing day!
PLEASE RATE!!!
Determine if the equations are intersecting, parallel, or coincident.
bx - ay = 2
ax + by=3
-Intersecting
-Coincident
-Parallel
Answers
Answer:
Intersecting
Step-by-step explanation:
Factor completely 5ab(x 6) − 4(x 6). Prime (x 6)(5ab 4) (x 6)(ab) (x 6)(5ab − 4).
Answers
The complete factor of the polynomial 5ab(x + 6) − 4(x + 6) is (x + 6)(5abx − 4). Then the correct option is D.
What is polynomial?Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
Factor completely 5ab(x + 6) − 4(x + 6).
Take (x + 6) common, then we have
5ab(x + 6) − 4(x + 6)
(x + 6)(5abx − 4)
The complete factor of the polynomial 5ab(x + 6) − 4(x + 6) is (x + 6)(5abx − 4). Then the correct option is D.
More about the polynomial link is given below.
https://brainly.com/question/17822016
Answer:
D
Step-by-step explanation:
best choice
In a certain Algebra 2 class of 20 students, 8 of them play basketball and 7 of them play baseball. There are 8 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Answers
Answer:
3/4
Step-by-step explanation:
add the students who play baceball and basketball together it will be your numerator
the total amount of students will be your denomanator
then simplify
by the way there can not be 23 students in a class that only has 20 kids so this answer may be wrong according to your wording
sorry
What is another way of writing the following expression?
4+ 5+2
А
4(5+2)
B
4x5x2
с
(4 + 5) + 2
D
(4 + 5) + (4 + 2):
Answers
Answer: I am going to evaluate this question. The anwser is 99
There are 60 students in a class. Out of the 60 students, there are 15 girls. Jill is the name of 5 of the girls.
What is the probability that a girl named Jill will be selected at random?
Mark all that apply.
A- 15/60
B- 1/12
C- 5/15
D- 5/60
E-1/3
Answers
Answer:
E or c
Step-by-step explanation:
The demometer is the maximum amount of the number of jills in the group so if 5 out of 15 in the group is named jill then turn it into a fraction like 5/15
But you could simplify by findin the similar factirs then dividing them by the equivalent amounts
how many terms of the arithmetic series 3+9+15.... will add up to 19200?
Answers
Answer:
32 005
Step-by-step explanation:
use this formula
Tn = a +(n-1)d
A welder is commissioned to make a gold metal cone from a cylindrical cone form, as shown. The height of the cylinder is 66 centimeters, and the diameter of the cylinder is 20 centimeters. The welder purchases tubs of material to fill up the shaded portion of the form to make the gold cone. The formula for the volume of a cone is V = 1 3 π r 2 h , while the formula for the volume of a cylinder is V = π r 2 h .
Answers
The shaded portion is equal to 13816cm^3
Data;
Height = 66cmd = 20cmVolume of a CylinderThe formula of volume of a cylinder is given as
[tex]v=\pi r^2 h[/tex]
Let's substitute the values and solve
[tex]v = \pi r^2 h\\\\r = d/2\\d = 20\\r = 20/2 = 10cm\\v = 3.14 * 10^2 * 66\\v = 20724cm^3[/tex]
Volume of a ConeThe volume of a cone is given as
[tex]v = 1/3 \pi r^2 h\\v = 1/3 * 3.14 * 10^2 * 66\\v = 6908cm^3[/tex]
The space remaining from creating the cone out of the cylinder is
[tex]20724 - 6908 = 13816cm^3[/tex]
The shaded portion is equal to 13816cm^3
Learn more on volume of cone and cylinder here;
https://brainly.com/question/25920983
My wife can run 4 miles in 22 minutes. What is her time (in minutes) per each mile she ran?
Answers
Answer:
5.5... five minutes and thirty seconds
Step-by-step explanation:
