Answer:
theta = 24.4 degrees
Step-by-step explanation:
This is a right triangle.
sin theta = opp/ hyp
sin theta = 33/80
Take the inverse of each side
sin^-1 sin(theta) = sin^-1 (33/80)
theta =24.36197794
To the nearest tenth
theta = 24.4 degrees
There are 30 chocolates in a box, all identically shaped. There are 11 filled with nuts, 10 with caramel and 9 are solid chocolate. You randomly select one piece, eat it and then select a second piece. What is the probability of selecting two solid chocolates in a row?
Answer:
I think the answer is 4 1/2 out of 30 chance.
Step-by-step explanation:
The probability of selecting two solid chocolates in a row is 4/145.
Explanation:To calculate the probability of selecting two solid chocolates in a row, we need to consider the probability of selecting a solid chocolate on the first draw and the probability of selecting a solid chocolate on the second draw, given that a solid chocolate was selected on the first draw.
There are a total of 30 chocolates, with 9 solid chocolates. Therefore, the probability of selecting a solid chocolate on the first draw is 9/30.
After eating the first chocolate, there are now 29 chocolates left in the box, with 8 solid chocolates remaining. So the probability of selecting a second solid chocolate is 8/29.
Since the two events are independent, we can multiply the probabilities of each event to find the probability of both events occurring:
Probability of selecting two solid chocolates = (9/30) * (8/29) = 4/145.
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which graph shows the solution to the following inequality. -5c+2<27
Step-by-step explanation:
Step 1: Subtract 2 from both sides
[tex]-5c + 2 - 2 < 27 -2[/tex]
[tex]-5x < 25[/tex]
Step 2: Divide both sides by -5
[tex]-5x / -5 < 25 / -5[/tex]
[tex]x > -5[/tex]
Answer: [tex]x > -5[/tex]
Answer:
c > -5
Step-by-step explanation:
-5c+2<27
-5c < 25
Switch sides
-25 < 5c
-5 < c
c > -5
Dimensions of a building are 225
feet by 125 feet. If 1 inch
represents 10 feet, what are the
dimensions of the building on the
drawing?
Answer:
divide 300 feet by 50 which is 6, divide 125 ft by 50 which is 2.5. Therefore your dimensions are 6 in by 2.5 in
if you're in putting in the computer it may want 2.5 in fraction form which is 2 1/2 in or in improper fraction form 5/2 in
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Step-by-step explanation:
The building's dimensions would be 22.5 inches by 12.5 inches on the drawing when the scale of 1 inch represents 10 feet.
Explanation:The dimensions of the building you have mentioned are 225 feet by 125 feet. Given the scale of 1 inch represents 10 feet, we can calculate the dimensions of the building on the drawing by dividing each dimension of the building by the scale factor.
So, for the first dimension: 225 feet divided by 10 (scale factor) equals 22.5 inches. For the second dimension, 125 feet divided by 10 equals 12.5 inches.
Therefore, the dimensions of the building on the drawing would be 22.5 inches by 12.5 inches.
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If you help me get this right i will give you brainly, and 5 stars!
Answer:
Column A: Domain: B: -6, -3, -2, 0, 2, 3, 5, 8
Column A: Range: A: -2, -1, 9, 2, 3
Step-by-step explanation:
We can derive these answers by looking at the x and y values of each dot. The Domain is represented by the x values, and the Range is represented by the y values.
The answers chosen contain the x and y values that the graph represents.
An employee's salary went up from $14 to $16.50. By how many percent did it increase? Round off your answer to the nearest percent.
A.15%
B.18%
C.85%
Answer:
B 18%
Step-by-step explanation:
14 times .18 or 18% is 2.52. add that to 14 for 16.52 which is the closest to 16.50
Fill in the blank: 8 feet = __________ inches
Answer:
96
Can I have brainliest
Step-by-step explanation:
Answer:if they are 12 inches on a feet the equation will be 12x8=is 96
so they are 96 inches on 8 feet
a) 7.7 ft
b) 13.4 ft
c) 10.3 ft
d) 12.3 ft
Answer:
D. 12.3 ft
Step-by-step explanation:
This problem requires the use of trigonometric ratios. This one specifically uses the cosine ratio as it provides the hypotenuse and is asking for the side that is adjacent to the angle.
cos(40°)=a/16
cos(40°)×16=a/16×16
cos(40°)×16=a
a=12.256 ft
The length of side a is D. 12.3 ft.
If you flip a coin and roll a 666-sided die, what is the probability that you will flip a heads and roll a 555?
Answer:
Assuming that the die has sides that are equal and that the sides are numbered 1 to 666 (since there are 666 sides), then the probability of rolling a 555 and flip a heads is 1/1,332.
Step-by-step explanation:
Probability of flipping a heads: 1/2
Probability of rolling a 555: 1/666
Multiply the two probabilities to get your probability for rolling both.
1/2 times 1/665 is 1/1,332.
Answer:
1/12
Step-by-step explanation:
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 8 meters cubed. Yolanda found the volume of the sphere.
Her work is shown below.
V = four-thirds (8) cubed.
V = four-thirds (512).
V = StartFraction 2,048 Over 3 EndFraction meters cubed.
What is Yolanda’s error?
A) Yolanda should have found the volume by multiplying 8 by Two-thirds.
B) Yolanda should have found the volume by multiplying 8 by Four-thirds.
C) Yolanda should have found the volume with the formula V = two-thirds pi (8) cubed.
D) Yolanda should have found the volume with the formula V = two-thirds (8) cubed.
The correct answer is B) Yolanda should have found the volume by multiplying 8 by Four-thirds.
Yolanda incorrectly used the formula for volume of a sphere instead of the correct formula. The volume of a sphere is V = (4/3)πr³, not V = four-thirds(8) cubed.
By using the correct formula, Yolanda should have multiplied 8 by four-thirds to find the volume of the sphere, resulting in a different value.
identify the solution to the system of equations
Answer:
(-2, -1).
Step-by-step explanation:
When trying to find the solution to a system of equations graphically, all you need to do is find the point of intersection between the two equations.
In the graph pictured, we can see that the two equations intersect at (-2,-1).
2. Find the mean, median, mode and range of the following numbers.
9, 16, 18, 16, 18, 20, 18, 12, 18, 10, 19, 18
Answer:
mean-175.5
median-18
mode-18
range-11
Step-by-step explanation:
Answer:
(mean 175.5) (median 18) (mode 18) (range 11)
Step-by-step explanation:
What is the value of x?
Answer:
x = 6
Step-by-step explanation:
8^2 + x^2 = 10^2
64 + x^2 = 100
x^2 = 36
x = 6 (-6 can't be a length)
Answer:
The Answer Is 6
Step-by-step explanation:
By Pythagoras Theorem
(AC)^2 = (AB)^2 + (BC)^2
(AB)^2 = (AC)^2 - (BC)^2
(AB)^2 = (10)^2 - (8)^2
(AB)^2 = 100 - 64
(AB)^2 = 36
(AB) = 6
AB = X = 6
simplify 11 to the power of negative 4 over 11 to the power of 8
1. 1 over 11 to the power of 12
2. 1 over 11 to the power of 4
3. 11 to the power of 4
4. 11 to the power of 12
Answer:
1. 1 over 11 to the power of 12
Step-by-step explanation:
[tex] \huge \frac{ {(11)}^{ - 4} }{ {(11)}^{8} } \\ \\ \huge = \frac{ 1}{ {(11)}^{8 + 4} } \\ \\\huge = \frac{ 1}{ {(11)}^{12} } [/tex]
The public library has volunteers shelve books after they have been returned. When Lisa arrives to volunteer, there are 5 non-fiction books for every 9 fiction books. If there are 117 fiction books to shelve, then how many non-fiction books need to be shelved?
Answer:
65 non-fiction books need to be shelved
Step-by-step explanation:
This question can be solved using a rule of three.
For each 5 non-fiction books, there are 9 fiction books. How many non-fiction books are there when there are 117 fiction books?
5 non-fiction - 9 fiction
x non-fiction - 117 fiction
[tex]9x = 5*117[/tex]
[tex]x = \frac{5*117}{9}[/tex]
[tex]x = 65[/tex]
65 non-fiction books need to be shelved
Answer:
52
Step-by-step explanat
because 117 -56-9=52
Your bill at a register is $153.60. Which would be better for you: A 15% off coupon or a $20 off coupon?
Answer:
is this what your looking for?
Step-by-step explanation:
Answer:
!5%
Step-by-step explanation:
The volume of the sphere is
500
- cubic units.
3
What is the value of x?
4 units
5 units
8 units
O 10 units
complete question:
The volume of the sphere is 500/3 π cubic units. What is the value of x?
x = radius
Answer:
x = 5 units
Step-by-step explanation:
The volume for a sphere can be represented as follows
volume = 4/3πr³
volume = 500/3 π
x = radius
volume = 4/3πx³
500/3 π = 4/3 × π × x³
multiply both sides by 3/4
500/3 × π × 3/4 = π × x³
125π = πx³
divide both sides by π
x³ = 125π/π
x³ = 125
cube root both sides
x³ = ∛125
x = 5 units
need help !! 25 points
Answer:
B
Step-by-step explanation:
PLEASE HELP! 20 POINTS!! You have 1 1/2 Oranges, that’s 3/5 of an adult serving. How many oranges and/or orange pieces make up a full adult serving?
Answer:
4
Step-by-step explanation:
1 1/2 / 3/5=2 1/2
1 1/2 + 2 1/2=4
Please help me... Question is in the picture.
Answer:
A) 32 4/5 divided by 8 1/5
B) 4
Step-by-step explanation:
The volume of a cube is 460cm3.
Work out the length of its side rounded to 1 DP.
How do I solve for e?
9e+4=-5e+14+13e
Answer: e = 10
Step-by-step explanation: 9e + 4 = -5e + 14 + 13 e
Now lets bring the variables and numbers on a different side
Remember that when the numbers go to the other side the sign changes
so 4 - 14 = -9e + 13e -5e
-10 = -e
10 = e
if plug in both equations on a graph then you will see that when e = 10 the lines meet at 94.
Answer:
[tex]e=10[/tex]
Step-by-step explanation:
[tex]9e+4=-5e+14+13e[/tex]
Simplify both sides by combining [tex]-5e+13e[/tex] :
[tex]9e+4=8e+14[/tex]
Isolate the variable e. Subtract 8e from both sides:
[tex]9e-8e+4=8e-8e+14\\\\e+4=14[/tex]
Subtract 4 from both sides:
[tex]e+4-4=14-4\\\\e=10[/tex]
:Done
A parallelogram has an area of x2+ 9x− 36.
a.What are expressions for the length and width of the parallelogram?
b.If x is an integer, what is the least possible value of x for a parallelogram to exist? Explain.
Answer:
a) Length [tex]x + 12[/tex], Width [tex]x - 3[/tex], b) [tex]x = 3[/tex]
Step-by-step explanation:
a) The expressions for the length and width of the parallelogram can be determined by factorizing the polynomial:
[tex]A = x^{2} + 9\cdot x - 36[/tex]
[tex]A = (x+12)\cdot (x-3)[/tex]
Length
[tex]x + 12[/tex]
Width
[tex]x - 3[/tex]
b) Since area is a positive variable, the set of solutions encompass all values of x such that area is zero o greater. Then, there are two interval where A is positive:
- When both binomials are negative.
[tex]x \leq 3[/tex] and [tex]x \leq -12[/tex]
[tex]x \leq -12[/tex]
- When both binomials are positive.
[tex]x \geq 3[/tex] and [tex]x \geq -12[/tex]
[tex]x \geq 3[/tex]
Since x is an integer, x must be positive and therefore the least possible value of x is:
[tex]x = 3[/tex]
Anya is making throw pillows and is choosing the type of filling and type of fabric pattern. Complete each statement below about the pillow options.
Answeer:4 for thr first question
Then 4 for the second and the last question is 8
Step-by-step explanation:
Answer:
Step-by-step explanation:
Mike has 9 lollipops, 6 peanut butter cups and 3 pieces of chocolate. If he divides the candy equally into 3 bags, how many pieces of candy will be in each bag?
Answer:
6
Step-by-step explanation:
per bag
9/3=3 lollipops
6/3=2 peanut butter cups
3/3=1 chocolate
then add them together to get 6
Answer: 6 pieces of candy
Step-by-step explanation:
Assuming lollipops, peanut butter cups, and chocolate are wanted in 3 bags, we would add all the candy together.
9+6+3=18
We have a total of 18 candies. Since we have to split the candy into 3 bags, you would divide 18 by 3.
18/3=6
There will be 6 pieces of candy in each bag.
Please help me now plz
Answer:
263
Step-by-step explanation:
remember the square is 90
Please help me now plz
I will mark you brainliest
Answer:
1229 km
Step-by-step explanation:
The missing angle is ...
180° -60° -75° = 45°
Knowing that, the Law of Sines can be used to find the side opposite the 75° angle.
?/sin(75°) = 900 km/sin(45°)
? = (900 km)sin(75°)/sin(45°) ≈ 1229.423 km
The UFO is about 1229 km from KA-12.
Write an inequality, in slope-intercept form, for the graph below. If necessary,
use "=" for < or ">=' . will give brainliest for the correct answer
Answer:
[tex]\displaystyle y > \frac{1}{4} x+1[/tex]
Step-by-step explanation:
To find the inequality of the shaded area which passes through points (-4, 0) and (4, 2), first we need to find the equation of the line.
To find the equation that passes through (x₁, y₁) and (x₂, y₂), we use this formula:
[tex]\boxed{\frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1} }[/tex]
Given:
[tex](x_1,y_1)=(-4,0)[/tex][tex](x_2,y_2)=(4,2)[/tex]Then:
[tex]\begin{aligned}\frac{y-y_1}{y_2-y_1}&=\frac{x-x_1}{x_2-x_1}\\\\\frac{y-0}{2-0}&=\frac{x-(-4)}{4-(-4)}\\\\\frac{y}{2}&=\frac{x+4}{8}\\\\y&=\frac{1}{4}x+1 \end{aligned}[/tex]
Now, we look at the line in the graph. Since the line is a dotted line, which means that the line is excluded from the shaded area. Then we can only use < or > for the inequality (instead of ≤ or ≥).
Finally, we look at the shaded area. Since the area is above the line, which means the y-value of the area is larger than the y-value of the equation (line), then we will use the larger than sign (>) and the answer will be:
[tex]\displaystyle y > \frac{1}{4} x+1[/tex]
Find the area of kite ABCD *
Captionless Image
22 sq cm
36 sq cm
72 sq cm
386 sq cm
None of the above
Answer:
36 sq cm
Step-by-step explanation:
area of kite = diagonal1 * diagonal2/2
area = 18 cm * 4 cm / 2
area = 72 sq cm/2
area = 36 sq cm
Trinity takes a sample of 50 songs and finds that 20 are by a female artist. Based on this problem, which of the following is a 99% confidence interval for the proportion of songs on her phone by a female artist?
Answer: (0.2215, 0.5785)
Step-by-step explanation:
Given, Trinity takes a sample of 50 songs and finds that 20 are by a female artist.
Let p be the proportion of songs on her phone by a female artist.
Then , the 99% confidence interval for p would be :-
[tex]\hat{p}\pm z\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex] ...(i)
As per given , Sample size : n= 50
Sample proportion of songs on her phone by a female artist. [tex]\hat{p}=\dfrac{20}{50}=0.4[/tex]
For 99% confidence level , critical z-value =2.576
Substituting values in (i), we get
[tex]0.4\pm 2.576(\sqrt{\dfrac{0.4(1-0.4)}{50}})\\\\=0.4\pm 2.576\sqrt{0.0048}\\\\\approx0.4\pm0.1785\\\\=(0.4-0.1785,\ 0.4+0.1785)\\\\=(0.2215,\ 0.5785)[/tex]
Hence, a 99% confidence interval for the proportion of songs on her phone by a female artist : (0.2215, 0.5785)
someone solve this please
They're same side interior angles because since it's a parallelogram, the lines are parallel, and in this case, AB and CD are the parallel lines, AD is the transversal, and therefore, x and 115 are same side interior.
Same side interior angles are supplementary so x + 115 = 180
x = 180 - 115 = 65
65 degrees