Answer:
∠A ≈ 71.57
Step-by-step explanation:
You use inverse tangent since it gives you the opposite and adjacent sides: [tex]tan^-1[/tex]
[tex]tan^-1(9/3)[/tex]
≈ 71.565
Round to nearest hundredth:
≈ 71.57
Joaquin used 1-3/6 cups of apple juice and 1-4/6 cups of orange juice in a recipe for punch. How much juice did Joaquin use?Solve this problem any way you choose.
Answer:
The answer is 3 and 1/6 cups.
Step-by-step explanation:
If Joaquin used 1 and 3/6 cups of apple juice and 1 and 4/6 cups of orange juice for the punch, there is a total of 2 cups and the fractions can be added as their denominators are the same.
3/6 + 4/6 = 7/6 cups
So the total juice in the punch is 3 and 1/6 cups.
I hope this answer helps.
Select one or more expressions that together represent all solutions to the equation. Your answer should
be in radians
Assume n is any integer
13 sin(2x) - 3 = 3
Answer:
The answer is A
Step-by-step explanation:
Answer:
0.24+n*pi and 1.33+n*pi
Step-by-step explanation:
First you add three to both sides to get:
13sin(2x)=6
Then you divide by thirteen to both sides to get:
sin(2x)= 6/13
Next, you use a calculator to perform the inverse of sine to both sides, which is arcsin, and cancels out the sin.
arcsin(sin(2x))= arcsin(6/13) -> 2x= arcsin(6/13)
Arcsin(6/13)= approximately 0.48. But besides 0.48, there is another solution, because the y value of 6/13 can have two possible x values, both in quadrant one and two. We found the quadrant one value. The quadrant two value is just pi-0.48=2.66.
So, if we add two pi (360 degrees) to both of these solutions for n amount of times, then on a graph, we would end up on the same point every time. Each of those revolutions around the graph is one solution. These are the solutions:
2x= 0.48+n*2pi -> 0.24+n*pi
2x=2.66+n*2pi -> 1.33+n*pi
The price of a skirt is $25 more than the price of a t-shirt. The total price of 3 skirts and 8 t-shirts is $339. Find the price of the skirt.
In ΔLMN, the measure of ∠N=90°, ML = 97, NM = 65, and LN = 72. What ratio represents the tangent of ∠L?
Answer:
tan ∠L = 65/72
Step-by-step explanation:
The tangent ratio is:
tan of angle x = opposite/adjacent
Looking from the perspective of angle L, find the opposite side.
This side is MN, measuring 65 units.
opposite = 65
Now let's find the adjacent side.
This side is LN, measuring 72 units.
adjacent = 72
Therefore, the tangent ratio of angle L is 65/72.
Answer:
65/72
Step-by-step explanation:
find the point that lies on the line described by the equation below. y - 3 = 3 (x - 9)
Answer: D
Step-by-step explanation: (9,3) is the given point in the equation where y-y1=m(x-x1)
Answer:
D. (9, 3)
Step-by-step explanation:
You can solve figure this out by plugging in the coordinates. The best guess would be that the answer is "D," and we can check:
y - 3 = 3(x - 9)
3 - 3 = 3(9 - 9)
0 = 3(0)
0 = 0
Since the answers match, answer "D," is correct.
Lauren’s book is 180 pages long. She has read 80% of it. How many pages has she read.
Answer: 144 pages
Step-by-step explanation: if you take 180 and multiple it by the decimal of 80% which would be .8 you get 144
Answer:
144 pages
Step-by-step explanation:
You have to do 180 times 80/100.
that will get you to 144 pages.
what is the sum of the geometric series?
a. 21/2
b. 21/8
c. 21
d. 10
Answer:
A
Step-by-step explanation:
Which prisms are similar to a prism with a length of 10 feet, a width of 6 feet, and a height of 12 feet?
Answer:
2
Step-by-step explanation:
what is the circumference of a circle witha radius of 4 in
25.12 in or 8π
Step-by-step explanation:
Since you didn't specify whether or not to leave pi or to make it be 3.14, I did both.
The formula for the circumference of a circle is...
[tex]C=2\pi r[/tex]
So...
[tex]C=2*3.14*4[/tex]
C = 25.12 in
If you want to leave pi...
[tex]C=2*\pi *4[/tex]
C = 8π
Evaluate each series
Answer:
solution is 147
work is shown
If a =(9,18) and b=(1,12) what is the length of ab
Answer:
AB = 10
Step-by-step explanation:
Use the distance formula: √(12 - 18)^2 + (1 - 9)^2
√36 + 64
10
Answer:
10 units
Step-by-step explanation:
Use the distance formula. Substitute the values, (1-9)²+(12-18)²=100. The square root of 100 is 10.
Wegnerkolmp2741o Plz answer
The best shooters in the NBA make about 90% of their free throws (shots from the line). If a player took 20 shots, what number of those shots would you expect to go in?
Answer:
18 shots
Step-by-step explanation:
By criss cross method
100% -> 20 shots
90% - >?
[tex]answer = \frac{90 \times 20}{100} = 18[/tex]
Hope this helps...
Answer:
18
Step-by-step explanation:
Take the number of shots times the probability that they will go int
20 * 90%
Change to decimal form
20 *.90
18
18 of the shots would be expected to go in
the sum of four consecutive integers is 34. find the least of the numbers.
a 6
b 7
c 8
d 5
Answer:
7 and 8
Step-by-step explanation:
the no. are 7,8,9,10
What is the area of the circle below, the circle has a radius 20.5 ft.
84 feet
92 feet
O 1319.59 ftsq
659.79 ftsa
O 128.74
O none
Answer:
It is approximately 1320.25
how would you change x + 3y = 18 -3x - 12y = -75 to eliminate x
Answer:
Multiply the equation by 3 making positive 3X which will cancel out with negative 3X
Aisha reduced the size of her square driveway. She made one side 10 feet shorter and the other side 15 feet shorter. The smaller rectangular driveway will have an area of no more than 800 square feet.
Complete Question:
Aisha reduced the size of her square driveway. she made one side 10 feet shorter and the other side 15 feet shorter. the smaller rectangular driveway will have an area of no more than 800 square feet. write an inequality to represent the area of the smaller driveway.
Answer:
The inequality that represents the area of the smaller drive way is [tex]x(x-25) \leq 650[/tex]
Step-by-step explanation:
Let the original length of the sides of Aisha's square driveway be = x
She made one side 10 ft short, i.e. (x - 10) ft
She made the other side 15 ft short, i.e. (x - 15) ft
Since the sides are no longer equal, the driveway is now a rectangle
The question states that the smaller rectangular driveway will have an area of no more than 800 square feet
Area of a rectangle = length * Breadth
Area = (x - 10)*(x - 15)
[tex]Area = x^{2} - 15x - 10x + 150\\Area = x^{2} - 25x + 150[/tex]
Area ≤ 800
[tex]x^{2} - 25x + 150 \leq 800\\ x^{2} - 25x - 650\leq 0\\x(x-25) \leq 650[/tex]
Solving the above, x = 40.9 or -15.9
Since the length of a square cannot be negative, x = 40.9 ft
Answer:
(x-10)·(x-15)≤800
Step-by-step explanation:
imagine math
I get an automatic 100 just for completing the assignment and I’m failing right now and really stressed. Should I just guess and receive all hundreds or actually work it out, it’s due at 12 and I have four more assignments.
Answer:
Just try your best for all of it, but make sure for each question, you at least have an answer, so the assignmet would count as complete.
Step-by-step explanation:
Answer:
submit whatever you have, guess all of it to get it all done. if you have time you can go back and check
Step-by-step explanation:
a(b-x)=cx
make x the subject of formular
Answer:
×=
[tex] \frac{ab}{?c + a} [/tex]
Answer:
x = [tex]\frac{ab}{c+a}[/tex]
Step-by-step explanation:
a(b-x) = cx
ab - ax = cx
ab = cx + ax
ab = x (c + a)
divide both sides by (c + a) for x to stand alone
x = ab/ c + a
Anyone know the answer?
Answer:
A≈18.38
Step-by-step explanation:
Solve for area
Shape: Parallelogram
Formula: Base*Height
5.25*3.5=18.375
Round answer
Hope this helps.
I NEED HELP PLZ ANSWER CORRECTLY!!!!!!
(a,b) (less, greater)
Answer: The diameter of Pool A is 7.32 meters. So, the diameter of Pool B is greater, and the circumference is greater by 0.56 meters.
Step-by-step explanation:
The diameter of a circle is double its radius.
Pool A has a radius of 12 feet - double that would be 24 feet, its diameter.
Next, convert this to meters:
[tex]24 * \frac{0.305}{1} = 7.32[/tex]
The diameter of pool A is 7.32 meters.
The diameter of pool B is 7.5 meters.
The diameter of pool B is greater.
You can calculate the circumference of a circle by using this formula:
[tex]C = 2\pi r[/tex], where r is the radius.
Divide 7.5 by 2 to get your radius of Pool B, which is 3.75, and solve for C:
[tex]C = 7.5\pi \\\\C = 23.561[/tex]
Rounding to the nearest hundredth, the circumference for pool B is 23.56 meters.
Do the same thing for pool A:
[tex]C = 7.32\pi \\\\C = 22.996[/tex]
Circumference for pool A rounds to 23 meters.
Answer:
the diameter of pool a is 24. so, the diameter of pool b, is greater, and idk the rest
Which algebraic expression represent this phase
The blueprint for the Moreno Moreno's living room has a scale of 2 inches equals 7 feet 2 inches=7 feet. The family waThe blueprint for the Moreno Moreno's living room has a scale of 2 inches equals 7 feet 2 inches=7 feet. The family wants to use a scale of 1 inch equals = 6 6 feet. What is the width of the living room on the new blueprint? A rectangle is labeled width = 12 inches. Width equals 12 inches width=12 inchesnts to use a scale of 1 inch equals = 6 6 feet. What is the width of the living room on the new blueprint? A rectangle is labeled width = 12 inches. Width equals 12 inches width=12 inches
Corrected Question
The blueprint for the Moreno Moreno's living room has a scale of 2 inches equals 7 feet.The family wants to use a scale of 1 inch equals = 6 feet. What is the width of the living room on the new blueprint? A rectangle is labeled width = 12 inches.
Answer:
7 Inch
Step-by-step explanation:
The width of the room on the old blueprint = 12 Inches
Scale on the old blueprint:
2 inches = 7 feet.
Therefore: 1 Inch =7/2 feet
12 Inches =12 X 7/2 feet =42 feet
The actual width of the room is 42 feet.
Scale on the new blueprint
1 inch equals = 6 feet; which we can reorder as:
6 feet=1 inch
1 feet =1/6 Inch
Therefore:
42 feet = 42 x 1/6 Inch =7 Inch
Thus, the width of the living room on the new blueprint is 7 Inch.
Write 81 as a power in many ways as you can.
Answer:
9^2, 3^4
Step-by-step explanation:
9 x 9 = 81
3 x 3 = 9 x 3 = 27 x 3 = 81
Andrés y Ana María celebran hoy su aniversario de bodas con sus tres hijos. Para ello han decidido preparar una torta de nueces cuyos ingredientes son:
Answer:
1 taza de harina
1 taza de harina1 taza de nueces molidas
1 taza de harina1 taza de nueces molidas1 taza de azúcar
1 taza de harina1 taza de nueces molidas1 taza de azúcar2 cucharadas de polvo para hornear
1 taza de harina1 taza de nueces molidas1 taza de azúcar2 cucharadas de polvo para hornear4 huevos
1 taza de harina1 taza de nueces molidas1 taza de azúcar2 cucharadas de polvo para hornear4 huevos100 gramos de mantequilla
If y varies directly as the square root of x and y = 8 when x = 36, find the value of y when x = 144. y =
Answer:
y=32
Step-by-step explanation:
cross multiply
36/4 *144/y
144*8/36
=1152/36
y=32
Answer:
D. -180
Step-by-step explanation:
In ΔWXY, the measure of ∠Y=90°, WX = 67 feet, and XY = 41 feet. Find the measure of ∠X to the nearest degree.
Answer:
52 degrees
Step-by-step explanation:
The question is on a screenshot
Answer:
[tex]x=\frac{4}{15}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}x=\frac{1}{5}\\\mathrm{Multiply\:both\:sides\:by\:}4\\Simplify\\4\cdot \frac{3}{4}x=\frac{1\cdot \:4}{5}\\\mathrm{Simplify\:}4\cdot \frac{3}{4}x:\quad 3x\\\mathrm{Simplify\:}\frac{1\cdot \:4}{5}:\quad \frac{4}{5}\\3x=\frac{4}{5}\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{\frac{4}{5}}{3}\\Simplify\\\frac{3x}{3}=\frac{\frac{4}{5}}{3}\\\mathrm{Simplify\:}\frac{3x}{3}:\quad x\\\mathrm{Simplify\:}\frac{\frac{4}{5}}{3}:\quad \frac{4}{15}\\x=\frac{4}{15}[/tex]
Answer:
[tex] \frac{4}{15} [/tex]
2nd answer is correct
step by step explanation
[tex] \frac{3}{4} \times x = \frac{1}{5} \\ x = \frac{1}{5} \times \frac{4}{3} \\ x = \frac{4}{15} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
In a group of Year 9 students, the ratio of boys to girls is 9 : 7. There are 4 more boys than girls in this group. How many students are in this group altogether?
Answer: 32
Step-by-step explanation:
There are 18 boys and 14 girls (4 more boys than girls. 32 students total.
If the ratio of boys to girls is 9 : 7, there are 32 students in this Year 9 group altogether.
Let's denote the number of boys as "9x" and the number of girls as "7x" since the ratio of boys to girls is 9:7. We are also given that there are 4 more boys than girls, so we can set up an equation:
Number of boys = Number of girls + 4
9x = 7x + 4
Now, we can solve for "x":
9x - 7x = 4
2x = 4
x = 2
Now that we have the value of "x," we can find the number of boys and girls:
Number of boys = 9x = 9 * 2 = 18
Number of girls = 7x = 7 * 2 = 14
Finally, to find the total number of students in the group, we add the number of boys and girls:
Total number of students = 18 (boys) + 14 (girls) = 32.
The ratio of boys to girls is 9:7, and there are 4 more boys than girls.
To learn more about ratio click on,
https://brainly.com/question/30925663
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Solve the system of equations
-10x+3y=5
x=y-4
x=
y=
Answer:
So the answer is y=5 and x=1
What is the expression and value of "six less than the quotient of a number and two, increased by ten" when n = 8?
Answer:
n/2 - 6 + 10
8/2 - 6 + 10
4 - 6 + 10
= 8
Step-by-step explanation:
Answer:
It's B
Step-by-step explanation:
I just took the test, sorry if I didn't come on time.