Step-by-step explanation:
(sinx)²=1/4sinx=√1/4sinx =1/2sinx=sin30°x=30°hope it helps.
Answer:
x = 30, 150, 210, 330 degrees.
Step-by-step explanation:
(sin x)^2 = 1/4
sin x = +/- √1/4
sin x = +/- /2
In the first quadrant x = angle whose sine is 1/2 = 30 degrees.
There is also a solution in the other 3 quadrants.
In second quadrant where sine = 1/2 , x = 180-30 = 150 degrees,
In 3rd and 4th where sine x = -1/2 the angles are 210 and 330 degrees.
8x−10 ∘ +4x+52 ∘ =90 ∘
Answer:
[tex] \huge\red{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]
[tex]8x - 10 + 4x + 52 = 90 \\ 8x + 4x - 10 + 52 = 90 \\ 12x + 42 = 90 \\ 12x = 90 - 42 \\ 12x = 48 \\ x = \frac{48}{12} \\ x = 4[/tex]
➳The value of x = 4.Now, the value of the angles,
[tex]8x - 10 \\ = 8(4) - 10 \\ = 32 - 10 \\ = 22[/tex]
➳ 1 angle = 22°[tex]4x + 52 \\ = 4(4) + 52 \\ = 16 + 52 \\ = 68[/tex]
➳ 2 angle = 68°ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\purple{ \mid{ \underline{ \overline{ \tt ꧁❣ RainbowSalt2222 ࿐ }} \mid}}[/tex]
Utilizando la semejanza de triángulos realiza el siguiente ejercicio:
Answer:
NC = 4
Step-by-step explanation:
BC/MN = AC/AN
25/15 = AC/6
15AC = 25 × 6
3AC = 5 × 6
AC = 5 × 2
AC = 10
AN + NC = AC
6 + NC = 10
NC = 4
Respuesta:
4
Explicación paso a paso:
BC/AN
MN:AC
⇒25/x= 15/6 {Multiplicación cruzada}
15x=150
⇒AC=10
∵NC= AC-AN
∴NC=10-6 =4
Write the following percentages as a fraction in simplest form
Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a2 – 18 square units. Which is an equivalent expression for the area of the hexagon based on the area of a triangle?
6(4a2 – 3)
6(8a2 – 9)
6a(12a – 9)
6a(18a – 12)
Answer:
A. 6(4a²-2)
Step-by-step explanation:
Got it correct… You’re welcome.
You can burn about 500 calories if you run 5 miles. How
many miles will you need to run to burn 1,200 calories?
Justify your reasoning.
A restaurant sells curried cashew soup. On Monday the cook uses 3/5 of a bag of cashew. On Tuesday the cook uses ½ as any cashews as on Monday. What fraction of a bag of cashew does the cook use on Tuesday?
Answer:
The restaurant cooked 3/10 as many cashews on Tuesday
Step-by-step explanation:
If the word problem says that they used 3/5 of a bag of cashews on Monday, and they used 1/2 AS MANY.
So "as many" gives us a clue to multiply.
3/5 * 1/2 = 3/10
So the restaurant cooks 3/10 bag of cashews on Tuesday
Whats the área and circumference if the diameter is 10mm?
Answer:
78.54
Step-by-step explanation:
Answer:
Circumference of a circle in terms of radius:
Circumference = 2·π·r = 2·3.14·5 = 31.42 mm.(*)
In terms of diameter:
Circumference = π·d = 3.14·10 = 31.4 mm.(*)
In terms of area:
Circumference C = √4·π·A = √4·π·78.54 = 31.42 mm.(*)
Step-by-step explanation:
Note: For simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.
Factor the following quadratic function to find the zeros.
Answer:
Answer is A.
Step-by-step explanation:
x^2-15x-16
x^2+x-16x-16
x(x+1)-16(x+1)
(x+1)(x-16)=0
x=-1 and x=16
hiii need help again thank youuu:)
Answer:
678.58 ft^3
Step-by-step explanation:
V=πr2h/3
25.12/12.5663706 = 1.99898608
1.99898608 X 3 = 5.99695826
h= 6ft
6/2 = 3
6 * 3 = 18
V = π * 6^ * 18/3
V = 678.584013
In hockey, Nick plays an average of 35 games per season. He finished the season with 47 goals. How many goals did he score per game?
geometric sequence
Answer options:
A) an=7(2)n-1
B) an =3 (2) n-1
C) an=5 (2) n-1
D) an= 224(2)n-1
E) an = 6 (2) n-1
Need help with this problem asap
Answer:
plug in the day to the equation:
November 1st is day 305, so November 24th would be day 328
y = 116.65 sin(0.02(328) +1.89) + 731.71
= 116.65 sin(8.45) + 731.71
= 828.247 minutes of daylight
≈ 13.8 hours or 13:48 (because .8 of an hour is ≈ 48 minutes)
translate triangle p by the vector
Answer:
I need the whole question..
Step-by-step explanation:
Have a nice day!
Your lunch bill is L. You want to leave a 20% Tip. Write what expression could be used to show this situation.
A. L (1-0.2)
B. L (1+0.2)
C. 0.8L
Answer:
B
Step-by-step explanation:
B is correct. That '1' represents the lunch bill. That '0.2' represents the 20% top. Total final bill is (1 + 0.20)L
Answer:
B. L (1+0.2) is the answer
Find the measure of arc FV
Answer:
FV = 60
Step-by-step explanation:
VG => 65 × 2 = 130
FH major arc=> 119 × 2 = 238
FH major arc - GH = FG
FG => 238 - 168 = 70
VG - FG major arc = FV
FV => 130 - 70 = 60
Answer:
60 degrees
Step-by-step explanation:
The measure of an inscirbed angle is half the measure of the intercepted arc.
(The measure of the arc is twice the measure of the angle!)
The inscribed angle at V intercepts an arc of 2 x 119 = 238 degrees, so the measure of arc FGH is 238. Subtract arc GH from that, 238 - 168 = 70, so that is the measure of arc FG.
The angle at H intercepts an arc with measure 2 x 65 = 130. The measure of arc VFG is 130. But arc FG is part of that, so subtract its measure from 130. 130 - 70 = 60.
The measure of arc FV is 60 degrees.
PLZ ANSWER ASAP!
Alison and bruce want to buy a car. They sell their old car to the dealership for $5500. They also make a payment of $2300. They still owe 40% of the regular price of the car. What is the regular price of the car?
Answer:
50600
Step-by-step explanation:
40/100×5500
=2200×2300×100
=50600
If its right brainyest pls
Tina would like to drink 64 ounces of water. How many quarts must she drink?
Answer:
4 quarts
Step-by-step explanation:
1 cup = 8 ounces
quart = 2 cups
So this is easy => just do 64/8 which is 8 cups
-------------------------------------------------------------
Then, you do 8 cups/2 to make quarts.
so answer is 4 quarts :)
thisssss??????????????
Answer:
Part A = 91.125in²
Part B = 8 boxes
Step-by-step explanation:
Work is underlined
Normal text = explanation
Hey There!
What we want to do to find how many supply boxes can fit inside of the larger box is find the volume of the larger box and divide that by the volume of the supply boxes.
To find the volume of the supply boxes:
We are told that the supply box is in the shape of a cube.
That being said we can find the volume by using this simple formula
[tex]V=s^3[/tex]
where s = side length
The supply box has a side length of 4.5 so we just plug in 4.5 into the formula
[tex]V=4.5^3\\4.5*4.5*4.5=91.125[/tex]
So we can conclude that the volume of the supply box is 91.125 square inches.
Now to find the volume of the larger box.
The larger box is in the shape of a rectangular prism.
The volume of a rectangular prism can be found by multiply the width by the length by the height.
The box has the following dimensions:
width = 18 in
height = 4.5 in
length = 9 in
This means that the volume = 9 * 4.5 * 18
9 * 4.5 = 40.5
40.5 * 18 = 729.
so the volume of the larger box is 729 square inches.
Now we want to find how many little boxes can fit inside the larger box.
Like stated before this can be done by dividing the volume of the little boxes by the volume of the larger box
so # of supply boxes that can fit inside of the larger box = [tex]\frac{729}{91.125}[/tex]
Using a calculator: [tex]\frac{729}{91.125} =8[/tex]
Hence, 8 smaller boxes can fit inside of the larger box
In July 2008, a forest fire near the Park Yosemite National burned about 53 miles squares of forest. If a square mile equals 640 acres, about how many acres of forest were burned?
Answer:
33,920 acres of forest were burned.
Step-by-step explanation:
In this case, since you know that a square mile is equal to 640 acres, you can use a rule of three to find the acres that are equivalent to 53 square miles:
1 square mile → 640 acres
53 square miles → x
x=(53*640)/1
x=33,920 acres
According to this, the answer is that 33,920 acres of forest were burned.
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease y=330(1.06)^x
=======================================================
Explanation:
The general form of an exponential function is
y = a*b^x
where 'a' is the initial starting amount and b helps determine if we have exponential decay or exponential growth, and how much of it.
We have a = 330 as the initial amount. Since b = 1.06 is larger than 1, this means we have exponential growth. If 0 < b < 1, then we would have exponential decay.
Solving 1+r = 1.06 leads to r = 0.06 = 6%, showing we have a growth rate of 6%
This means that if we started with say 100 people, and the population grew by 6%, then at the end of the time unit (say 1 year), then we'd have 106 people.
help me pls :) i put a lot of points
if a_1=3 and a_n=(a_n-1)^2-5 then find the value of a_3
Answer:the value would be 6-10
Step-by-step explanation:
13. The following data are the amounts of
potassium, in grams, per serving in randomly
selected breakfast cereals.
I need help
3 Answers
Choice B) Billy misidentified the first quartile valueChoice C) Billy misidentified the medianChoice D) Billy misidentified the third quartile valueThe correct box plot is shown below.
=====================================================
Explanation:
The first step when constructing a box plot is to sort the data from smallest to largest. That has already been done for us, so we can move to the next step.
For step 2, we need to find the median. This is the middle-most value. Write out all of the values on one horizontal line. Then cross off the first and last values. You'll end up with a smaller set, with two values tossed out. Repeat this process (cross off the first and last items) and keep doing this until you work your way toward the very middle position. There are 19 numbers in this list, which is an odd number, this means that the middle value is in slot 10 (note how 19/2 = 9.5 which rounds to 10). We have 9 values below the median and 9 values above the median. So 9+1+9 = 19 items total.
You should find that the value 55 is at slot 9, and at the very middle. So 55 is the median. Billy marked on the box plot that the median is at 50, so this is one mistake he made. Choice C is one of the answers
Note: the median is the vertical bar inside the box of the box-and-whisker-plot.
-----------------------------
Once you have the median, break the list into two halves like so:
L = {25,25,30,30,35,35,40,45,50}
U = {60,60,60,70,85,90,95,95,105}
L is the lower set of values smaller than the median, U is the upper set of values larger than the median. Set L and set U have 9 items each. Note the median of 55 is not part of set L nor is it part of set U either.
Repeat the process to find the median, but you'll do so on sets L and U separately. The median of set L is 35, so this is the value of Q1 or the first quartile.
The left edge of the box is the visual location of Q1. We can see that Billy marked Q1 at 30, but it should be at 35. So this is another mistake he made. Choice B is one of the answers
The median of set U is 85. We have four values below 85, and four values above 85 in set U. This makes Q3 to be 85. However, Billy marked the third quartile at 80 instead of 85. This is another mistake. Choice D is one of the answers.
--------------------------------
To summarize his 3 mistakes, they are:
He misidentified Q1 (Choice B)He misidentified the median (Choice C)He misidentified Q3 (choice D)The good news is that he got the minimum correct because 25 is the smallest value. The min value is the left-most tip of the left whisker. The max is also in the correct location since 105 is the largest item. As you can probably guess, the max is located at the right-most tip of the right whisker.
See the attached image below to see how Billy should have drawn the box plot.
I need help with this math please I will give brainlist!!
Answer:
Step-by-step explanation:
WET TEDDY BEARS, GET YOUR WET TEDDY BEARS
(Liberty Mutual)
Step-by-step explanation:
Hell yes, I'll take 5 please
Answer:
Yes! Wet teddy bears are fire! I'll take 4, pls!
Step-by-step explanation:
5 divided by 3 1/3, by lowest point
Answer:
1.42
Step-by-step explanation:
Answer:
1 1/2
Step-by-step explanation:
Step 1: convert 3 1/3 to improper fraction. Use thus rule a b/c=ac+b/c. 5 divided by 3x3x+1/3
step 2: simplify 3x3 to 9 5 divided by 9+1/3
Step 3: simplify 9+1 to 10. 5 divided by 10/3
Step 4: use the rule a divided by b/c=axc/b 5x3/10
Step 5: use this rule: axb/c=ab/c 5x3/10
Step 6: simplify 5x3 to 15 so 15/10
Step 7: simplify to 3/2
Last step: Convert to a mixed fraction.. Which would leave us with 1 1/2 or 1.5 in decimal form.
Hope this helps! :)
The infield of a baseball diamond is shaped like a square. Each side is 90 feet long.
What is the area of the infield?
Answer:
8,100
Step-by-step explanation:
To get the area of a square you must multiply one length by width 90 x 90 = 8100
The area of the infield with each side 90 feet long is,
⇒ Area of the infield = 8100 feet²
What is mean by Multiplication?The multiplication means to add or sum a number to itself a particular number of times. And, The Multiplication can be viewed by a process of repeated addition.
We have to given that;
The infield of a baseball diamond is shaped like a square.
And, Each side is 90 feet long.
Hence, The area of the infield is,
⇒ Area of the infield = side²
Here, We have;
Side of infield = 90 feet
Hence, We get;
⇒ Area = 90²
⇒ Area = 90 x 90 feet²
⇒ Area = 8100 feet²
Therefore, We get the correct answer is;
The area of the infield with each side 90 feet long is,
⇒ Area of the infield = 8100 feet²
Learn more about the multiplication visit:
brainly.com/question/10873737
#SPJ2
A ball is kicked upward with an initial velocity of 56 feet per second. The ball's height h (in feet) can be expressed as a function of time t (in seconds) by the equation h = -16t2 + 56t. How much time does the ball take to reach its highest point?
1.75 seconds B) 2.50 seconds C) 2.75 seconds D) 3.50 seconds
Answer:
1.75
Step-by-step explanation:
h(t) = -16t² + 56t
h'(t) = -32t + 56
To find time at max height equate h' to 0
0 = -32t + 56
t = 56/32 = 1.75 s
It takes 1.75 s to reach max highest point
x y -28 -54 21 -40 -14 -26 What is the y-intercept of the line?
Answer:
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digkskzdk the him her i the him and plane and the him and his team and plane to Southwest Florida state university and I am a are you sleeping in summer and I will have to check gel and plane with a safe and sound the him i I I i I I I will have to Southwest airlines at a safe and secure the bookings for tiles wall deposited by the riversKim namjoon kim seokjin min yoongi....
Finish it if you are army
Also tell me what other groups you Stan I want to know lol
Answer:
JUNG HOSEOK PARK JIMIN KIM TAEHYUNG JEON JUNGKOOK BTS!!!
Step-by-step explanation:
Also, I answered about 12 hours late but oh well lol.
I don't stan any other groups beside BTS. But I do casually listen to other kpop groups ofc :)
Find the volume of the cylinder. Use 3.14 to approximate π. Round your answer to the nearest tenth.
V =
Answer:
V≈100.5
Step-by-step explanation:
V=πr2h=π·22·8≈100.53096