Determine the value of x.
Question 9 options:
A)
2
B)
2
C)
D)
4
Answer:
2√2 = x
Step-by-step explanation:
x
---- = sin 45 degrees, or
4
x 1
----- = -----
4 √2
this results in x = 4 / √2 = 4√2/2 = 2√2 = x
The value of the variable 'x' will be 2√2 units. Then the correct option is C.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The two triangular legs and their opposing angles are congruent in an isosceles triangle.
The triangle is an isosceles right-angle triangle. Then by the Pythagoras theorem, we have
4² = x² + x²
2x² = 16
x² = 8
x = 2√2
The value of the variable 'x' will be 2√2 units. Then the correct option is C.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ2
Three consecutive integers have a sum of 87. Find the integers.
Answer:
28, 29, and 30
Step-by-step explanation:
There's probably better ways but you can estimate by knowing 30*3=90 so it should be somewhere pretty close to 30. Guess and check with basic calculations to get 28, 29, and 30.
1. At the school bookstore, a pencil costs 25c, a notebook costs $1.75, and a piece of graph paper costs 5c.
Which formula below could be used to determine the total cost c, in cents, of purchasing p pencils, n
notebooks, and g pieces of graph paper?
A. c = 25p + 1.75n +5g
B. c = 25p + 175n +59
C. c = 0.25p + 1.75n + 0.05g
D. c = 0.25p + 1.75n + 0.5g
Answer:
I think its C. I hope this helps.
A recipe for homemade clay calls for 6 cups of water for every 12 cups. How many cups of water are needed when 4 cups of flour are used ?
Answer:
2 cups of clay
Step-by-step explanation:
Given data
we are given that 6 cups of water for every 12 cups of clay
i.e
12 cups of clay require 6 cups of water
4 cups of clay will require x cups of water
cross multiply
12x= 4*6
12x= 24
divide both sides by 12
x= 24/12
x= 2cups
Hence 4 cups of water will require 2 cups of clay
To what percent should the taxes for dog groomer be rounded in order to make reasonable estimates?
0%
5%
10%
20%
How much money does an Construction worker get in hour?
Answer:
$18
Step-by-step explanation:
7 times as much as 1/3 and 4/5
Answer:
3.13333333333
Step-by-step explanation:
It is a recurring so u could write it as 3.13 with a dot on top of the last three hope it helps :D
hii please help i’ll give brainliest
Answer:
3rd one
Step-by-step explanation:
well it would make sense if you said that the longest fish is 12in longer than the shortest because if you took 21in (the longest fish) and subtracted 9 (the shortest fish) you would get 12.
hope that helped please give brainliest.
Find the volume of this triangular prism. NO LINKS
Answer:
306 [tex]ft^{2}[/tex]
Step-by-step explanation:
Formula for triangle: bh/2
2 (8*9/2) = 72
Formula for rectange: bh
8*9 = 72
2(9*9) = 162
Add: 72 + 72 + 162 = 306
M
135°
Angle JKL is a straight angle.
The measure of angle JKM is 135º.
The measure of angle MKL is xº.
What is the value of x
Answer: 45
Step-by-step explanation:
Hello there!
So this problem looks a lot more complex than it really is. First, we need to know that a straight line is 180 degrees. Since both of these angles must add up to 180, we just subtract 135 from 180. We then get 45.
Hope this helped! :D
Sorry if any information was incorrect or if i didn’t understand what you were asking. Just comment and I will reply back ready to help!
MATH HELP
Ben received 1 mark for every correct answer on a
multiple-choice test.
He answered 75 questions correctly out of a total
of 135 questions.
On the test, 55% is a pass. Did Ben pass the test?
Give reasons for your answer.
Answer:
yes
Step-by-step explanation:
75 out of 135 is 55.6%
somebody please help me with this question and no links!
Answer:
x = 14°
Step-by-step explanation:
4x + 2x + 6 = 90
6x + 6 = 90
subtract 6 from both sides
6x = 84
divide by 6 on both sides
x = 14°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
can someone please help me and write out the answer
9514 1404 393
Answer:
-30°
or 330° or -150° or 210°
Step-by-step explanation:
The angle whose sine is 1/2 is 30°. Here, the sine is negative, indicating the angle is in the 3rd or 4th quadrants.
The angles in those quadrants with a reference angle of 30° are -30° or -150°. As positive angles, these are 330° or 210°, respectively.
Generally, the sin⁻¹ function (also called the arcsin function) is defined to have a range of -90° to +90°. Within that range, we can say ...
sin⁻¹(-1/2) = -30°
_____
Additional comment
There are a few trig functions it is worthwhile to remember. These are shown in the attachment. The ordered pair points on the unit circle are (cos(θ), sin(θ)). If you remember the values of these in the first quadrant for 30°, 45°, and 60°, then you can work most of these "without a calculator" problems. (You also need to know how the signs change in the different quadrants.)
Answer:
210 degrees
Step-by-step explanation:
This is the 'arcsin' or 'inverse sine' function. As written,
arcsin (-1/2) is requesting the angle (in degrees) whose sine is -1/2.
Note that because the sine function is defined as (opposite side)/hypotenuse, the following equation is true:
-1 opposite
------ = ------------------- = sin x, where x is an angle in degrees.
2 hypotenuse
If the sine is negative, that means that the angle x lies in either Quadrant III or Quadrant IV. We see that the magnitude of the opposite side is HALF the magnitude of the hypotenuse.
Cycling counterclockwise from the positive x axis, and continuing through Quadrant II into Quadrant III, we get a ray (hypotenuse) that is twice the length of the opposite side. The angle of this ray as measured from the positive x-axis is 180 degrees plus 30 degrees, or 210 degrees.
You can check this by finding sin 210° on a calculator; the result is -1/2, which is what we were given up front.
Cloe Dow purchased a hot tub for $5,000. She made a 50 percent down
payment and financed the remainder. What amount did she finance?
Answer:
She financed $2500
Step-by-step explanation:
If you multiply $5000 by 50% you will be $2500. This would be the amount she financed. Hope this helps
What is the salesperson's commission on a $900
sale if the commission rate is 25%?
Answer:
Amount of commission earned = $225
Step-by-step explanation:
Commission rate = 25%
Sales amount = $900
Find the amount of commission earned by the salesperson
Amount of commission earned = Commission rate × Sales amount
= 25% × $900
= 25/100 × $900
= 0.25 × $900
= $225
Amount of commission earned = $225
What is the product of x(x + 1)?
Answer:
The product of x(x + 1) is x² + x
Step-by-step explanation:
x(x + 1)
x × x + x × 1
x² + x
Thus, The product of x(x + 1) is x² + x
-TheUnknownScientist
Please help with this questions. I’ve waisted over 100 points trying to get answers for one assignment just because the only people answering are giving me links. I’m not gonna ask for no links because I learned from experience, it doesn’t work. Please just help me so I can finish. And if you put these links, your honestly a really mean person.
Explain how you can find the side length of a rectangular prism if you are given the volume and the 2 other measurements. Does this process change if one of the measurements is a fraction?
Answer:
The volume of a rectangular prism can be calculated by the formula:
Volume of a rectangular prism = length * width * heightIf the exercise give us the volume and the two other measurements (width and height), we must simplify the length from the formula showed (remember when a value is multiplying in a side to the equal sign, go to the other side to divide):
(Volume of a rectangular prism) / (width * height) = lengthOr, in other form:
[tex]length=\frac{volume}{width*height}[/tex]At last, the proccess change only a little if one is a fraction, in that case, you should just multiply or divide with that fraction.
Step-by-step explanation:
We're gonna take measurements for the volume, width and height to solve a hypothetical exercise:
Volume = 240 [tex]in^{3}[/tex]Width = 4 inHeight = 12 inWe use the formula in the answer:
[tex]length=\frac{volume}{width*height}[/tex]Replacing the data we obtain:
[tex]length=\frac{240in^{3} }{4 in *12in }[/tex][tex]length=\frac{240in^{3} }{48in^{2} }[/tex][tex]length=[/tex] 5 inchesNow, we're gonna make the a hypothetical exercise where a measurement is a fraction, we can select anyone, in this case will be the width:
Volume = 48 [tex]in^{3}[/tex]Width = 8/3 inHeight = 6 inWe use the same formula and replace again:
[tex]length=\frac{volume}{width*height}[/tex]
[tex]length=\frac{48in^{3} }{\frac{8}{3}in *6 in}[/tex][tex]length=\frac{48in^{3} }{16in^{2} }[/tex][tex]length=[/tex] 3 inchesAs you can see, the process does't change much using fractions, you must only know the correct form to operate these.
What is the answer??
Answer: .41+.34=.75
Step-by-step explanation:
Expand and simplify -3(x - 2) + 8(2x + 1)
Answer:
13x + 14
Step-by-step explanation:
-3(x - 2) + 8(2x + 1)
= -3x + 6 + 16x + 8
= 13x + 14
Select the correct answer.
What is the factored form of this expression?
X + 9x + 16
OA. The expression cannot be factored.
OB. (x+3)2
O c. (x-4)(x + 4)
OD. (x+4)2
HELP PLZZ
Answer:
The expression cannot be factored
Step-by-step explanation:
got it correct
Let's compare two different raffles to see which ticket you should buy? A. Raffle 1: 800 raffle tickets are sold $2.00 each. There is one gran prize for $450 and two consolation prizes of $100 each that will be awarded. What is the expected value of one ticket? B. Raffle 2: 350 raffle tickets are sold for $2.00 each. There is one grand prize of $150 and three consolation prizes of $50 each. What is the expected value of one ticket?
Answer:
(a) The expected value is: $0.40625
(b) The expected value is: $0.4286
Step-by-step explanation:
Solving (a): Raffle 1
Given
[tex]Tickets=800[/tex]
[tex]Value = \$2[/tex] per ticket
[tex]Grand\ Prize = \$450[/tex] ---- for 1
[tex]Consolation = \$100[/tex] --- for 2
Required
The expected value of each ticket
First, calculate the total amount of the 800 tickets
[tex]Amount = Tickets * Value[/tex]
[tex]A_1 = 800 * \$2[/tex]
[tex]A_1 = \$1600[/tex]
Next, calculate the total amount of the prizes
[tex]Amount = Tickets * Value[/tex]
[tex]A_2 = \$450 * 1 +\$100 * 2[/tex]
[tex]A_2 = \$450 +\$200[/tex]
[tex]A_2 = \$650[/tex]
The expected value E(x) of 1 ticket is calculated as:
[tex]E(x) = \frac{A_2}{A_1}[/tex]
[tex]E(x) = \frac{\$650}{\$1600}[/tex]
[tex]E(x) = \$0.40625[/tex]
Solving (b): Raffle 2
Given
[tex]Tickets=350[/tex]
[tex]Value = \$2[/tex] per ticket
[tex]Grand\ Prize = \$150[/tex] ---- for 1
[tex]Consolation = \$50[/tex] --- for 3
Required
The expected value of each ticket
First, calculate the total amount of the 800 tickets
[tex]Amount = Tickets * Value[/tex]
[tex]A_1 = 350 * \$2[/tex]
[tex]A_1 = \$700[/tex]
Next, calculate the total amount of the prizes
[tex]Amount = Tickets * Value[/tex]
[tex]A_2 = \$150 * 1 +\$50 * 3[/tex]
[tex]A_2 = \$150 +\$150[/tex]
[tex]A_2 = \$300[/tex]
The expected value E(x) of 1 ticket is calculated as:
[tex]E(x) = \frac{A_2}{A_1}[/tex]
[tex]E(x) = \frac{\$300}{\$700}[/tex]
[tex]E(x) = \$0.4286[/tex]
Mr. Meyer is planning a sixth-grade field trip to Washington DC. He divides his students evenly between 9 chaperones will lead a group of 8 students. If S represents the total number of students going on the field trip with equation models the problem?
A. 8s = 9
Or
B. s/9 =8
I think there is 72 students because there is 9 chaperones with groups of 8 so that is 9x8 which is 72
Hope this helps answer some questions that you may have had.
Classify the pair of angles.
34°
O complementary
O supplementary
o vertical
Find the value of x.
x=
Answer:
supplementary
x = 146 degrees
Step-by-step explanation:
Answer:
supplementary
Step-by-step explanation:
Find the area of the figure. The area is square inches.
please help!
Answer:
154 inchs
Step-by-step explanation:
22 * 14 divided by 2
Please help me??? like im in serious need of help!
Answer:
16 square miles
Step-by-step explanation:
Hope this helped <3
Complete the following statement
with the correct number.
The sum of the three angles of
any triangle is [?]
Enter
Answer:
180°
Step-by-step explanation:
According to Angle sum property of a triangle , sum of all the three angles of a triangle equals to 180°
30 points! Numbers n, m, and k are natural numbers. Express as powers:
#1: 4^n*4^5
#2: 3^8*3^n
#3: 2^2n/2^n
#4: 2^3n/2^2n
Pictures of each question will also be attached.
The powers in this problem are expressed as follows:
1. 4^n x 4^5 = 4^(n + 5).
2. 3^8 x 3^n = 3^(8 + n).
3. 2^(2n)/2^n = 2^n
4. 2^(3n)/2^(2n) = 2^n
Exponents and multiplicationWhen two terms with the same base and different exponents are multiplied, we keep the base and add the exponents to find the product.
In the context of this problem, this is what we use for items 1 and 2, as follows:
1. 4^n x 4^5 = 4^(n + 5). -> Base 4, exponents n and 5, n + 5 = n + 5.
2. 3^8 x 3^n = 3^(8 + n). -> Base 3, exponents 8 and n, 8 + n = 8 + n.
Exponents and divisionWhen two terms with the same base and different exponents are divided, we keep the base and subtract the exponents to find the quotient.
In the context of this problem, this is what we use for items 3 and 4, as follows:
3. 2^(2n)/2^n = 2^n -> Base 2, exponents 2n and n, 2n - n = n.
4. 2^(3n)/2^(2n) = 2^n -> Base 2, exponents 3n and 2n, 3n - 2n = n.
More can be learned about exponential rules at https://brainly.com/question/11761858
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3-2x-x^2=y Given x = 2
A chocolate bar says that a
serving size is 1/3 of the bar. How
many servings are in six bars of
chocolate?
Answer:
6/18 or 3/9 they are the same!
Hope this helps! Brainliest thanks!