Answer: √3
Step-by-step explanation:
Hi, since the situation forms a right triangle we have to apply the next trigonometric function.
Sin α = opposite side / hypotenuse
Where α is the angle (30°), the hypotenuse is the longest side of the triangle (in this case 2), and the opposite side is x. (not t or 2)
Replacing with the values given:
Sin 30 = x /2
Sin 30 (2) = x
x=1
Applying the Pythagorean theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (2) and a and b are the other sides.
2^2 = t^2 + 1^2
4= t^2 +1
4-1 = t^2
3 = t^2
√3 = t
Feel free to ask for more if needed or if you did not understand something.
There were 56 females and 84 males present at the high school pep rally. Find the ratio of males to the total number of people present. Express as a simplified ratio.
Answer:
3:5 or 3/5
Step-by-step explanation:
We know that there are -->
56 Females
84 Males
We need to find the total amt. of ppl
56 + 84 = 140
Males/140 --> Plug 84 in => 84/140
Since it wants simplified, divide both by 7 as 7 is a factor of both -->
12/20 --> Divide by 4
3/5 => This is the most simplified we can get and -->
thus, our answer is 3:5 or 3/5
Hope this helps!
(Please help ) Find the value of x in the isosceles triangle shown below
Answer:
x=2
Step-by-step explanation:
Using the formula, a squared plus b squared equals c squared, we can see that 4 squared=16, so x=2.
To check our work, let's use the formula. 4 squared+2 squared=16+4=20.
What is 1x1+5 hehe lol
Clothing donations are collected to help a family in need. The function g(x) represents the number of items collected where x is the number of people who donated. Does a possible solution of (60, 10) make sense for this function? Explain your answer.
Answer:
No, it doesn't make sense because the output is not feasible.
Step-by-step explanation:
We are told that the function g(x) represents the number of items collected.
Now, we are also told that x is the number of people who donated.
Now, if we want to consider a possible solution of (60, 10) .
It means, we now have; g(60) = 10
This means that 60 people donated and 10 items were collected.
It doesn't make sense that 60 people donated items and only 10 items were available to be collected.
Thus, we can say that ;
No, it doesn't make sense because the output is not feasible.
when 5 more than 2 lots of a number is tripled the result is 10
Answer:
-5/6
Step-by-step explanation:
a number is x
then two lots will be 2 x
five more will be 2x+5
then tripled so 3(2x+5)
will equal 10
Answer: [tex]-\frac{5}{6}[/tex]
Step-by-step explanation:
3(2x+5)=10
Distribute
6x+15=10
Subtract 15
6x=-5
x = -5/6
Hope it helps <3
What is the least common denominator of the rational expressions below?
Answer:
x(x-3) ( x+4)
Step-by-step explanation:
2 5
---------- + ------------
x^2 -3x x^2 + x - 12
Factor the denominator
2 5
---------- + ------------
x(x -3) (x-3) (x+4)
The common denominator is
x(x-3) ( x+4)
Bill's school is selling tickets to a spring musical. On the first day of ticket sales the school sold
10 senior citizen tickets and 8 child tickets for a total of $170. The school took in $185 on the
second day by selling 10 senior citizen tickets and 11 child tickets. Find the price of a senior
citizen ticket and the price of a child ticket.
A) senior citizen ticket: $13, child ticket: $5 B) senior citizen ticket: $12, child ticket: $7
C) senior citizen ticket: $5, child ticket: $13 D) senior citizen ticket: $21, child ticket: $6
Answer:
A
Step-by-step explanation:
If you play around with each of the answers, you'll find that 13*10=130 (where $13 is the cost of each of 10 senior tickets) plus 5*8=40 (where $5 is the cost of each of 8 child tickets) equals $170.
Hope this helps!! <3
The price of a senior citizen and child ticket is required.
The correct option is A) senior citizen ticket: $13, child ticket: $5
System of linear equationsLet [tex]x[/tex] be the price of senior citizen ticket
[tex]y[/tex] be the price of child ticket
The equations will be
[tex]10x+8y=170[/tex]
[tex]10x+11y=185[/tex]
Subtracting the equations
[tex]-3y=-15\\\Rightarrow y=\dfrac{-15}{-3}\\\Rightarrow y=5[/tex]
Finding [tex]x[/tex]
[tex]10x+8y=170\\\Rightarrow x=\dfrac{170-8y}{10}=\dfrac{170-8\times 5}{10}\\\Rightarrow x=13[/tex]
Learn more about system of linear equations:
https://brainly.com/question/14323743
Dale is in a ski rental shop trying to decide which equipment to rent for the day. The shop offers 4 kinds of skis and 3 kinds of poles. A helmet is always a good idea, and the shop has 8 different helmets available. How many different sets of ski equipment can Dale rent? sets
Answer:
96
Step-by-step explanation:
Simply multiply all the numbers together.
4 * 3 = 12
12 * 8 = 96
There are 96 possible combinations.
If this helped, please mark brainliest :D
Answer: 12 poles and 16 helmets
Step-by-step explanation:
3+4 =8
-4= -4
1.7
What is the product of
(2x-6)(x+1)
Answer:
Hey there!
(2x-6)(x+1)
2x^2-6x+2x-6
2x^2-4x-6
Hope this helps :)
Answer:
2x^2 -4x-6
Step-by-step explanation:
(2x-6)(x+1)
FOIL
first: 2x*x = 2x^2
outer: 2x*1 = 2x
inner: -6*x = -6x
last: -6*1 = -6
Add them together
2x^2 +2x-6x-6
Combine like terms
2x^2 -4x-6
Please answer question now
Answer:
The answer is 11.
by using cosine rule we can easily get the answer of this question.
I hope it will help u....
Which describes how square S could be transformed to square S prime in two steps? Assume that the center of dilation is the origin. A.) a dilation by a scale factor of Two-fifths and then a translation of 3 units up B.) a dilation by a scale factor of Two-fifths and then a reflection across the x-axis C.) a dilation by a scale factor of Five-halves and then a translation of 3 units up D.) a dilation by a scale factor of Five-halves and then a reflection across the x-axis
Answer:
The correct option is;
A.) A dilation by a scale factor of two-fifths and then a translation of 3 units up
Step-by-step explanation:
The given information are;
Square S undergoes transformation into square S'
From the figure, the dimension of S' = 2/5 dimension of S
Therefore, the scale factor of the dilation is two-fifths
The center of dilation = The origin
Therefore, given that the top right edge of S is at the center of dilation, the initial location of the dilated figure will be (0, 0), (2, 0), (2, -2), and (0, -2)
Given that the lowermost coordinates of S' are (0, 1) and (2, 1), and the lowermost coordinates of the initial dilation are (0, -2) and (2, -2), we have that the translation to S' from the initial dilation is T (0 - 0, 1 - (-2)) = T(0, 3) which is 3 units up.
Answer:
A
Step-by-step explanation:
what is the value of x? enter your answer in the box
Answer:
[tex]\boxed{x = 45\ degrees}[/tex]
Step-by-step explanation:
x = 180 - 80 - 55 (Interior angles of a triangle add up to 180 degrees so if we need to find any unknown angle, we'll subtract all the other angles from 180)
x = 45 degrees
Answer: 45
Step-by-step explanation:
The sum of a triangle's angles will always be 180 degrees. If we subtract 80 and 55 from 180, we will get the missing angle.
[tex]180-80-55=45[/tex]
Thus, the missing angle is 45 degrees.
Help me please
I’m having so much trouble
Answer:
Step-by-step explanation:
5 * 45 = 225
225+75=300
300/500=0.6
The tank will be 60% full.
If this helped, make sure to mark it as brainliest :D
Answer:
C.60%
Step-by-step explanation:
45 x 5 = 225 225 + 75 = 300
300 / 500 = 0.6 = 60%
Q7-8 PLEASE HELP ME
Answer:
(-4,-7)
Step-by-step explanation:
Use the online graphing calculator called Desmos. That's what I did. Just input the two equations and it'll show you the completed graph. I hope this help you:)
What is the answer to 2+2 * 89 - 63 + 70
Answer:
187
Step-by-step explanation:
2*89=178
178+2=180
180-63=117
117+70=187
Answer:
47
Step-by-step explanation:
You'd have to follow PEMDAS.
First we multiply:
89*2=178.
Now we add:
178+2=180
AND
63+70=133.
Finally, we subtract:
180-133=47.
Hope this helps!! <3
11. How many kilometers is it from the main gate to Manatee Springs? (Hint: To convert from
yards to kilometers, multiply by 0.0009144). Round answer to the nearest hundredth kilometer.
Manatee Springs
Elephant
House
3,500 yds
4,200 yds
Train Depot
2,000 yds
Bird Sanctuary
Main Gate
(SHOW WORK)
Answer:
6 km
Step-by-step explanation:
Let us assume the following items
the Point at Train depot = T
The Point at Main gate = M
The Point at Bird sanctuary = B
The Point at Elephant house = E
The Point at manatee Springs = S
As we can see that there are two triangles namely TMB and TSE.
Mentioned that
MTB = ∠STE
∠TMB = ∠TSE
∠TBM = ∠TES.
According to the Angle-angle-angle (AAA similarity)
So, the triangles TMB and TSE are the same.
[tex]\frac{TM}{TS} = \frac{TB}{TE} \\\\ \frac{TM}{4,200} = \frac{2,000}{3,500}[/tex]
So, the TM is 2400 yds
Now the Distance between Main gate M and manatee Spring S is
MS = MT + TS
= 2,400 + 4200
= 6600 yds
Now the MS is
= 6600 × 0.0009144 km
= 6.035 km
≅ 6 km
WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!! Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain your reasoning.
Answer:
A graphing calculator is more accurate than graphing by hand. If the slope and/or y-intercept is a fraction or decimal, it is more difficult to accurately graph by hand.
Step-by-step explanation:
Answer:
WHEN U GRAPH WITH A CALCULATOR IT IS MUCH MORE ACCURATE
ESPECIALLY IF THERE R FRACTIONS AND DECIMALS AND THE GRAPHING CALCULATOR GOES ON FOREVER WHERE AS THE GRAPHING PAPER ENDS
Step-by-step explanation:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
In one design being considered for the containers shaped like a rectangular prism, each
container will have a height of 114 inches and length of 74 inches. What will be the within
inches, of the container?
A.3
B.4
C.14
D.15
Answer:
your answer is A 3 inches
Factor this polynomial.
-3x^2– 5x-2
Answer:
[tex]-(3x+2)(x+1)[/tex]
Step-by-step explanation:
So we have the polynomial:
[tex]-3x^2-5x-2\\=-(3x^2+5x+2)[/tex]
(I moved the negative to the outside. This is optional, but it makes things cleaner and you will have to do it eventually.)
This is a quadratic. To factor this, we need to find two numbers p and q such that:
[tex]p\cdot q=ac\\p+q=b[/tex]
From there, we can substitute these numbers in for b.
From the quadratic, a=3, b=5, and c=2. We ignore the negative sign.
In other words, ac=6 and b=5.
After guessing and checking, two numbers that work are 3 and 2 since 3(2)=6 ad 3+2=5. We substitute these values in for b. So:
[tex]-(3x^2+5x+2)\\-(3x^2+3x+2x+2)\\=-(3x(x+1)+2(x+1))\\=-(3x+2)(x+1)[/tex]
Evaluate each expression for the given values of the variables: |a−b| − |c+d| , if a=−5; b=4; c=1; d=−3
Answer:
11
Step-by-step explanation:
|a−b| − |c+d|
Let = a=−5; b=4; c=1; d=−3
|-5−4| − |1+-3|
|-9| − |-2|
Absolute values means take the non-negative value
9 + 2
11
Answer:
7
Step-by-step explanation:
| a - b | - | c + d |
Plug in the values for the variables.
| -5 - 4 | - | 1 + -3 |
Evaluate.
| - 9 | - | -2 |
Apply rule : | -a | = a
9 - 2
Subtract the numbers.
= 7
A circular track is 1000 yards in circumference. Cyclists A, B, and C start at the same place and time, and race around the track at the following rates per minute: A at 700 yards, B at 800 yards, and C at 900 yards. What is the least number of minutes it mus take for all three to be together again?
Answer:
B gains 100 yards every minute. So, after 10 minutes, B has lapped A once.
C gains 100 yards on B every minute, so after 10 minutes C has lapped B.
Thus, after 10 minutes, A has gone 7 laps, B has gone 8 laps, C has gone 9 laps, and all are even again.
Please give me the correct answer
Answer:
e=9.14
Step-by-step explanation:
e²=a²+b²-2abcosФ
e²=36+25-2(30)cos112
e=√36+25-2(30)cos112
e=9.14
helpppppp plsssssss!!!!!!! in the picture below
Answer:
266.67 feet^2.
Step-by-step explanation:
The scale is 1:40.
That means that if the scale has a width of 4 inches, the room will have a width of 4 * 40 = 160 inches. 160 / 12 = 80 / 6 = 40 / 3 feet.
The length in the model is 6 inches, so the room has a length of 6 * 40 = 240 inches. 240 / 12 = 120 / 6 = 60 / 3 = 20 feet.
The area will then be (40 / 3) * 20 = 800 / 3 = 266.67 feet^2.
Hope this helps!
need help asap use the screen shot
Answer:
7 and 37
Step-by-step explanation:
Imagine our 3rd side becoming smaller and smaller. In the ultimate case the triangle will be a flat line, and the two other lines overlap. The third line will have to be 7, to get from 15 to 22 (22-15=7).
Likewise, if the line increases and increases, again you'll endup with a flat line, but now the two otherlines will span the entire third line, so its length is the sum, i.e., 15+22 = 37
Pls answer ASAP will mark brainliest if correct
Answer:
E. 88 inches squared
Step-by-step explanation:
First we will calculate the total area(including the area of the picture):
Step 1(Finding dimensions of frame): 10+2+2=14 and 8+2+2=12
Step 2(Finding total area): 12 * 14 = 168
Now we will find the area of the picture and subtract it from the total area to get the area of the frame:
A= 8*10= 80
168 -80 =88 inches squared
Hope this helps!
Answer:
E(88)
Step-by-step explanation:
first find the area of the photograph : 8*10=80 square inches
the length of the whole frame in including the photograph is:
8+2 inches+2 inches=12 inches
the width is 10+2+2=14 inches
the area of the whole frame=12+14=168 inches square
the area of the border=168-80=88 inches square
The Greenpoint factory produced two-fifths of the Consolidated Brick Company’s bricks in 1991. If the Greenpoint factory produced 1,400 tons of bricks in 1991, what was the Consolidated Brick Company’s total output that year, in tons?
Answer:
3500 tons
Step-by-step explanation:
The Greenpoint factory produced 2/5 of the bricks that the Consolidate Brick Company produced in 1991.
Let the amount of bricks produced by the Greenpoint factory be g and the amount of bricks produced by the Consolidated brick company be c.
Therefore:
g = 2/5 * c = 2c/5
That year, the Greenpoint factory produced 1400 tons of bricks. This implies that:
1400 = 2c/5
To find the amount that the Consolidated Brick Company produced, solve for c:
1400 = 2c/5
1400 * 5 = 2c
7000 = 2c
c = 7000 / 2 = 3500 tons
The Consolidated Brick Company had a total production output of 3500 tons in 1991.
George spent $40.80 on 3 identical files and 2 identical pencil cases. Each file cost $5.40 less than a pencil case. How much did George pay for each file?
Answer:
He spent $6 on each file
Step-by-step explanation:
Hello,
To solve this question, we need to bring out our variables from the equation.
He spent $40.80 for 3 files and 2 pencil cases
Let x represent the file
Let y represent the pencil case
But the file is $5.40 less than each pencil case
x = y - 5.40.....equation (i)
40.80 = 3x + 2y .......equation (ii)
Substitute equation (i) into equation (ii)
40.80 = 3(y - 5.40) + 2y
40.80 = 3y - 16.20 + 2y
Collect like terms
40.80 + 16.20 = 3y + 2y
57 = 5y
Solve for y
y = 57 / 5
y = 11.4
The pencil case costs $11.4 each.
Put y = 11.4 into equation (i)
x = 11.4 - 5.40
x = 6.0
The file costs $6 each
Henry rented a truck for one day. There was a base fee of 15.99 , and there was an additional charge of 79 cents for each mile driven. Henry had to pay 115.58 when he returned the truck. For how many miles did he drive the truck?
Subtract base fee from total then divide by price per mile:
115.58 - 15.99 = 99.59
99.59 / 0.79 = 126.063 miles
Round the answer as needed.
Need Help Quick!!! Vanessa and William are stuck simplifying radical expressions. Vanessa has to simplify . X 3/5 over X 1/4 William has to simplify 20 square root of x times x^3 times x^4 . Using full sentences, describe how to fully simplify Vanessa and William's expressions. Describe if Vanessa and William started with equivalent expressions or if they started with expressions that are not equal.
Answer:
Yes, they started with equal expressions.
Step-by-step explanation:
To simplify Vanessa's expression, we must rationalize the denominator. This means we must make the denominator x.
We need to multiply the denominator by x^(1/6) to make a whole x; this means we must multiply the numerator by x^(1/6) as well:
Esmerelda rents a car from a company that rents cars by the hour. She has to pay an initial fee of $52 and then they charge her $8 per hour. She has $144 Available to spend on a car rental. What is the greatest number of hours for which she can rent the car?
Answer:
11 hours
Step-by-step explanation:
First, you have to subtract 144-52= 92. After the initial fee, she has 92 dollars to spend on the car. Then, you divide 92 by 8 because it costs 8 dollars an hour. And this gets you 11.5 which you would have round down because she can't pay for the extra hour. She does not have enough money.