the answers are:
b. x = sin -1 (c/b)
c. x = tan -1 (c/a)
e. x = cos -1 (c/b)
There are 50 books that are either red or blue. If 30 books are blue, what
percent of the books are RED?
A) 20%
B) 40%
C) 80%
D) 60%
Answer:
The answer is 20%
Step-by-step explanation:
20% because if there are 50 altogether and there are only 30 blue books, then there 20 more books that are red that will make the count of 50
An isosceles right triangle has a hypotenuse of length e. Select all that are true for the triangle.
Note: if the formulas don't load properly, then you may need to refresh the page.
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Explanation:
For any 45-45-90 right triangle, the hypotenuse H is always sqrt(2) times the leg L
In terms of symbols, we can say
[tex]H = L*\sqrt{2}[/tex]
We're told the hypotenuse is e, so H = e
Let's solve for L in terms of e
[tex]H = L*\sqrt{2}\\\\e = L*\sqrt{2}\\\\L*\sqrt{2} = e\\\\L = \frac{e}{\sqrt{2}}\\\\[/tex]
Now let's multiply top and bottom by [tex]\sqrt{2}[/tex] to rationalize the denominator
[tex]L = \frac{e}{\sqrt{2}}\\\\L = \frac{e\sqrt{2}}{\sqrt{2}*\sqrt{2}}\\\\L = \frac{e\sqrt{2}}{\sqrt{2*2}}\\\\L = \frac{e\sqrt{2}}{\sqrt{4}}\\\\L = \frac{e\sqrt{2}}{2}\\\\[/tex]
If the hypotenuse is e, then the length of each leg is [tex]\frac{e\sqrt{2}}{2}[/tex]
This matches with choice C, which is one of the two answers. This allows us to rule out choices A and B, as those expressions are not equivalent to the expression for choice C.
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The two legs of any right triangle form the base and height. The order doesn't matter. The base is always perpendicular to the height. In a right triangle, the two legs are always perpendicular.
The base and height are [tex]\frac{e\sqrt{2}}{2}[/tex] each.
The area of the triangle is...
[tex]\text{Area} = \frac{1}{2}*\text{base}*\text{height}\\\\\text{Area} = \frac{1}{2}*\frac{e\sqrt{2}}{2}*\frac{e\sqrt{2}}{2}\\\\\text{Area} = \frac{e\sqrt{2}*e\sqrt{2}}{2*2*2}\\\\\text{Area} = \frac{e*e\sqrt{2*2}}{2*2*2}\\\\\text{Area} = \frac{e^2\sqrt{4}}{2*2*2}\\\\\text{Area} = \frac{e^2*2}{2*2*2}\\\\\text{Area} = \frac{e^2}{2*2}\\\\\text{Area} = \frac{e^2}{4}\\\\[/tex]
This matches with choice E, which is the other answer. Choices D and F are eliminated as they are not equivalent to the expression for choice E.
The required points that are correct are the length of the leg is given as e√2/2 and the area of the triangle is given as e²/4. Options D and E are correct.
Given that,
An isosceles right triangle has a hypotenuse of length e.
In a right-angled triangle, its side, such as hypotenuse, perpendicular, and base is Pythagorean triplets.
Here,
Let the measure of the leg be x,
Apply Pythagoras' theorem,
e² = x ² + x²
e² = 2x²
x = √e²/2
x = e/√2
or
x = e√2/2
Now,?
area of the triangle is given as,
area = 1/2 × e/√2 ×e/√2
area = e² / 4
Thus, the required points that are correct are the length of the leg is given as e√2/2 and the area of the triangle is given as e²/4. Options D and E are correct.
Learn more about Pythagorean triplets here:
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5(x + 3) + 3(y + 1)
Please answer! I will mark brainliest to the person that makes more sense!!
5(x + 3) + 3(y + 1)
= 5x + 3y + 18
Write an equation in slope-intercept form for each graph shown. {Example 3)
Answer:
6) y=-1/3+5
7) y=10/8-12
Step-by-step explanation:
Find the area of the square.
2/7m
Answer:
Step-by-step explanation:
if you have one side =2/7
area = (2/7)^2=4/49 m^2
To find the area of a square, we need to know the length of one of its sides. In this case, the given length of a side is 2/7m. So, the area of the square is 4m² / 49.
To find the area, we use the formula A = s², where A represents the area and s represents the length of a side. Let's substitute the given value into the formula:
A = (2/7m)²
To square 2/7m, we multiply it by itself:
A = (2/7m) × (2/7m)
To multiply fractions, we multiply the numerators together and the denominators together:
A = (2 × 2) / (7 × 7) × m × m
Simplifying the numerator and denominator:
A = 4 / 49 × m × m
Finally, we can write the area as a fraction:
A = 4m² / 49
So, the area of the square is 4m² / 49.
To know more about area
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A salesperson receives a 2.5% commission on sales. What commission does the salesperson receive for $8000 in sales?
The commission is $___
Answer:
The commission is $200
Step-by-step explanation:
8,000 x 2.5% = 200
Please help me!!!!!!!
Answer:
vsbnnsmelr bc ycmjsddm
will someone please figure this out?
Answer:
0,3 is point saying that this is not proportional 4 6 continues the fashion of bases by the point of origin which doesnt exisist or 0,0 so that doesnt work
Step-by-step explanation:
pls answert my question too
+++ /
Cos+cos+cos+cos =
Answer:
equals
COS
Step-by-step explanation:
because cos×3=COS
What is the pattern as the exponents decrease?
O subtract 5 from the previous value
O subtract 100 from the previous value
O divide the previous value by 5
O divide the previous value by 25
Answer:
C
Step-by-step explanation:
Edge 2020
The pattern as the exponent decreases is (c) divide the previous value by 5
How to determine the pattern?The sequence on the table are given as:
125, 25, 5, 1, 1/5, 1/25......
From the above sequence, we have:
125/5 = 25
This means that the current value is gotten by dividing the previous by 5
Hence, the pattern as the exponent decreases is (c) divide the previous value by 5
Read more about exponential functions at:
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solve for x round your answer to the nearest tenth
What is the answer for -11x-11
Answer:
-11(x+1)
Step-by-step explanation:
nice picture!
oops i read question wrong lol
Select all ratios equivalent to 5:3.
4:7
6:2
60:36
Answer:
60.36
Step-by-step explanation:
Answer:
60:36 is the only equivalent ratio
in the first quadrant you start at (3,7) and move 3 units down what point will you end up with
Answer:
(3, -3)
Step-by-step explanation:
Answer:
(4,4)
Step-by-step explanation:
when you go down 3 units you just need to subtract 3 from 7
The x is the same number in all of them but what is it!!
Step-by-step explanation: basically its 6 + 1 = 7x
6 - 14 = 8x 9 + 4 = 13x
Answer: x = 9
Explanation: In this problem, we're given a triangle and information
about each of its angles and we're asked to find the value of x.
The measures of the angle of a triangle always add to 180 degrees.
So we can setup the equation 6x + 1 + 9x + 4 + 6x - 14 = 180.
Simplifying on the left side, we have 21x - 9 = 180.
Adding 9 to both sides, we have 21x = 189.
Now divide both sides by 21 to get x = 9.
The width, y, of a rectangle with a fixed area varies inversely with its length, x. The width is 3 inches when the length is 14 inches. Find the width when the length is 30 inches.
Answer:
[tex]y = 1.4[/tex]
Step-by-step explanation:
Given
[tex]y = width[/tex]
[tex]x = length[/tex]
[tex]y = 3;\ when\ x = 14[/tex]
Required
Find y when x = 30
Being an inverse variation, we have:
[tex]y\ \alpha\ \frac{1}{x}[/tex]
Convert the variation to an equation
[tex]y = \frac{k}{x}[/tex]
First, we solve for k
Make k the subject to solve for k
[tex]k = xy[/tex]
[tex]y = 3;\ when\ x = 14[/tex]
So, the value of k is:
[tex]k = 14 * 3[/tex]
[tex]k = 42[/tex]
To solve for y when x = 30
Substitute 30 for x and 42 for k in [tex]k = xy[/tex]
[tex]42 = 30 * y[/tex]
Make y the subject
[tex]y = \frac{42}{30}[/tex]
[tex]y = 1.4[/tex]
The width of the rectangle would be as follows:
[tex]1.4[/tex] inches
Inverse ProportionInverse proportion occurs when one value increases and the other decreases.
The width, [tex]y[/tex], of a rectangle with a fixed area varies inversely with its length, [tex]x[/tex].
So, [tex]y=\frac{k}{x}[/tex] where [tex]k[/tex] is the constant.
The width is [tex]3[/tex] inches when the length is [tex]14[/tex] inches.
So,
[tex]3=\frac{k}{14} \\k=42y=\frac{42}{x}\\Put x=30[/tex]
Therefore, [tex]y=\frac{42}{30}=1.4[/tex] inches
Thus, Width is [tex]\boldsymbol{1.4}[/tex] inches when the length is [tex]30[/tex] inches.
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A rectangle has a length of x and a width of 5x cubed+4-x squared. Find the perimeter of the rectangle when the length is 5 feet
Answer:
1060 feet
Step-by-step explanation:
The computation of the perimeter of the rectangle is as follows;
As we know that
Perimeter of the rectangle = 2 × ( length + width)
where
Length of x = 5
And, the width be 5x^3 - 4x^2
= 5(5)^3 - 4(5)^2
= 625 - 100
= 525
Now the perimter is
= 2 × (5 + 525)
= 1060 feet
Mary spent a total of $320.92 for a party. She spent $200.20 on food, plus an additional $30.18 for each hour of the party. How long was the party? Write an equation first!
Answer:
4.006627
Step-by-step explanation:
What is the difference in average speed between two cars, one that traveled 160 kilometers in 5 hours, and the other that traveled 140 kilometers in the same time? Record and bubble your answer below.
Answer:
The difference in average speed between two cars, one that traveled 160 kilometers in 5 hours, and the other that traveled 140 kilometers in the same time is:
2 km/h.
Step-by-step explanation:
a) Data and Calculations:
Let A = first car and B = second car
Distance traveled by first car = 160 kilometers (km)
Distance traveled by second car = 140 kilometers
Time taken by each car = 5 hours
Speed of A = 160/5 = 32 km/h
Speed of B = 150/5 = 30 km/h
Difference in speed = 2 km/h (32 - 30)
b) The average speed of a car is given by the distance traveled divided by the time taken to travel the distance. The speed here is expressed in kilometers per hour (km/h). It can also be expressed in meters per hour or second, etc.
Answer:
4
Step-by-step explanation:
The drama club was selling tickets
to the school play. Adult tickets
cost $8.00 each, and student
tickets cost $5.00 each. The little
theater holds 142 people and was
sold out for both Friday and
Saturday. The total sales for the
two days was $1,948.00.
1. How many adult tickets were
sold out over the two days?
2. How many student tickets were
sold out over the two days?
Answer:
108 student tickets, and 176 adult tickets were sold
Step-by-step explanation:
Adult ticket $8 Call the number of adult tickets sold "a"
Student ticket $5 Call the number of student tickets sold "s"
Since we are talking about TWO consecutive days of sold out seats, the total number of seats sold were 2* 142 = 284
Then we create two different equations with the information given:
a + s = 284
8 * a + 5 * s = 1948
we can solve for s in the first equation as follows: s = 284 - a
and use it in the second equation
8 a + 5 (284 - a) = 1948
8 a + 1420 - 5 a = 1948
combining
3 a = 528
a = 528/3
a = 176
we find the number of student tickets using this answer in the substitution equation we used:
s - 284 - 176 = 108
Therefore 108 student tickets, and 176 adult tickets were sold.
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease per unit of x, to the nearest tenth of a percent. Y 1600(1.46) Growth % increase Submit Anwar
Answer:
For any exponential function in which the base is less than 1, it will be an exponential decay situation. In this problem, the base is 0.97. The amount that the base is less than 1 ( i.e. 1 - base) represents, in decimal form, the percent of decrease, which in this case is 0.03 or 3%.
Step-by-step explanation:
The formula for exponential decay is y=a(1-r)x.
r is the decay rate.
The drama club is selling 1/8 pound of chocolate for Valentine's Day. They have 75 orders and only 3 pounds of chocolate. How much more pounds of chocolate will they need to complete the orders?
Answer:
I'm not sure if you're looking for an approximation or the exact amount, so I'll give you both. The drama club would need exactly 9.375 lbs of chocolate for the 75 orders, or 6.375 more lbs. If we round that up to the nearest pound, the club would need 10 lbs of chocolate to cover the 75 orders, with some left over. So, they would need 7 lbs more.
The value of pi cannot be written as the ratio of two integers. Which statement is true?
PLS HELp
Answer:
pi is irrational
if I remember correctly it's irrational
Determine 10% of 300.
Answer:
30
Step-by-step explanation:
Answer: 30
Step-by-step explanation:
First responder in under 2 minutes gets brainly
Answer:
C
Step-by-step explanation:
The x's can not completely cancel each other out so they are still included but you have to divide the numbers, exponents and whole numbers.
Answer:
first one
Step-by-step explanation:
Solve For Z MUST SHOW WORK!!!
42 = -7 ( Z - 3 )
THX!!!!
Answer:
The answer is -3
Step-by-step explanation:
1. Distribute -7z + 21 = 42
2. Subtract 42 - 21 = 21
3. -7z = 21
4. Divide 21 / -7 = -3
5. Answer is -3
The vertices of a right triangle are located at (-2,-3), (5,7), and (5,"3). What is the approximate length of the triangle's hypotenuse?
A
7 units
B
10 units
C
12 units
D
17 units
1.
Sharmila recorded the number of pages she read every 5 minutes while reading a novel. Her data is shown in the table below.
Answer:
bit late but Sharmila read 8 pages every 5 minutes.
Step-by-step explanation:
let's take a look at the first time on the chart. 15 minutes. 15/5=3. 3x8=24. this works with the rest of the numbers too.
Find 131.2% of 477. Round to the nearest tenth.
131.2(477)=62,582.4 is the answer you're looking for
Joe decided that he would spend no more than $60 to buy some shirts. If the price of one shirt is $9, then how many shirts can he buy?
Solve using inequalities
Answer:
6 shirts
Step-by-step explanation:
because if each shirt is 9 dollars and you have 60 dollars then take 60 divided by 9 and that is how many shirts you can get
