Answer: B
Step-by-step explanation:
We are given that a 45-45-90 triangle has a hypotenuse of [tex]7\sqrt{2}[/tex].
In a 45-45-90 triangle, the legs are congruent. Therefore we can use the Pythagorean Theorem to solve.
[tex]a^2+a^2=(7\sqrt{2})^{2}[/tex] [combine like terms]
[tex]2a^2=(7\sqrt{2})^2[/tex] [square root both sides]
[tex]a\sqrt{2} =7\sqrt{2}[/tex] [divide both sides by root 2]
[tex]a=7[/tex]
Now, we know that a leg is length 7, which is B.
[tex]\boxed{\text{Solve for 'x'.}}\\\\\frac{x+3}{6}=\frac{2}{3}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = 1[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the answer...}}\\\\\frac{x+3}{6}=\frac{2}{3}\\\----------\\\rightarrow (\frac{x+3}{6})6=(\frac{2}{3})6\\\\\rightarrow x + 3 = 4\\\\\rightarrow x + 3 - 3 = 4 - 3\\\\\rightarrow \boxed{x=1}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
x = 1
Step-by-step explanation:
( x + 3 ) / 6 = 2 / 3
Step 1 Cross multiply
( x + 3 ) * 3 = 3x + 9
2 * 6 = 12
We now have 3x + 9 = 12
Step 2 Subtract 9 from both sides
3x + 9 - 9 = 12 - 9
9 - 9 cancels out
12 - 9 = 3
We now have 3x = 3
Final step; divide both sides by 3
3x/3 = x
3/3 = 1
We're left with x = 1
To check our answer we can plug in 1 for x in the expression
( x + 3 ) / 6 = 2 / 3
Substitute 1 for x
1 + 3 / 6 = 2 / 3
Simplify addition
4/6 = 2/3
Simplify fraction
2/3 = 2/3 ✓
Three fourths of the offspring of two fruit flies have short wings, while the rest have wild-type wings . In a batch of offspring from those two flies, 100 have wild-type wings. How many of the flies have short wings?
Answer:
300
Step-by-step explanation:
If three-fourths of the offspring of two fruit flies have short wings and the rest have wild-type wings, then [tex]1-\frac{3}{4}=\frac{1}{4}[/tex] of the offspring must have wild-type wings. This means that the number of offspring that have short wings must be [tex]\frac{3/4}{1/4}=\frac{3}{4}\cdot \frac{4}{1}=3[/tex] times larger than the number of offspring that have wild-type wings. Since there are 100 offspring who have wild-type wings, there must be [tex]100\cdot 3=\boxed{300}[/tex] that have short wings.
Alternative:
If three-fourths of the offspring of two fruit flies have short wings and the rest have wild-type wings, then [tex]1-\frac{3}{4}=\frac{1}{4}[/tex] of the offspring must have wild-type wings. Therefore, 100 represents one-fourth of the total number of offspring, meaning there must be [tex]100\cdot 4=400[/tex] offspring total. Thus, there are [tex]400-100=\boxed{300}[/tex] offspring with short wings.
If I worked 8 hours and 49 minutes but my paycheck was only 97.17$ what was my hourly wage.
Answer:
11.021$
Step-by-step explanation:
49min to hr=49/60=0.816
now total worked hrs =8hr +0.816hr=8.166hr
now 1hr wage =97.17$/total hr(8.166)=11.021$
mA = (4x - 2) and mzB = (11x + 17)°. Find x if the angles are
supplementary
A.) 165
B.) 180
C.) 15
D.) 11
Instructions: Find the missing side. Round your answer to the nearest tenth.
53 and 10
Answer:
8
Step-by-step explanation:
10sin(53) = 7.986... = 8.0
Lucy rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 10.
Answer:
10÷5 = 2, 2+2 =4, answer is 4
Find z, the total impedance, of each circuit. Express your answer in standard form
Answer:
a. 7 Ω
b. 5 Ω
c. 4.472 Ω
Step-by-step explanation:
a. Since we have two resistors in with resistances R = 4Ω and R' = 3 Ω in series, the total impedance z of the circuit is the sum of the individual resistances.
So, z = R + R' = 4 Ω + 3Ω = 7 Ω
b. Since we have a resistor of resistance R = 4Ω in series with an inductor of reactance X = 3 Ω, the total impedance is z = √(R² + X²)
z = √((4 Ω)² + (3 Ω)²)
z = √(16 Ω² + 9 Ω²)
z = √(25 Ω²)
z = 5 Ω
c. Since we have a resistor of resistance R = 4Ω in series with an inductor of reactance X = 3 Ω, and a capacitor of reactance, X' = 1 Ω the total impedance is z = √[R² + (X - X')²]
z = √((4 Ω)² + (3 Ω - 1 Ω)²)
z = √(16 Ω² + (2 Ω)²)
z = √(16 Ω² + 4 Ω²)
z = √(20 Ω²)
z = √(4 × 5) Ω
z = √4 × √5 Ω
z = 2√5 Ω
z = 4.472 Ω
How do u find the area of a kite using coordinates?
Answer:
What is the area of a kite equal to? The area of a kite measures the space inside the four sides. The most common way to find the area is by using the formula A = xy/2, where x and y are the lengths of the diagonals.
Where should you place the needle of your compass in the first step of an angle bisection?
Answer:
Place the compass needle on the vertex of the angle, and draw an arc across both legs of the angle.
Help Please Math!!!
Find The Surface Area Of The Prism
Answer:
Surface Area=208 cm²
Step-by-step explanation:
Surface Area= 2×l×w+2×l×h+2×h×w
SA= 2×11×4+2×4×4+2×11×4=208
A researcher asked 36 tourists which Caribbean island was their favourite The results showed that 9 tourists said Tobago. The researcher wants to draw a pie chart to show this information What should the angle for the Tobago segment measure?
A. 9 degree
B. 14 degree
C.25 degree
D. 90 degree
The Raptors are scheduled to play 85 games this season.
a. Create a table of values that will show some of the possible amounts Stretch might eam
throughout the first season. Number of games played is represented by n and money
earned by E.
b. Graph the information to show his earnings for the season. Use a suitable scale. Change
the money values in your table to millions of dollars before starting.
C. D) Write an equation relating Stretch's earnings to the number of games he plays.
ii) Define your variables, including units.
II) Explain what the numbers in your equation represent for Stretch.
d. How much money will Stretch make if he plays 44 games this season? Show your work.
e. Stretch's twin brother, Rory, has been offered a different contract. The following equation
defines the offer. E = 95 000n + 450 000
E represents Rory's total earnings in dollars and n represents the number of games Rory
plays. Is this a better offer than Stretch's? Give reasons for your answer by comparing the
two offers, reporting mathematical details about the comparison.
Answer:
How do you expect me to do all of that lol
Step-by-step explanation:
Z -7, when z=6 PLS HELP MY I AM NOT SURE IF I DID IT RIGHT I HAVE TO TURN THIS IN TOMORROW
Answer:
Z-7
6-7
-1
Step-by-step explanation:
we have to replace the value of Z and then subtract by seven.
[tex]\sf \: z = 6 \\ \\\sf z - 7 \\ \sf = (6) - 7 \\ \sf = 6 - 7 \\ = \underline{\bf - 1}[/tex]
-> Just substitute the value of z in the equation & you'll get the required solution.
first answer gets marked brainliest!!!
Answer:
A
Step-by-step explanation:
plz give brainliest
Help anyone can help me do this question,I will mark brainlest.
Answer:
34 pi
Step-by-step explanation:
Use formula for circumference, 2 pi r
Find the circumference for both circles because both circles circumference are included in the shaded region
2x^2-3x+2=x√(3x^2-2)
I need answers asappppp plz
Answer:
Step-by-step explanation:
find the difference between of the greatest and smallest 5 digit number
Answer:
Step-by-step explanation:
The largest 5-digit number is 99999 and the smallest 5-digit number is 10000. If it was mentioned that the largest unique 5-digit number then it would have been 98765 and the smallest 5-digit number would have been 10234.
Hope this answer helps you :)
Have a great day
Mark brainliest
If Sunil earns $3672 per month, what is his annual salary?
Answer:
$44064
Step-by-step explanation:
Sunil earns $3672 every month. To find out his annual salary, we will need to multiply this monthly salary by the number of months in a year; 12.
3672 * 12 = $44064
Explain how to know when to use mean, median, or mode as a measure of
central tendency. For each measure, give an example of a situation where the
center should be used.
Answer:
Step-by-step explanation:
Mean
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Median
Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2.
Mode
To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.
10 million= ___ million
Answer:
10
Step-by-step explanation:
Bella has joined a new gym in town. The cost of membership is $25 per month. The after-hours policy at the gym allows her to work out late at night for an extra fee of $4 per visit. If Bella's first monthly bill totaled $53, which equation can be used to determine how many times Bella worked out after hours?
Answer:
So, we get
$25+4n = $53 is the required equation.
Therefore, $25+4n = $53 equation can be used to determine how many times Bella worked out after hours.
Step-by-step explanation:
The total monthly bill of the gym = $53
The cost of membership of a month = $25
Let 'n' be extra the number of hours Bella worked on.
The cost for working on extra hours = $4
So, we have to determine the equation, Bella worked out after hours.
We will determine the equation by:
(Monthly cost of membership) + ( cost for extra hours number of hours extra worked on ) = Total monthly bill received
Currently, Mike is 8 years more than twice Tom's age. In 3 years from now,
Mike's age
will be three times Tom's age. What are their current ages?
Answer:
The current age of Mike is 12 years old while that of Tom is 2 years old.
Step-by-step explanation:
Let the current age of Mike be m years old and that of Tom be t years old.
Currently
m= 2t +8
3 years from now
Tom's age= t +3
Mike's age
= m +3
= 2t +8 +3
= 2t +11
Given that in three years, Mike's age is 3 times Tom's age,
2t +11= 3(t +3)
Expand:
2t +11= 3t +9
3t -2t= 11 -9
t= 2
Current age of Mike
= 2t +8
= 2(2) +8
= 4 +8
= 12
What is the remainder when (x^3 + 1) is divided by (x^2 – x + 1)?
O x +1
Ο x
O 2
Ο 0
Answer:
The answer is 0 .... solution is X+1 the REMAINDER IS 0
Step-by-step explanation:
The remainder when (x³ + 1) is divided by (x² - x + 1) is 0.
The correct option is D.
What is a polynomial?An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
We can use polynomial long division to find the remainder of (x³ + 1) divided by (x² - x + 1):
x + 1
-------------
x² - x + 1 | x³ + 0x² + 0x + 1
- (x³ - x² + x)
---------------
x² - x + 1
- (x² - x + 1)
-------------
0
Therefore, the remainder when (x³ + 1) is divided by (x² - x + 1) is 0.
To learn more about Polynomials;
brainly.com/question/11536910
#SPJ7
Tom wants to borrow $16,578 for a car. The bank is going to charge him 12% interest annually, compounded monthly. If his car payment is $345.00 a month. How much will he owe at the end of 4 months? (Take this one month at a time. Determine the interest for the month; add it to the principal. Then subtract the payment, and that is your new principal for the next month.)
Answer:
Step-by-step explanation:
Principal, P = $16,578
Interest rate, r = 12% = 0.12
Monthly interest rate = annual interest rate / 12
= 12%/12
= 1%
= 0.01
Time, t = 1 year
Number of period, n = 12
Car payment per month = $345.00
Month 1:
A = P(1 + r/n)^nt
A = 16,578(1 + 0.01/12)^(12)(1)
A = 16,578(1 + 0.000833333)^(12)
= 16578(1.000833333)^12
= 16578(1.0100459608871)
A = $16,744.54
Principal after month 1 repayment = $16,744.54 - $345
= $16,399.54
Month 2:
A = P(1 + r/n)^nt
= $16,399.54(1 + 0.01/12)^(12)(1)
= 16,399.54(1 + 0.000833333)^(12)
= 16,399.54(1.000833333)^12
= 16399.54(1.0100459608871)
= 16,564.289137406431934
= $16,564.29
Principal after month 2 repayment = $16,564.29 - $345
= $16,219.29
Month 3:
A = P(1 + r/n)^nt
= $16,219.29(1 + 0.01/12)^(12)(1)
= 16,219.29(1 + 0.000833333)^(12)
= 16,219.29(1.000833333)^12
= 16219.29(1.0100459608871)
= 16382.228352956532159
= $16,382.23
Principal after month 3 repayment = $16,382.23 - $345
= $16,037.23
Month 4:
A = P(1 + r/n)^nt
= $16,037.23(1 + 0.01/12)^(12)(1)
= 16,037.23(1 + 0.000833333)^(12)
= 16,037.23(1.000833333)^12
= 16037.23(1.0100459608871)
= 16198.339385317426733
= $16,198.34
Principal after month 4 repayment = $16,198.34 - $345
= $15,853.34
The graph of a quadratic function
displays output values that approach
negative infinity. What do you know
about the leading coefficient of this
function?
A
The leading coefficient is negative.
B
The leading coefficient is positive.
Answer:
A
The leading coefficient is negative.
Step-by-step explanation:
Quadratic equation:
A quadratic equation has the following format:
[tex]y = ax^2 + bx + c[/tex]
The leading coefficient is a.
a negative:
The graph of the function is concave down, that is, it displays values that approach negative infinity.
a positive:
The graph of the function is concave up, that is, it displays values that approach up infinity.
In this question:
Displays values that approach negative infinity, so the leading coefficient is negative, and the correct answer is given by option A.
Answer:
B it's positive.. I went with negative because that's what it said, but it was wrong!
Step-by-step explanation:
Given JIH~ LMN. what is the value of LN?
Answer:
7 units
Step-by-step explanation:
In similar triangles, corresponding sides are same ratio.
[tex]\frac{LN}{JH}=\frac{LM}{JI}\\\\\frac{LN}{14}=\frac{5}{10}\\\\LN=\frac{5}{10}*14\\\\LN=7[/tex]
plzzz helppp will mark brainlest stpps plzz if possible
Answer:
c.
Step-by-step explanation:
Law of sines
[tex]\frac{Sin A}{a}[/tex] = [tex]\frac{Sin B}{b}[/tex]
A and B are angles.
a and b are sides opposite corresponding angles.
Help me pls‼️‼️‼️❤️❤️
Answer:
= 50%
Step-by-step explanation:
There is one point, random number = 1
There are two circles, sample space = 2
[tex]{ \tt{probability = \frac{1}{2} }} \\ { \tt{percentage = \frac{1}{2} \times 100\% }} \\ = 50\%[/tex]
Answer:
25%
Step-by-step explanation:
1. Find the area of both Circles: [tex]A = \pi r^{2}[/tex] [tex]A = \pi 2^{2}[/tex] = [tex]4\pi[/tex] [tex]A = \pi 1^{2} = \pi[/tex]
2. [tex]\frac{\pi }{4\pi }[/tex] to find the percentage
3. 0.25 = 25%
Which graphs show functions with direct variation? select three options.
Answer:
the daily graphs
Step-by-step explanation:
the news paper
Answer:
B C E
Step-by-step explanation:
