Answers
Answer:
The length of the width is 1
Step-by-step explanation:
Since we are not finding the hypotenuse and we are given it, we have to rearrange the a² + b² = c² equation because that equation is to find the hypotenuse of a right - angled triangle and we are not asked to find the hypotenuse but the width so
a² + b² = c²
→ Substitute in the values
( √3 )² + b² = 2²
→ Simplify equation
3 + b² = 4
→ Minus 3 from both sides to isolate b²
b² = 1
→ Square root both sides to isolate b
b = 1
Related Questions
never mind LOL i got it
Answers
Answer:
C.
Step-by-step explanation:
Adjacent / Hypotenuse = 24 / 25
What is 2/3 ÷ 4/5 = ?
Answers
Answer:
5/6
Step-by-step explanation:
2/3 ÷ 4/5 = ⇒ changing division to multiplication by reciprocal of the second fraction2/3 × 5/4 = ⇒ simplify and multiply numerators and denominators5/6 ⇒ here is the answercan someone please help me i don’t get this at all!?
Answers
288/N = 720 / (N+12)
288(N+12) = 720N
288N + 3456 = 720N
3456 = 720N - 288N
3456=432N
N=8
She bought 8 pencils last month for 288, which is 36 cents each. And she bought 20 pencils this month for 720 which is 36 cents each. Hope this helped :)
Simplify
[tex] \sqrt[4]{ {5}^{4} } [/tex]
4
5
25
625
Answers
Answer:
5
Step-by-step explanation:
[tex] \sqrt[4]{ {5}^{4} } \\ = ({5}^{4})^{ \frac{1}{4} } \\ = {5}^{ \frac{4}{4} } \\ = 5[/tex]
Answer:
5
Step-by-step explanation:
triangle xyz is similar to triangle abc solve for k
Answers
Answer:
k = 13.5
Step-by-step explanation:
We can use ratios to solve
3 4.5
---- = ---------
9 k
Using cross products
3k = 9*4/5
Divide each side by 3
3k/3 = 9*4.5/3
k =13.5
Matthew invested $5,800 in an account paying an interest rate of 4.9% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 7 years?
Answers
Answer:
A≈8173.18
Step-by-step explanation:
Mia agrees to borrow a 3-year loan with 4% simple interest to buy a motorcycle. Part A If Mia will pay a total of $444 in interest, how much money did she initially borrow?
Answers
Answer:
$3700
Step-by-step explanation:
To find how much Mia borrowed, we simply need to use the Simple Interest formula:
I = (P * R * T) / 100
Where I = interest
P = principal or amount borrowed
R = rate of interest
T = time taken (in years)
Mia agrees to borrow a 3-year loan with 4% simple interest and she will pay a total of $444 in interest. Therefore:
444 = (P * 4 * 3) / 100
444 = 12P / 100
444 * 100 = 12P
=> P = (444 * 100) / 12
P = $3700
Therefore, she initially borrowed $3700 .
Calculate (full working out)
5.16 x 2.93 =
Answers
SERIOUS MATH HELP PLEAZE
SHOW WORK OR AN EXPLANATION
HELPPPPPPPPPPPP
Answers
Answer:
(X+8)(x-10
Step-by-step explanation:
The middle number is -2 and the last number is -80.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -2
Multiply together to get -80Try 8 and -10:
8+-10 = -2
8*-10 = -80
Fill in the blanks in
(x+_)(x+_)
with 8 and -10 to get...
(x+8)(x-10)
100 PTS:Please help me now plz plz I promise I will mark you brainliest
Answers
Answer:
[tex] \cos \beta = \dfrac{8}{17} [/tex]
Step-by-step explanation:
[tex] \cos A = \dfrac{adj}{hyp} [/tex]
For angle beta, adj = BC = 8, and hyp = AB = 17
[tex] \cos \beta = \dfrac{adj}{hyp} [/tex]
[tex] \cos \beta = \dfrac{BC}{AB} [/tex]
[tex] \cos \beta = \dfrac{8}{17} [/tex]
Answer:
Cos B = 8/17
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos B = adjacent/ hypotenuse
Cos B = 8/17
On the blueprint of a house, 27 millimeters represents 6 meters. The actual length of the living room is 9 meters.
Answers
Answer:
40.5 mm
Step-by-step explanation:
Use a proportion to find the blueprint's length of the living room.
27 mm is to 6 m as x is to 9 m
27/6 = x/9
6x = 27 * 9
6x = 243
x = 40.5
Answer: 40.5 mm
A square picture with a side length of 4 inches needs to be enlarged. The final area needs to be 81 square inches. Which equation can be used to solve for x, the increase in side length of the square in inches? x2 + 4x – 81 = 0 x2 + 4x – 65 = 0 x2 + 8x – 65 = 0 x2 + 8x – 81 = 0
Answers
Answer:
C) x2 + 8x – 65 = 0
Step-by-step explanation:
just took it :)
Answer:
c
Step-by-step explanation:
What is the range 0 -9 -9 -6 -4 -7 -5 -3
Answers
Answer:
9
Step-by-step explanation:
put in order least to greatest
-9 -9 -7 -6 -5 -4 -3 0
9-0=9
range cannot be negative because it is the space between numbers and distance cannot be negative
Answer: The range is 9.
A relation where every input has one and only one output is called what?
Answers
Please help me I’m about to break down
Answers
Answer:
the answer would be <RSV &<TSV
Answer:
RSV and TSV
Step-by-step explanation:
Supplementary angles are those that add to 180 degrees
RSV and TSV form a straight line so they add to 180
They are complementary angles
When Colton commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 41 minutes and a standard deviation of 3 minutes. What percentage of his commutes will be between 33 and 35 minutes, to the nearest tenth?
Answers
Answer:
[tex]P(33<X<35)=P(\frac{33-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{35-\mu}{\sigma})=P(\frac{33-41}{3}<Z<\frac{35-41}{3})=P(-2.67<z<-2)[/tex]
And we can find the probability of interest with this difference
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)[/tex]
And if we use the normal standard table or excel we got:
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)=0.02275-0.00379=0.01896[/tex]
And if we convert the probability to a % we got 1.896% and rounded to the nearest tenth we got 1.9 %
Step-by-step explanation:
Let X the random variable that represent the times to conmutes to work of a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(41,3)[/tex]
Where [tex]\mu=41[/tex] and [tex]\sigma=3[/tex]
We are interested on this probability
[tex]P(33<X<35)[/tex]
And we can solve the problem using the z score formula given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
And using this formula we got:
[tex]P(33<X<35)=P(\frac{33-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{35-\mu}{\sigma})=P(\frac{33-41}{3}<Z<\frac{35-41}{3})=P(-2.67<z<-2)[/tex]
And we can find the probability of interest with this difference
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)[/tex]
And if we use the normal standard table or excel we got:
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)=0.02275-0.00379=0.01896[/tex]
And if we convert the probability to a % we got 1.896% and rounded to the nearest tenth we got 1.9 %
A circle has centre (0, 0) and it passes through the point (5, -3)
Find the radius of the circle, in surd form.
Answers
Answer:
radius = [tex]\sqrt{34}[/tex]
Step-by-step explanation:
The radius r is the distance from the centre to a point on the circle.
Use the distance formula to calculate r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (5, - 3)
r = [tex]\sqrt{(5-0)^2+(- 3-0)^2}[/tex]
= [tex]\sqrt{5^2+(-3)^2}[/tex]
= [tex]\sqrt{25+9}[/tex]
= [tex]\sqrt{34}[/tex]
Please help me with logarithms!
Answers
Answer:
x=2ln(2)/(2ln(2)-ln(3))
Step-by-step explanation:
ln(4^x-1)=ln(3^x)
(x-1)ln(4)=ln(3^x)
(x-1)ln(4)=xln(3)
ln(4)x-ln(4)=xln(3)
ln(4)x=ln(3)x+2ln(2)
2ln(2)x-ln(3)x=2ln(2)
(2ln(2)-ln(3))x=2ln(2)
Therefore, x=2ln(2)/(2ln(2)-ln(3))
Answer:
4.819 =x
Step-by-step explanation:
4^(x-1) = 3^x
Take the log of each side
log (4^(x-1)) = log(3^x)
We know that log a^b = blog a
(x-1) log 4 = x log (3)
Distribute
x log 4 -log 4 = x log 3
Subtract x log 4 from each side
x log 4 - x log 4 -log 4 = x log 3 - x log 4
- log 4 = x log 3 - x log 4
Factor out -x
- log 4 =- x ( log 4- log 3)
Divide by -1
log 4 = x (log 4 - log 3)
Divide each side by (log 4 - log 3)
log 4 / (log 4 - log 3) = x
4.81884167930641800 =x
Round to the nearest thousandth
4.819 =x
V2 is equal to + 2 a s derive
Answers
Solve each word problem using either method.
1.
Your parents took your family out to dinner. Your parents wanted to give the waiter a 15% tip. If
the total amount of the dinner was $42.00, what should be paid to the waiter as a tip?
PLEASE HELP
Answers
Answer:
it should be $6.30
Step-by-step explanation:
i put it in 2 different ways:
42x.15 and 42x15% both gave me 6.3
A cell phone and phone case cost $110 in total. The cell phone costs $100 more than the phone case. How much was the cell phone?
Answers
Answer:
105
Step-by-step explanation:
if both together cost $110
and the cell phone cost 100 more than the phone case, we need to find the cost for the phonecase
and it's 105
hope this helped:D
brainliest is appreciated if u want
Answer:
$105 r e
Step-by-step explanation:
Please people help me
Answers
Answer:
C. 8.06
Step-by-step explanation:
You can use the pythagorean theorem to find that the length of the hypotenuse of this triangle is [tex]\sqrt{7^2+4^2}=\sqrt{49+16}=\sqrt{65}\approx 8.06[/tex]. Hope this helps!
Answer: C
Step-by-step explanation:
7^2 + 4^2 =c^2
49 + 16 =c^2
65=c^2
c= 8.06
Four students spoke to the Home and School parents for a total of 2/3 hour. Each student spoke for the same amount of time. How long did each student speak?
Answers
creo que la respuesta el 10 minutos, porque dice "horas" pero no dice a cuantas horas equivale :) espero que te aya adudado auque sea un poquito
-3(x + 4) = 6(-x - 1)
Answers
Answer: x = 2
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
-3(x+4)=6(-x-1)
1. Distribute
-3x+(-12)=-6x-6
-3x-12=-6x-6
3x-12=-6
3x=6
x=2
Mitch runs 4 miles in 2x + 3 minutes, and Joy
runs 7 miles in 5x - 1 minutes. If each of them
ran for 1 minute, how many miles would they
run, combined (in terms of x)?
Answers
What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?
Answers
f(x)=(0)^2+3(0)+5
f(x)=5
So your y intercept
Is y=5 or (0,5)
Answer:
(0, 5)
Step-by-step explanation:
To solve for the y-intercept, plug in 0 for all x values and solve.
Which of the following numbers is not a rational number? -3 2.7 √4 √5
Answers
Answer:
[tex]\sqrt{5}[/tex]
Step-by-step explanation:
If a set of data has a mean of 22 and a standard deviation of 6.5, what would be the amount that is one standard deviation lower than the mean?
Your answer
Answers
Answer:
Could u help me with my question
Step-by-step explanation:
help please! ill mark brainliest
Answers
Answer:
A=150ft^2
Step-by-step explanation:
A=(b1+b2)/2*h
A=(15+10)/2*12
A=25/2*12
A=25*6
A=150ft^2
Area of trapezoid formula: A = h(b1+b2/2)
A = 12(10+15/2)
A = 12(25/2)
A = 12(12.5)
A = 150
Therefore, the area of the trapezoid is 150ft²
Best of Luck!
x
[tex] {x}^{2} - 12x + 36 = 0[/tex]
