[tex]4\sqrt 3 - 7 \sqrt 3\\\\=(4-7) \sqrt 3\\\\=-3\sqrt 3[/tex]
One of the legs of a right triangle measures 1 cm and its hypotenuse measures 2 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
1.7 cm
Step-by-step explanation:
The formula to find the hypotenuse: [tex]c^{2} = a^{2} +b^{2}[/tex]. In this case, the hypotenus is given.
1) Substitute the values into the formula.
[tex]2^{2} = 1^{2} +b^{2}[/tex]
2) Solve for [tex]b[/tex].
[tex]4 = 1 + b^{2} \\4 - 1 = b^{2}\\3 = b^{2}\\\sqrt{3} = b\\1.73205 = b[/tex]
3) Round the answer to the nearest tenth.
[tex]1.7 = b[/tex]
Tell me the answer and show work pls
Answer: a12 = 1/5120
Step-by-step explanation:
geometric sequence formula: an = a1*r^(n-1)
a1 = 2/5, r= 1/2, n= 12
a12 = 2/5*r^11
a12 = 2/5*1/2048
a12 = 1/5120
simplify the expression
Javier is building a recyangular case that has a lenth of 28 centime ters, a width of 20 centimeters, and a height of 14 centimeters. He decides to change the height to be 2 times the original height
Answer:
124
Step-by-step explanation: Since the length is 28, the width is 20, and teh height is 14, you have to do 28+20+14, which equals 62. 62 x 2 = 124.
Combine the like terms and rewrite this expression:
2n+4z+6-n+10z-4
Answer:
n+14z+2
Step-by-step explanation:
2n+4z+6-n+10z-4
2n-n+4z+10z+6-4
=n+14z+2
suppose felino deposited $1500 in the bank for 3 years. he makes $112.50 in simple interest at the end of the 3 years. find the annual interest rate
PLEASE HELP!!!!
What is the area of the picture below?
you either multipy or add all of the numbers and find the perimeter
(x-1)2-8=16 in radical form
Answer:
x=13
Step-by-step explanation:
which statement about christophers performance is correct
Answer:
what !!!!!!!!!!!?!!!???????????!!??!?!??!!!?!?!!!?!!!!
Step-by-step explanation:
this is a joke like reallyy
the table below shows the length of the hiking trails at a local park. Aaron hikes half of the blue trail. what distance did he hike?
Answer:
The answer is B.
Step-by-step explanation:
I was trying to answer ur question a little bit ago, where it had multiple quesitons, but it had gotten deleted. I saved the answers for you
1st one- B(This question lol) , second one- C, third one- ?, fourth one- C, Fifth one- A.
I wasnt sure about the third one but i got the others...
Hope it helps you :)
Pls mark brainleist :P
`
`
`
w/ <3...
Tori
Answer:
Its 0.5 miles
Step-by-step explanation:
500ml of milk for 60p
4 litres for £3.20
Which bottle is better value for money?
Answer:
4 liters for £3.20
Step-by-step explanation:
we want to maximize quantity for each unit of money spent. if we use mL and p, we want to maximize mL/p
500 mL = 60 p
divide both sides by 60p to get a mL/p value
500 mL/60 p = 50/6 p ≈ 8.3 mL per pence
4 L = £3.20
note:
1000 mL = 1L
divide both sides by 1 L/ 1000 mL
1000 mL / 1 L = 1
1 L / 1000 mL = 1
100 p = £1
divide both sides by 100p / £1
100p / £1 = 1 = £1 / 100p
convert everything to the same units (mL and p) to accurately compare
4 L = £3.20
4L = 4L * 1 = 4L * 1000 mL / 1 L = 4000 mL. Note that we have two options to choose from -- 1000 mL / 1 L and 1 L / 1000 mL. We choose the first one here because we want the 4L to cancel out with the 1 L
£3.20 = £3.20 * 1 = £3.20 * 100p / £1 = 320 p. note we put the £1 on the bottom so the euros cancel out.
thus,
4 L = £3.20
= 4000 mL = 320p
divide both sides by 320p to get a mL / p value
4000 mL / 320 p = 12.5 mL/p
8.3 mL per pence in the first one
12.5 mL per pence in the second one
the second one has a higher mL per pence, so that is a better value
question:
the table shows the results of a survey of 100 people selected randomly at an airport . find the experimental probability that a person selected at random is going to CITY B .
the experimental probability that a person selected randomly is going to city b is ____ .
Answer:
2/5
Step-by-step explanation:
40/100 answered city B, simplified it is 4/10 and then 2/5
Solve this problem.
348-3435+847
Answer:
3934Step-by-step explanation:
PLS MARK BRAILIESTAnswer:
-2240
Step-by-step explanation:
1. 348-3435 = -3087
2. -3087 + 847 = -2240
Eddie drew a scale drawing of a house and its lot. The scale of the drawing was 1 inch : 6 feet. If the actual width of the porch is 18 feet, how wide is the porch in the drawing?
Answer:
3 inches
Step-by-step explanation:
18/6=3
Complete the square to transform the quadratic equation into the form (x – p)2 = q. x2 - 12x - 5 = 7 A) (x - 36)2 = 9 B) (x - 6)2 = 48 C) (x - 36)2 = -9 D) (x - 6)2 = -48
Answer:
(x - 6)^2 = 48.
Step-by-step explanation:
x2 - 12x - 5 = 7
x2 - 12x = 12
(x - 6)^2 - 36 = 12
(x - 6)^2 = 48
Given that the sine of a certain angle is 513, and that the angle lies in quadrant 1 of the coordinate plane, what is the tangent of the angle?
The question is an illustration of trigonometry ratio, and the tangent of the angle is 12/13
How to determine the tangent of the angle?Let the angle be x.
The sine of the angle is given as:
sin(x) = 5/13
The sine of an angle is calculated using:
sin(x) = opposite/hypotenuse
By Pythagoras theorem, we have:
Hypotenuse^2 = Adjacent^2 +Opposite^2
This gives
13^2 = Adjacent^2 + 5^2
Rewrite as:
Adjacent^2 = 13^2 - 5^2
Evaluate
Adjacent^2 = 144
Take the square root of both sides
Adjacent = 12
The tangent is then calculated using
tan(x) = Adjacent/Hypotenuse
So, we have:
tan(x) = 12/13
Hence, the tangent of the angle is 12/13
Read more about trigonometry ratio at:
https://brainly.com/question/11967894
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expressions that are equal to 4 times the square root of 5
Answer:
Simplify 4/ (square root of 5) 4 √5 4 5 Multiply 4 √5 4 5 by √5 √5 5 5. 4 √5 ⋅ √5 √5 4 5 ⋅ 5 5
Step-by-step explanation:
Hi, I have a Q, how do I use it?
Answer:
use what
Step-by-step explanation:
explanation & answer
Answer:
The answer to this expression is [tex]\frac{13x-6}{6}[/tex], or [tex]\frac{13x}{6} - 1[/tex].
Step-by-step explanation:
The given problem is [tex]\displaystyle \frac{2x}{3}+\frac{(3)x-2}{2}[/tex] .
Let's start by finding common denominators for the fractions so that we can add them. The simplest common denominator is 6; we multiply [tex]\frac{2x}{3}[/tex] by [tex]\frac{2}{2}[/tex] and [tex]\frac{3x-2}{2}[/tex] by [tex]\frac{3}{3}[/tex].
[tex]\displaystyle \frac{2x}{3} \times \frac{2}{2} =\frac{4x}{6}[/tex][tex]\displaystyle \frac{3x-2}{2} \times \frac{3}{3} = \frac{3(3x-2)}{6} = \frac{9x-6}{6}[/tex]Now, since the fractions have common denominators, we can add them together.
[tex]\displaystyle \frac{4x}{6} + \frac{9x-6}{6} = \frac{13x-6}{6}[/tex]The answer to this expression is [tex]\frac{13x-6}{6}[/tex], or [tex]\frac{13x}{6} - 1[/tex].
What is the percent of change 30in to 24in
Answer:
1/5
Step-by-step explanation:
30 - 24 = 6
6 = 6/30
6/30 = 1/5
Answer: 20%
Step-by-step explanation: 30- 24 = 6
6/30 × 100/ 1 = 20%
Which is a stretch of an exponential decay function?
Answer:
The correct option is C. The function [tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex] is a stretch of an exponential decay function.
Step-by-step explanation:
The general form of an exponential function is
[tex]f(x)=ab^x[/tex]
where, a is the initial value and b is the growth factor.
If b<1, then it represents a decay function and if b>1, then it represents a growth function.
Let k be a stretch and compression factor.
[tex]g(x)=kf(x)[/tex]
If k<1, then it represents vertical compression and if k>1, then it represents vertical stretch.
In third function
[tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex]
[tex]k > 1[/tex]
[tex]b < 1[/tex]
Therefore the function [tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex] is a stretch of an exponential decay function.
PLEASEE HELPPP TEST DUE IN 20 MINUTES!! A Question 2 (2 points) Retake question
When solving the following equation by completing the square, what would you add
to both sides of the equation in order to complete the square? X^2-10x =3
6
3
15
25
9
10
1
Answer:
D. 25
Step-by-step explanation:
To find the new value of c when completing the square, use the formula [tex](\frac{b}{2} )^{2}[/tex].
Plugging in the given values:
[tex](\frac{10}{2} )^{2}[/tex]
(5)²
= 25
hope this helps!
Answer:
25
Step-by-step explanation:
when solving the equation, you're going to add have the coefficient of x to bothsides.
from the question, the coefficient of x is 10 and half of it is 5
5^2= 25
hope this helps!!!please rate and mark brainliest.Find the area of the figure. Use 3.14 for 77.
in
7 in
A. 56.13 in2
B. 35.13 in2
C. 70.26 in2
D. 49,26 in2
Answer:
C 70.26 in2
Step-by-step explanation:
6 = D
R = D/2
R = 3
A = 3.14 x 3 x 3
A = 3.14 x 9
A = 28.26
The area of the triangle is
A = 6 x 7
A = 42
So
42 + 28.26
70.26 in2
Avani has 5 posters she wants to hang on the wall. How many different ways can the posters be arranged in a row?
First, how many ways are there for the 1st poster?
It can be the first, the 2nd, the 3rd, the 4th, or the 5th.
How many ways are there for the 2nd poster?
there are 4 ways, because one of them is occupied by the first poster
There are 3 ways for the 3rd poster, 2 ways for the 4th poster and 1 way for the 5th poster.
Multiply the number of ways together : 120 ways
These are the ways we can arrange the 5 posters ↓
[tex]\boxed{\\\begin{minipage}{2 cm}poster~1 \\ \\ \end{minipage}}[/tex] [tex]\boxed{\\\begin{minipage}{2cm}poster~2 \\ \\ \end{minipage}}[/tex] [tex]\boxed{\\\begin{minipage}{2cm}poster~3 \\ \\ \end{minipage}}[/tex] [tex]\boxed{\\\begin{minipage}{2cm}poster~4 \\ \\ \end{minipage}}[/tex] [tex]\boxed{\\\begin{minipage}{2cm}poster~5 \\ \\ \end{minipage}}[/tex]
We could replace P1 (Poster 1) with any of the 4 posters here, and do the same thing with the other posters...
Overall, believe it or not, there are 120 ways to arrange these 5 posters.
A quick way to calculate this is
5!=5*4*3*2*1
120
Number of ways ↓120
hope helpful ~
There are 120 different ways the posters can be arranged in a row
How many different ways can the posters be arranged in a row?from the question, we have the following parameters that can be used in our computation:
Number of posters = 5
This means that
n = 5
The different ways the posters can be arranged in a row is calculated as
Ways = n!
So, we have
Ways = 5!
Expand
Ways = 5 * 4 *3 * 2 * 1
Evaluate
Ways = 120
Hence, the number of ways is 120
Read mroe about permutation at
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Complete the two column proof
Given angle to an angle five are supplementary
Prove: I || m
Answer:
Step-by-step explanation:
Pls help! find the area of each figure. use 3.14 for π
Answer:
39.5
Step-by-step explanation:
1 Triangle; 3
other Triangle; 4.5
Rectangles; 32
Hope This Helps! :)
which expressions are equivalent to 4^-2*7^-2
Answer:
[tex]\textsf{B)}\quad \dfrac{1}{28^2}[/tex]
[tex]\textsf{C)} \quad \dfrac{7^{-2}}{4^2}[/tex]
Step-by-step explanation:
[tex]4^{-2} \cdot 7^{-2}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b \cdot c^b)=(ac)^b:[/tex]
[tex]\implies (4 \cdot 7)^{-2}[/tex]
[tex]\implies (28)^{-2}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]
[tex]\implies \dfrac{1}{28^2}[/tex]
-------------------------------------------------------------------------------------------
Also,
[tex]4^{-2} \cdot 7^{-2}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]
[tex]\implies \dfrac{7^{-2}}{4^2}[/tex]
[tex]\\ \rm\Rrightarrow 4^{-2}7^{-2}[/tex]
a^{-n}=1/a^n[tex]\\ \rm\Rrightarrow \dfrac{1}{4^2.7^2}[/tex]
a^n×b^n=(ab)^n[tex]\\ \rm\Rrightarrow \dfrac{1}{(4.7)^2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1}{28^2}[/tex]
If we break only 4
[tex]\\ \rm\Rrightarrow \dfrac{7^{-2}}{4^2}[/tex]
Option B and C
If the measures of two interior angles of a triangle are 25° and 84º, what is the measure of the third
angle?
Answer: The measure of the third angle would be 71
Step-by-step explanation:
A road-roller levels 3000m of road in 4hours How many metres does it level in a 24 hourday? please help me
Answer:
18,000 meters
Step-by-step explanation:
We know:
v = 4 and t = 24Substitute:
{ v = 4 ⇒ INTO FORMULA ⇒ D = V × T : D = 4 × 24
{ t = 24
Cross out the common factor:
⇒ 6 × 3000
Calculate the product or quotient:
⇒ 18,000
The weather forecast predicts a 60% chance of rain. However, if it does not rain, the Hershey family has a 90% chance of going to an amusement park. What is the probability of going to the amusement park?