Answer:
Length of right-angle triangle 'a' = 4
b)
[tex]sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}[/tex]
[tex]cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}[/tex]
[tex]tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}[/tex]
Step-by-step explanation:
Step(i):-
Given b = 3 and hypotenuse c = 5
Given ΔABC is a right angle triangle
By using pythagoras theorem
c² = a² + b²
⇒ a² = c² - b²
⇒ a² = 5²-3²
=25 - 9
a² = 16
⇒ a = √16 = 4
The sides of right angle triangle a = 4 ,b = 3 and c = 5
Step(ii):-
[tex]sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}[/tex]
[tex]cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}[/tex]
[tex]tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}[/tex]
What is the y-intercept in this equation?
6x + 3y = 24
Answer: y=−2x+8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Let's rewrite this in slope intercept form, and isolate y on the left side. First, subtract 6x from both sides:
3y = 24 - 6x
Then divide both sides by 3:
y = -2x + 8
Now that it's in y = mx+b form, we can see that the slope is -2, and the y intercept is 8.
Hope this helps!
A roll of ribbon was 12 meters long. Diego cut 9 pieces of ribbon that were 0.4 meter each to tie some presents. He then used the remaining ribbon to make some wreaths. Each wreath required 0.6 meter. How many meters of ribbon were available for making wreaths?
Answer: 8.4 meters
Step-by-step explanation:
From the question, we are informed that a roll of ribbon was 12 meters long and that Diego cut 9 pieces of ribbon that were 0.4 meter each to tie some presents. The length of ribbon used by Diego for the present would be:
= 9 × 0.4meter
= 3.6 meter.
Therefore, the meters of ribbon that were available for making wreaths would be:
= 12 meters - 3.6 meters
= 8.4 meters
Answer:
5.4
Step-by-step explanation:
We have 12 meters total,Diego: 9 pieces × 0.4 meters= 3.6 meters
So Diego used up 3.6 meters of ribbon
Part A: 9-3.6=5.4 meters left
Under her cell phone plan, Ava pays a flat cost of $70 per month and $4 per gigabyte. She wants to keep her bill under $90 per month. Use the drop-down menu below to write an inequality representing gg, the number of gigabytes she can use while staying within her budget.
Answer:
Inequality: 4g + 70 < 90
Step-by-step explanation:
Given that:
Flat cost per month = $70
Cost per gigabyte = $4
Budget amount = under $90
As she wants to keep the budget under 90, then we will use less than sign to form the inequality.
Let,
g be the number of gigabytes.
4g + 70 < 90
Hence,
Inequality: 4g + 70 < 90
Answer:
g<5
Step-by-step explanation:
Have a good day :)
Pam budgets $164 for fitness training. She buys a pair of hand weights for $12.65 and pays $10 per fitness class. Which inequality represents the number of fitness classes, c, that Pam can take and stay within her budget?
A. 164 ≥ 12.65 + 10c
B. 164 ≤ 12.65 + 10c
C. 164 ≥ 12.65c + 10
D. 164 ≤ 12.65c + 10
Answer:
A
Step-by-step explanation:
What is the perimeter of polygon LMNPQ?
O A 2 +12V2 units
OB. 7+2V2 units
OC. 10+ 4 V2 units
OD. 12+2 V2 units
OE 12 +4V2 units
Help please.
Answer:7+2/
Step-by-step explanation:
please help me on this will give you brainliest
Answer:
3,000,000+700,000+4,000
Answer:
3,000,000+700,000+4,000
Step-by-step explanation:
you just separate the parts
What is slope of the line that pass through (-3,1) and (7,-14)?write your answer in simplesr form.
Algebra 2
Factoring Polynomials
Factor the polynomial completely.
1. x3 - 2x2 – 24x
Two cylinders, a and b, each started with different amounts of water. The graph shows how the height of the water changed as the volume of water increased in each cylinder. Which cylinder has a larger radius? Explain how you know.
Answer:
There is no graph
Step-by-step explanation:
On a road map of Virginia, the distance from Alexandria to Roanoke is 7.6 cm. If the map scale is 2 cm=80km What is the actual distance between the cities?
Answer:
304 km
Step-by-step explanation:
2 cm = 80 km
1 cm = 80/2
= 40 km
7.6 cm = 40×7.6 km = 304 km
How to solve 3x+4-4=2x+8
Answer:
x=8
Step-by-step explanation:
We move all terms to the left:
3x+4-4-(2x+8)=0
We add all the numbers together, and all the variables
3x-(2x+8)=0
We get rid of parentheses
3x-2x-8=0
We add all the numbers together, and all the variables
x-8=0
We move all terms containing x to the left, all other terms to the right
x=8
Answer:
your answer is
3+4−4=2+8
3=2+8
Subtract
2from both sides of the equation
then you Simplify and you get =8
Step-by-step explanation:
please help will give brainly and all my points but please show work
Answer:
5+2(3x-4)-x
5+6x-8-x
it is simplified to -3+5x
Step-by-step explanation:
Answer:
Q10: 5x - 3
Q15: s = 2
Q21: 4 ft
Q24: -33%
Q42: 10.3
Step-by-step explanation:
Question 10) Simplify. 5 + 2(3x − 4) − x
5 + 6x - 8 - x
= -3 + 5x
= 5x -3
Question 15) Solve. 27s − 29 = 54s − 83.
27 s -27 s -29 + 83 = 54 s -27 s -83 + 83
54 = 27 s
s = 2
Question 21) On a sunny day, a 2-foot red kangaroo casts a shadow that is 7 feet long. The shadow of a nearby eucalyptus tree is 14 feet long. Find the height of the tree.
The ratio of the tree and kangaroo is 2:1
Therefore, using this logic, 14 / 7 = 2, 2 x 2 = 4ft
The height of the tree is 4ft
Question 24) Find the percent change from 600 to 408. Tell whether it is a percent increase or decrease. If necessary, round your answer to the nearest percent.
408 / 608 = 0.67 = 67%
67 - 100 = -33%
This is a percent decrease
Question 42) Use the distance formula to find the distance to the nearest tenth, from R(7, −2) to W(−2, 3).
Distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
d = sqrt((-2 - 7)^2 + ( 3 - (-2))^2
d = sqrt((-9)^2 + (5)^2)
d = sqrt(81 + 25)
d = sqrt(106)
d = 10.29 = 10.3 (nearest tenth)
Please help me with these two questions.
Answer:
Are these 2 ok
Step-by-step explanation:
I hope this helps you.
Answer:
.........................
Find the perimeter of the shape shown below. ILL GIVE BRAINLIEST
Awnser:
61 ft
Step-by-step explanation:
To find the perimeter add all the lengths of the sides together. The perimeter is just the length around the outside of the shape.
6.2 + 16.6 + 6.2 + 15 + 17 = 61ft
If ON = 7x - 5, LM = 6x + 4 NM = X + 6, and OL = 8y + 3
Answer:x=9 y=3/4
Step-by-step explanation:
worth 10 need help due today
expression for the width and the length of 6 x ^ 2 - 11x - 10
What are some GCFS of 6p3?
Answer: 2p because yes :)
What is the first step to simplify the expression? (1 Point)
5 - 3 + 2 X 5
Subtract
add
multiply
simplify from left to right
Multiply first then you would wanna add but you can't until you subtract 5-3 then add I got 12
HELP ME IM TERRIBLE AT THIS
Answer:
a. $14.50
b. $43.5
Step-by-step explanation:
a. $7.00 + $7.50 = $14.50
b. y = 14.5x x=3
y = $14.5 x 3 = $43.5
Calculate the fuel and mileage.
Gas tank capacity: 14.5 gallons
Fuel efficiency: 29 mpg
How many miles on a full tank?
How many gallons left in a half tank?
How many miles can be driven on a quarter tank?
If the low mileage alert comes on at 50 miles left, what part of a tank do you have left?
if the low mileage alert comes on at 50 miles left, how many gallons are in your tank?
If you wait until the alert comes on, and gas is $2.3699 a gallon, how much will you pay to fill up the tank?
Answer:
14.5*29=420.5 miles for a full 14.5-gallon tank.
7.25-gallons is what is left in a half tank.
105.125 miles can be driven on a quarter tank.
if the low milage alert comes on at 50 miles left they have 1/9 of the tank left with gas.
if the low milage alert comes on at 50 miles left he was 1.724 gallons of gas left.
It would cost $30.28 to get the tank back to a full 14.5 gallons.
Step-by-step explanation:
It was mostly basics knowing that 29 miles per gallon and then its just plug in til it fits.
Use the box plot to answer the questions! 40 42 44 448 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 1. What is the median in the box plot shown? What is the IQR?
Answer:
Median: 61
IQR: 20
Step-by-step explanation:
Answer:16
Step-by-step explanation:
No time
what are the names of these polynomials?:
5x2−2x+3
7a3+4a−12
−15
12x2+5
3x+8
Answer:
1. Trinomial 2. Trinomial 3. Monomial 4. Binomial 5. Binomial
Step-by-step explanation:
The numbers with variables attached are called terms, and how many there are defines the equation. It doesn't matter how many variables or exponents are attached, there could be none or 15 each to the power of 6 but it's still one term. "Mono" means one, so there's only one term, "Bi" means two, so there are two terms, and "Tri" means three, so there are three terms. "Poly" applies to everything above three, though unused words for the bigger terms do exist.
Answer plz. Zzzzxxzzz
Answer:
m= -12
Step-by-step explanation:
-15m-30=-12m+6
-3m=36
m=-12
Answer:
m = -12
Step-by-step explanation:
Simplify the Left Hand Side:
[tex]-5\left(3m+6\right) = -5\cdot \:3m+\left(-5\right)\cdot \:6[/tex]
[tex]=-15m-30[/tex]
Simplify the Right Hand Side:
[tex]-3\left(4m-2\right)=-3\cdot \:4m-\left(-3\right)\cdot \:2[/tex]
[tex]=-3\cdot \:4m+3\cdot \:2[/tex]
[tex]= -12m+6[/tex]
All together we have:
[tex]-15m-30=-12m+6[/tex]
Add 30 to both sides and simplify:
[tex]-15m-30+30=-12m+6+30[/tex]
[tex]-15m=-12m+36[/tex]
Add 12m to both sides and simplify:
[tex]-15m+12m=-12m+36+12m[/tex]
[tex]-3m=36[/tex]
Finally, we divide both sides by -3:
[tex]\frac{-3m}{-3}=\frac{36}{-3}[/tex]
And we get the answer
m = -12
Can someone help me with this , thank you :)
1. The nominal interest rate is8% and the inflation rate is 6%, what is the real rate of interest?
2. If the real rate of interest is 2%, and the expected rate of inflation is 3% then the nominal rate of interest is:
use this formula to solve 1&2,
1+ nominal interest rate = (1+ real interest rate) * (1+ inflation rate)
9514 1404 393
Answer:
1.89% 5.06%Step-by-step explanation:
1. Solving for real interest rate, we find it to be ...
real interest rate = (1 +nominal rate)/(1 +inflation rate) -1
= 1.08/1.06 -1 ≈ 1.89%
__
2. Solving for nominal interest rate, we find it to be ...
nominal interest rate = (1 +real interest rate)·(1 +inflation rate) -1
= (1.02)(1.03) -1 ≈ 5.06%
The population of New York state can be modeled by:
P(t) = 19.71/(1+61.22e^(-0.03513t))
Where P is the population in millions and t is the number of years since 1800. What is New York's maximum sustainable population?
Answer:
The answer is "19.71 million".
Step-by-step explanation:
[tex]\to P(t) = \frac{19.71}{1+61.22 e^{(-0.03513t)}}[/tex]
where
[tex]\to p= \text{population in million} \\\\\to t= \text{time in years}\\[/tex]
when t is increases, then [tex]61.22 \ e^{-0.035 t}=\frac{61.22}{e^{0.035t}}[/tex] when decrease so that p(t) continually grows in size to reach the optimum population which you find if t is quite high [tex]t \to \infty[/tex]
[tex]\to P_{max} = \lim_{ \ t \to \infty} \frac{19.71}{1+61.22 e^{(-0.03513t)}}[/tex]
[tex]when \ t \to \infty \ , 0.035 t \to \infty \ , e^{(0.03513t)} \to e^{\infty} \to \infty\ \ e^{\frac{1}{0.035t} = \ e^{-0.035t}} \to 0[/tex]
[tex]= \frac{19.71}{1+0}\\\\= \frac{19.71}{1}\\\\ = 19.71 \ million[/tex]
HELP PLS <3 ASAP
KSKXNXNNmxmx
Answer:
sbshsbsbhshsndjdudbdjdjdjdb
Step-by-step explanation:
shsbshshudhdbdudjdjdsbsbsb
A biased dice is thrown.
Here are the probabilities of each score.
Score
1
2
3
4
5
6
Probability
0.15
0.05
0.25
0.05
0.3
0.2
The dice is thrown 300 times.
Work out the expected number of times the score will be odd.
Given:
A biased dice is thrown 300 times.
Table of probabilities of each score.
To find:
The expected number of times the score will be odd.
Solution:
Odd numbers on the dice are 1, 3, 5. The sum of their probability is
[tex]0.15+0.25+0.3=0.7[/tex]
Even numbers on the dice are 2, 4, 6. The sum of their probability is
[tex]0.05+0.05+0.2=0.3[/tex]
Now, the expected number of times the score will be odd is
[tex]\text{Expected odd number}=300\times \text{Probability of getting an odd number}[/tex]
[tex]\text{Expected odd number}=300\times 0.7[/tex]
[tex]\text{Expected odd number}=210[/tex]
Therefore, the expected number of times the score will be odd is 210.
how to solve 2 divided by 1/7
Answer:
14
Step-by-step explanation:
You can put it as a fraction like so:
2/1 divided by 1/7
Use the strategy KCF (Keep, Change, Flip)
2/1 x 7/1
=2x7
=14
