9514 1404 393
Answer:
C. 12cm
Step-by-step explanation:
The equation for the perimeter of the rectangle is ...
P = 2(L+W)
34 = 2(n +m)
Solving for m, we get
m = 17 -n . . . . . . . divide by 2, subtract n
__
The Pythagorean theorem gives the relationship between the sides and the hypotenuse
m^2 +n^2 = (n+1)^2
(17 -n)^2 +n^2 = (n +1)^2 . . . . . . substitute for m
289 -34n +n^2 +n^2 = n^2 +2n +1 . . . . eliminate parentheses
n^2 -36n +288 = 0 . . . . . . . put in standard form
(n -12)(n -24) = 0 . . . . . . . . . factor
n = 12 . . . . . . . . . . n=24 is an extraneous solution here
The value of n is 12 cm.
Answer:
12 cm. Just took the quiz! 12 is the right answer not 14 cm.
Step-by-step explanation:
2+2 >:) so complicated
Answer:
4
Step-by-step explanation:
Answer:
4 and thank u or the free points
Step-by-step explanation:
Which equation would we use to figure out this problem? Rachael
started off with $400 in her savings account in 2005. It earns 3% interest
each year. She wants to know how much money she'll have in the account
in 2022.
Answer:
She'll have $661 in the account in 2022.
Step-by-step explanation:
Compound interest:
The amount of money earned in compound interest after t years is given by the following equation:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the initial amount and r is the interest rate, as a decimal.
Rachael started off with $400. It earns 3% interest each year.
This means that [tex]A(0) = 400, r = 0.03[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = 400(1+0.03)^t[/tex]
[tex]A(t) = 400(1.03)^t[/tex]
She wants to know how much money she'll have in the account in 2022.
17 years after 2005, which means that this is A(17). So
[tex]A(17) = 400(1.03)^{17} = 661[/tex]
She'll have $661 in the account in 2022.
Identify all the acute angles in the figure.
A number is multiplied by 3, then 5 is added to the product. The result is 17. Fin
the number. Round your answer to the nearest tenth.
Answer:4
Step-by-step explanation:
jacob has 10p 20 p and 50 p coins one quater of the coins
is 50 p with a total of 3.00 the ratio of 10 p to 20p is 2 : 7 how much money does jacob have
Let x = number of 20p coins
10+50+20x=200 10p + 50p + x(20p) = 200p (100p=1 pound)
60 + 20x = 200
subtract 60 from each side
20x=140
divide both sides by 20
x=140/20=14/2=7
x=7 James has 7 20p coins
Find the average rate of change of f(x)=x^2-4x+1 from x=3 to x=7 .
Answer:
7
Step-by-step explanation:
My sister plans to sell more than 250 boxes of cookies.
C>250
c250
Ob
Ос
Od
CS250
C2250
Next Page
Answer:
x > 250
Step-by-step explanation:
we are to express the statement using an inequality expression
Since my sister plans to sell more than 250 boxes of cookies, the inequality sign to use will be a greater than sign (>), since my sister is not selling amount less. Hence the required inequality will be x > 250 where;
x is the amount of box of cookies
what is the area of this triangle?
Answer:
23,400
Step-by-step explanation:
30 times 30 times 26= 23,400
On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, of planted seeds will germinate. A random sample of seeds is chosen. If these seeds are planted according to the instructions, find the probability that of them germinate. Do not round your intermediate computations, and round your answer to three decimal places.
Complete question:
On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, 63% of planted seeds will germinate. A random sample of 9 seeds is chosen. If these seeds are planted according to the instructions, find the probability that 4 of them germinate.
Answer:
[tex]P(x = 4) = 0.1376[/tex]
Step-by-step explanation:
Given
[tex]n = 9[/tex]
[tex]p = 63\%[/tex] --- proportion that germinates
[tex]p = 0.63[/tex]
Required
P(x = 4)
This question follows a binomial distribution:
[tex]P(x) = ^nC_x*p^x*(1-p)^{n-x[/tex]
When x = 4;
[tex]P(x = 4) = ^9C_4*0.63^4*(1-0.63)^{9-4[/tex]
[tex]P(x = 4) = ^9C_4*0.63^4*(0.37)^5[/tex]
[tex]P(x = 4) = 126*0.63^4*0.37^5[/tex]
[tex]P(x = 4) = 0.13763895392[/tex]
[tex]P(x = 4) = 0.1376[/tex]
Solve the equation square root of the quantity x plus 3 plus 4 equals 5 for the variable. Show each step of your solution process
Answer:
x=-2
Step-by-step explanation:
[tex]\sqrt{x+3}+4=5[/tex]
subtract 4 from each side
[tex]\sqrt{x+3} +4-4=5-4[/tex]
square both sides
[tex]\sqrt{x+3}^2=1^2[/tex]
so we have
[tex]x+3=1[/tex]
subtract 3 from each side
[tex]x+3-3=1-3[/tex]
so our answer is [tex]x=-2[/tex]
please write an equation of a line in slope-intercept form with the given slope and y-intercept.
A. slope: -6, y-intercept: -2
B. slope: 1, y-intercept: -12
Factor x^2+8x+15
Show work with attachment
Answer:
heres how to solve it
Step-by-step explanation:
You ride your bike to the park to meet your friend. The park is 75/100 of a mile away from your house. You ride your bike for 2/10 of a mile before you come to a steep hill. Then you walk your bike 1/10 to the top of the hill. When you get to the top of the hill, you can see the park up ahead. How far could you be away from the park when you are at the top of the hill?
Answer:
The answer is 0.45
Step-by-step explanation:
0.75-0.1-0.2=0.45
what is the measure of angle gxi?
Answer:
80
Step-by-step explanation:
80 because 8x10=80 and also 1x80=80
The measure of angle GXI from the given circle is equal to 60°.
What is the circle?A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.
From the given figure, through the Centre 12 lines are passing and dividing the central angle.
We can write the measure of angle subtended by a single arc as -
θ = 360°/12
θ = 30°
So, the measure of ∠GXI = 2θ
= 2×30°
= 60°
So, ∠GXI = 60°
Therefore, the measure of ∠GXI is equal to 60°.
To learn more about the circle visit:
https://brainly.com/question/11833983.
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Pls someone help me with this question pls
2 is 1 of 6 numbers on each side 1/6
Since its 3 rolls youd multiply it by 3
1/6x3 would be 3/18
Answer: The Probability of rolling a 2 on 3 throws would be 3/18
Nicole took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $2.90 plus $1.75 per mile. The total fare was $44.90, not including the tip.
Write and solve an equation which can be used to determine z, the number of miles
in the taxi ride
The first thing we need to do is to find the linear equation that defines the total cost of the taxi ride as a function of the number of miles traveled.
We will find that z = 24.
We know that the taxi charges a fixed fee of $2.90, plus $1.75 per mile.
So if you travel for z miles, the total cost will be:
[tex]c(z) = \$2.90 + \$1.75 \cdot z[/tex]
Now that we have this linear equation if we know that the total fare was $44.90, then we have:
[tex]c(z) = \$2.90 + \$1.75 \cdot z = \$44.90[/tex]
Now we just need to solve the above equation for z:
[tex]\$2.90 + \$1.75 \cdot z = \$44.90\\\\\$1.75 \cdot z = \$44.90 - \$2.90 = \$42.00\\\\z = \$42.00/\$1.75 = 24[/tex]
Then we can see that she traveled for 24 miles.
If you want to learn more, you can read:
https://brainly.com/question/19770987
5th grade math. correct answer will be marked brainliest.
Answer:
Amy and Victor: 1 [tex]\frac{4}{9}[/tex]
Cal and Beth: [tex]\frac{7}{10}[/tex]
Beth and Victor [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Just multiply fractions by LCD
How many times does 1/2 go into 1 1/4
Answer:
twice
Step-by-step explanation:
1/2 x 2 = 1
then you have a leftover 1/4
is the answer a b or c
Answer:
∠Z & ∠K
Step-by-step explanation:
What is the probability that the first marble is blue and the second marble is yellow?
Answer:
[tex]\frac{1}{14}[/tex]
Step-by-step explanation:
First time drawing:
Total outcome is 8
Favorable outcome is 2
The probability that the first marble drawing in random is blue is
[tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]
Second time drawing (with no replacement):
Total outcome is 7 (8 - 1 = 7)
Favorable outcome is 2
The probability that the second marble drawing in random is yellow is
[tex]\frac{2}{7}[/tex]
The probability that the first marble is blue and the second marble is yellow is [tex]\frac{1}{4}[/tex] × [tex]\frac{2}{7}[/tex] = [tex]\frac{2}{28}[/tex] = [tex]\frac{1}{14}[/tex]
Help plz I’ll mark brainliest
Answer:
C
Step-by-step explanation:
There is absolutely no correlation between class size and number of absences.
Figure II is a translation image of Figure 1. Write a rule to describe
the translation.
Answer:
a translation of (-2,4)
Step-by-step explanation:
Kyle has 800 in his bank account before the holiday season he is going to buy gift cards of the same amount for 5 family members what is the most he can spend on each gift card if Kyle needs to have at least 500$ left in his account at the end of the season write an inequality for this situation
Answer:
look it up on the internet.
Step-by-step explanation:
plsss help me answer this question !!!!
Answer:
what's your question???
HELP PLEASE DUE IN 4 MINUTES
Answer: 500 were sold for the carousel
Step-by-step explanation:
If each ticket is then multiply 100x5 which is 500.
Answer:
the answer is 475
Step-by-step explanation:
because you have 4 full dots and a dot that is 3/4 full one dot is 100 tickets so the 4 full dots
saungelique3 avatar
= 400 and the dot that is 3/4 full is 75
saungelique3 avatar
this is because 3/4 of 100 is 75
saungelique3 avatar
400+75=475
3x+12 greatest common factors
Answer:
The common factors for 3,12 are −3,−1,1,3 - 3 , - 1 , 1 , 3 .
Step-by-step explanation:
Answer all these pleasep
Answer:
ee flamingo
Step-by-step explanation:
Answer:
...
Step-by-step explanation:
write a equation for each line
Answer:
Line l: y=4
Line m: y=-2x+4
Line n: y=x-1
Line p: x=-4
Hope this helps!
Consider the situations.
i. The value of an investment increases by $30 every year.
ii. The value of an investment decreases by 10% every year.
In which situation(s) is (are) the investment(s) changing at a constant rate?
both i and ii
only i
only ii
neither i norii
The data is shown below:
91, 48, 86, 49, 77, 86, 64, 78
What is the median?
a. 72.37
b. 74
c. 86
Answer: 72
Step-by-step explanation: Its in the middle