Answer:
One leg - 15 inches
Second leg - 36 inches.
Step-by-step explanation:
One leg - x inches.
Second leg - (x + 21) inches.
Hypotenuse - 39 inches.
Using Pythagorean theorem
x² + (x + 21)² = 39²
x² + x² + 2*21x + 21² = 39²
2x² + 42x - 39² + 21² = 0
2x² + 42x - 1080 = 0
x² + 21x - 540 = 0
(x - 15)(x + 36) = 0
x = 15, x = - 36
We can use only positive value.
One leg - x inches = 15 inches
Second leg - (x + 21) inches = 15+21=36 inches.
Point C has coordinate of -4.
What is the distance of point c from zero?
|x|-13=-3 solve the equation
Answer:
[tex]x=10\\x=-10[/tex]
Step-by-step explanation:
[tex]|x|-13=-3\\|x|=-3+13\\|x|=10[/tex]
[tex]x=10\\x=-10[/tex]
Answer:
[tex]x=\pm 10[/tex]
Step-by-step explanation:
[tex]\mid x \mid -13=-3[/tex]
Add 13 to both sides:
[tex]\mid x \mid=10[/tex]
[tex]x=\pm 10[/tex]
Hope this helps!
Can someone please help me on these 2 problems thank you Sm!:)
Joshua is using a garden hose to fill a swimming pool with water. The graph below shows
the amount of water in the pool over time. Use the drop-down menus to explain the slope of
the graph.
For the first option the numbers are 90,10,5,18,2
Answer:
minutes needed to add each gallon of water in the pool
Step-by-step explanation:
The X-axis is the time and the Y-axis is the gallons. Y is the one being influenced by X. So, the amount of gallons in the pool is being influenced by the amount of time.
Okay so I need help figuring out how to do this table
Answer:
i think the answer is 125 im not sure
Step-by-step explanation:
y = 5^3 = 125
Evaluate the expression (x + y ) if x = 4 and y = 2
Answer:6
Step-by-step explanation:
I feel like we are missing some of the equation, but here goes with what you gave
(x+y)
(4+2)
(6)
Answer:
6
Step-by-step explanation:
if x=4 and y=2 then (x+y) is (4+2)
Please help. Use the steps to finish writing an equivalent equation for y in terms of x. −6x = 12 − 4y 1. Subtract 12 from both sides: −6x − 12 = −4y 2. Divide −4 to both sides: −6x − 12 −4 = −4y −4 x + 3 = y
Answer:
3/2 x +3 = y
Step-by-step explanation:
−6x = 12 − 4y
Subtract 12 from both side
−6x-12 = 12 − 4y-12
-6x -12 = -4y
Divide both side by -4
(-6x -12)/-4 = -4y/-4
-6x/-4 -12/-4 = y
3/2 x +3 = y
Answer:
y = 1.5x + 3
Step-by-step explanation:
= - 6x - 12 = - 4y
(- 6x - 12)/- 4 = - 4y/- 4
1.5x + 3 = y
Hope this helps!
HELP!!
Determine if the triangles in the figure are congruent if so right the congruency statement and the reason the triangles are congruent explain your answer
Answer:
Yes
Step-by-step explanation:
Statement Reason
ab = bd Given
ac=cd Given
bc = cb definiton of reflex line
triangle abc is congruent to triangle dbc side side side postulate
Answer: It has been very long since I did geometry but, the triangles are definitely congruent.
Step-by-step explanation:
I do not know the congruency statement but I can tell you why. First of all, those red lines on the triangles indicate that two sides of both triangles are congruent to each other. Lastly, both of them share one line which means, all lines are congruent to each other.
∠ABC=∠DBC
I hope this helps :)
What is the volume of the rectangular prism?
A. 384 cm
6 cm
B. 96 cm3
4 cm
C. 26 cm
16 cm
D. 24 cm
Answer:B
Step-by-step explanation:
Answer: A: 384cm^3
Step-by-step explanation:
L•W•H=
please need help I will be MARKING as BRIANILIST. thank you so much.
Answer:
C
Step-by-step explanation:
5 lemons for $2.00
1 lemon is for 2/5=$0.40
Answer:
The answer is option C) $0.40
Step-by-step explanation:
Cost of 5 lemons= $2.00
cost of 1 lemon= 2.00/5
= 0.40
therefore $0.40 is the unit cost of each lemon in the bag.
Hope this helped you.
Workout the value of the largest angle
Step-by-step explanation:
These angles all add up to 360° because they form a circle, so b + b + 2b + 5b = 360°, and b = 40°. The largest angle is 5b which is 5 * 40 = 200°.
Answer:
200
Step-by-step explanation:
The sum of the angles is 360 degrees
5b+ b+b+2b = 360
Combine like terms
9b = 360
Divide each side by 9
9b/9 = 360 /9
b = 40
The largest angle is 5b
5*40
200
Which of the following represents 45 = 5 × 9?
A.
45 is 3 times as many as 15
B.
9 is 5 times as many as 45
C.
5 is 9 times as many as 45
D.
45 is 9 times as many as 5
Answer:
D 45 is 9 times as many as 5
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
45 is 9 times as many as 5 is the answer because when you turn the equation 45=5*9 into words, it has three numbers 9, 5 and 45. 45 is the product of 9 and 5 and 9 and 5 are the numbers that must be multiplied to give the product 45.
Using the following image, solve for x.
Answer:
x=6
Step-by-step explanation:
(2+x)+1=2x-3
3+x=2x-3 . Combine like terms
6+x=2x Add 3 to both sides
x=6 Subtract X from both sides
Every Wednesday, Wayne works out for 3/4 of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
Answer:
3 hours
Step-by-step explanation:
3/4 + 3(3/4) =4*(3/4) = 3
A card is picked at random from the following set: 6, 7, 8, 9. What is P (9)? Write your answer as a percentage.
Answer:
25% = (p) 1/4 = picking a number 9.
(p) 1/4 = 0.25 (results getting a number more than 8 or just getting 9
This is add rule from the 4 card set.
1/4 + 0 + 0 + 0 = 1/4
Because each (P) is equal and shows (P); 1/4
there are 1 event so 1/4 + 0= 1/4 = 0.25%
Step-by-step explanation:
0.25 x 100 = 25%
Answer:
25%
Step-by-step explanation:
there are 4 options so there are 25% chance it will be 9
Simplify expression. Use the distributive property. :)
14-2(4x+3y)
4 people can paint a house in 6 hours
a)how long will it take 1 person to paint a house
b)how long will it take for 3 people to paint a house
Answer:
24
8
Step-by-step explanation:
It will take 8 hours for 3 people to paint the house and 24 hrs for 1 person to paint the same house
Ratio and proportionFractions are ratio of two integers
If 4 people can paint a house in 6 hours, the time it will take 1 person is expressed as:
Time it will take 1 person = 6(4) =24 hours
Since the number of people is proportional to time:
p = k/t
3 = 24/t
t = 24/3
t = 8hrs
Hence it will take 8 hours for 3 people to paint the house
Learn more on ratio here: https://brainly.com/question/2914376
One batch of cookies takes two and two-fifths cups of milk. How many cups of milk will 25 batches of cookies require?
Answer:
60 cups.
Step-by-step explanation:
2 x 25 = 50
2/5 x 25 = 10
50 + 10 = 60
A bank loaned out $20,000, part of it at the rate of 9% per year and the rest at 17% per
year. If the interest received in one year totaled $3000, how much was loaned at 9%?
How much of the $20,000 did the bank loan out at 9%?
Answer:
The bank loan out at $5000 at 9%
Step-by-step explanation:
A bank loaned out $20,000
Let x be the amount loaned at at the rate of 9% per year
So, 20000-x amount loaned at at the rate of 17% per year
Formula : [tex]A =P(1+r)^t[/tex]
Amount at 9% interest in 1 year
[tex]A=x(1+0.09)^1[/tex]
A=1.09x
Interest = Amount - Principal = 1.09x-x=0.09x
Amount at 17% interest in 1 year
[tex]A=(20000-x)(1+0.17)^1[/tex]
A=1.17(20000-x)
Interest = Amount - Principal = 1.17(20000-x)-(20000-x)
We are given that the interest received in one year totaled $3000
So,1.17(20000-x)-(20000-x)+0.09x=3000
x=5000
So, the bank loan out at $5000 at 9%
Alaine has 1 gallon of paint. She is going to pour it into a paint tray that measures 10 inches wide, 12 inches long, and 5 cm deep.
(1 gallon = 231 in 1 inch = 2.54 cm)
Which of the following scenarios will happen?
The paint will not fill the tray by 369 cm
The paint will not fill the tray by 5.22 in?
The paint will fill the tray exactly
The paint will overfill the tray by 5 22 in?
Answer:
Aliane is bruh......................
Step-by-step explanation:
How do you convert a decimal to a fraction 0.04
Answer:
0.04=1/25
Step-by-step explanation:
0.04=0.04*100/100=4/100=1/25
The largest colored pencil drawing ever documented is 500 yards long. How many feet is that? Show or explain your reasoning.
Answer:
1500 ft
Step-by-step explanation:
1 yd=3 ft
500 yd*3 ft/yd=1500 ft
Answer:
1500 ft
Step-by-step explanation:
Multiply 500 yds by the conversion factor derived from 1 yd = 3 ft:
500 yd 3 ft
----------- * ----------- = 1500 ft
1 1 yd
Amy worked 16 hours more than Brayden last month. If Amy worked 8 hours for every 7 hours that Brayden worked, how many hours did they each work? (round answers to 1 decimal place) Amy worked hours Brayden worked hours
Answer:
Amy worked for 128 hours while Brayden worked for 112 hours
Step-by-step explanation:
Given
Let A represents Amy and B represents Brayden
A = 16 + B ------(1)
A:B = 8:7------- (2)
Required
Find A and B;
Convert (2) to fractions
[tex]\frac{A}{B} = \frac{8}{7}[/tex]
Cross Multiply
[tex]7 * A = 8 * B[/tex]
[tex]7A = 8B[/tex]
Substitute A = 16 + B in the above expression
[tex]7(16 + B) = 8B[/tex]
Open Bracket
[tex]7 * 16 + 7 * B = 8B[/tex]
[tex]112 + 7B = 8B[/tex]
Subtract 7B from both sides
[tex]112 + 7B - 7B = 8B - 7B[/tex]
[tex]112 = B[/tex]
[tex]B = 112[/tex]
Recall that A = 16 + B
Hence, [tex]A = 16 + 112[/tex]
[tex]A = 128[/tex]
This implies that Amy worked for 128 hours while Brayden worked for 112 hours
HELP ASAP 100 POINTS!!!
The table of values represents the function g(x) and the graph shows the function f(x).
Which statement about the functions is true?
1. f(x) is greater than g(x) for all values of x.
2. f(x) and g(x) have the same y-intercept.
3. f(x) and g(x) intersect at two points.
4.f(x) and g(x) have a common x-intercept.
===========================================================
Explanation:
For me, it helps to graph everything on the same xy coordinate system. Start with the given graph and plot the points shown in the table. You'll get what you see in the diagram below.
The blue point C in that diagram is on the red parabola. This point is the x intercept as this is where both graphs cross the x axis. Therefore, they have a common x intercept.
------------
Side notes:
Choice 1 is not true due to choice 4 being true. We have f(x) = g(x) when x = 2, which is why f(x) > g(x) is not true for all x.Choice 2 is not true. Point B is not on the parabola.Choice 3 is not true. There is only one known intersection point between f(x) and g(x), and that is at the x intercept mentioned above. Of course there may be more intersections, but we don't have enough info to determine this.If anyone helps me with these questions I will give them Brainiest
Answer:
For question 2: the answer is 84 cm
Step-by-step explanation:
The formula for the area of a rhombus/parralelogram is A = bh or base times height.
Answer:
For question 4: the answer is 465 cm
Step-by-step explanation:
The formula for a rhombus is A = bh or base times height. If you fill in those values for the base and height it would be A = 30(15.5)
Answer:
For question 5: the answer is 45
Step-by-step explanation:
The formula for a parralellgram is A = bh. So in this case, A = 18(2.5)
Answer:
For question 6: the answer is 180 feet
Step-by-step explanation:
The formula for a parallelogram is A = bh. But the height is in yards so we would have to convert it into feet. 3 yards equals 9 feet. SO, 20(9) equals 180.
Answer:
For question: 9 the answer is 21
Step-by-step explanation:
The formula for a parrallelogram is A = bh. But in this case the area is filled in for us. 336 = b(16). To find the area, we usually multiple but we will do the opposite because we have to find the base. So, 336/16 equals the base of 21.
Answer:
For question 10: the answer is 11.7
Please mark brainliest I worked hard on these questions.
Explain what is wrong with each of the following statements.
a. Seen in a tourist guide: “This state has the largest area of shoreline of any state in the region
b. Seen in a house description: “This house has over 3,200 feet.”
c. Seen in an advertisement: “Spring special: Mulch is only $39/yard.”
Answer:
See belowStep-by-step explanation:
A. Shoreline isn't measured in area, but amount.
B. Houses aren't measured in feet, but square feet.
C. Mulch isn't sold by the yard, but the pound.
I'm always happy to help :)
which of the following circles lie completely within the fourth quadrant? Check all that apply.
Answer:
B and D
Step-by-step explanation
Answer:
B and D
Step-by-step explanation:
One student says -5 is bigger than -4 and uses money as the analogy: “If I owe $5, I have a bigger debt than if I owe $4.” What is wrong with this argument?
Answer:
This is a bad argument because when talking about negative numbers, the closer the numbers are to 0, the bigger they are. -4 is closer to 0 than -5, so -4 is the bigger number.
Step-by-step explanation:
Answer:
-5 is not larger than -4.
Step-by-step explanation:
Think of a number line. The absolute value of -5 is 5, meaning -5 is 5 away from 0 to the left. On the other hand, -4's absolute value is 4, meaning -4 is 4 away from 0 to the left. In the money scenario, owing $5 is a bigger debt because the absolute value is larger, not the number itself. Hope this helps!!
Bob Farted 3 times every 30 seconds how many time does Bob fart in 2 days?
Answer:
he would fart 17280 times in 2 days
Step-by-step explanation:
Probability question, which I am stuck on!
The probabilities of landing on 1, on 2, on 4, on 5 or on 6 when rolling a biased dice are shown in the table.
*Table In Attachment*
The biased dice is rolled 300 times.
Estimate the total number of times the dice will land on 3 or on 4.
I would like to know what a biased dice is too!
Answer:
land on 3: 36 times
land on 4: 63 times
Step-by-step explanation:
A biased dice is the opposite of a fair dice.
A fair dice has the same probability of landing any of the six numbers: 1/6
The biased dice has different probabilities for its results.
To solve this question, first we need to find the probability of landing a 3.
The sum of all probabilities need to be 1, so:
0.13 + 0.05 + p(3) + 0.21 + 0.19 + 0.3 = 1
p(3) = 1 - 0.88 = 0.12
If we roll the dice 300 times, the expected number of times the dice will land:
on 3: 300 * p(3) = 300 * 0.12 = 36 times
on 4: 300 * p(4) = 300 * 0.21 = 63 times
Answer:
99
Step-by-step explanation:
3=0.12
3 =0.12×300=36
4 =0.21×300=63
63+36= 99