Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95
if
f(x)=x^2+2x-4
and
g(x)=3x+1
find
f(g(x))=__x^2+__x+__
Step-by-step explanation:
f(x) = x² + 2x - 4
g(x) = 3x + 1
f(g(x)) = f(3x + 1)
f(3x + 1) = [3x + 1]² + 2[3x + 1] - 4
= 9x² + 6x + 1 + 6x + 2 - 4
= 9x² + 12x -1
Solve the formula F = 9/5C + 32 for C
for C____
Answer:
C = (5/9F) - (160/9)
Step-by-step explanation:
F = 9/5C + 32
F - 32 = 9/5 C
C = 5/9 (F-32)
C = (5/9F) - (160/9)
Answer:
the answer 5/9F - 160/9
what is (9w)^2 (in other words, to the power of two.)
Answer:
9w to the power of is 81w
Step-by-step explanation:
Find the x-intercept of the graph of the equation y = -2.65x + 25.
What does the x-intercept mean in terms of the situation?
Answer:
x=9.4
Step-by-step explanation:
x intercept is the point where the graph crosses the x axis and y always =0
-2.65x+25=0
-2.65x=-25
x=-25/-2.65
x=500/53
x=9.4
Using one or more of your senses to gather information is called O Inferrence O Prediction O Observation O Hypothesis
In this diagram, how many points are coplanar with points A, B and R?
four
six
two
one
What made the two equivalent fractions 1/2 and 5/10 have the same value
Answer:
1/2 and 5/10 are equivalent because when you reduce 5/10, you get 1/2. Also, whenever we speak, we always say half of 10 is 5. Finally, the factor of 5 made them have an equal value. Therefore, 5/10 and 1/2 are equivalent.
Hope this helps!
Multiply the fraction by 5/5 makes them equivalent fraction.
what is fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
1/2 and 5/10
Now, to make fraction equivalent we have to find the factorizing factor.
As, 1/2 x 5/5= 5/10
Hence, multiply the fraction by 5/5 makes them equivalent fraction.
Learn more about fraction here:
https://brainly.com/question/10354322
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Thomas the giant gorilla climbed to the top of a building 650 feet tall. He broke loose a statue and threw it down with an initial velocity of 50 feet per second. How long will it take for the statue to hit the ground ?
Answer:
13 seconds
Step-by-step explanation:
It goes down by 50. So it goes 650 600 550 500 450 400 350 300 250 200 150 100 50 0
Which of the following expressions is correct?
|-37| = 37
-|37| = 37
|-37| = -37
-|-37| = 37
Answer:
The first one is correct
Step-by-step explanation:
Absolute value (Anything that is inside the tabs) will always be positive, even if there is a negative sign in the number. If the number is already positive, it's still positive.
Answer:
the first one
Step-by-step explanation:
the negative sign is in the box
plz help me with this qustion
Answer:
c
Step-by-step explanation:
a.) 7+7=14 and 19-5=14 ✓
b.) 9+9=18 and 11+7=18 ✓
c.) 19 and 13+5=18 ✗
d.) 20-12=8 and 4+4+8 ✓
Which value is greater:
A) 0.66 or 5/8
A
B
Find the distance between (-8,-2) and (6,-1)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{197} \: \: units}}}}}[/tex]
Step-by-step explanation:
Let the points be A and B
Let A ( -8 , -2 ) be ( x₁ , y₁ ) and B ( 6 , - 1 ) be ( x₂ , y₂ )
Finding the distance between these points
[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {(6 - ( - 8))}^{2} + {( - 1 - ( - 2))}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {(6 + 8)}^{2} + {( - 1 + 2)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {(14)}^{2} + {(1)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{196 + 1}}} [/tex]
[tex] \dashrightarrow{ \boxed{ \sf{ \sqrt{197 \:} \: units}}} [/tex]
Hope I helped!
Best regards! :D
The department manager recorded the number of sick days taken last year by each employee, as shown in the table. What is the mean number of days employees were sick? Round to the nearest hundredth. A. 4.57 days B. 5.57 days C. 4.43 days D. 3.86 days I WILL MAKE U BRAINLLEST IF YOU ANSWER COREECTLY!!!!!!!
In 5.......4........3.......2......1...... ANSWER
Answer:
It's C
Step-by-step explanation:
The mean number of days employee were sick is 4.43 days.
Option C is correct.
Here,
Given that;
The department manager recorded the number of sick days taken last year by each employee, as shown in the table.
We have to find the mean number of days employee were sick.
What is Mean?
The average of the given numbers is called Mean and is calculated by dividing the sum of given numbers by the total number of numbers.
Now,
In given table;
Number of sick days are,
7, 4, 2, 6, 4, 5, 3
Hence,
Mean number of days employee were sick = [tex]\frac{7+4+2+6+4+5+3}{7}[/tex] [tex]= \frac{31}{7}[/tex][tex]= 4.4285[/tex]
Now, Rounding the number to the nearest hundredth we get;
Mean of number of days employee were sick = 4.43 days
Hence, The mean number of days employee were sick is 4.43 days.
Option C is correct.
Learn more about the mean visit:
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if it is 5:30 pm what time would it be a half and hour later
Answer:
6 pm if you're saying in half a hour. 7 if you're saying an hour and a half
Step-by-step explanation:
solve this please.
[tex]3(m - 5) + 11 = - 85[/tex]
Answer:
Bro this some alien hyroglyphics
Step-by-step explanation:
Answer:
m = - 27
Step-by-step explanation:
Given
3(m - 5) + 11 = - 85 ← distribute and simplify left side
3m - 15 + 11 = - 85
3m - 4 = - 85 ( add 4 to both sides )
3m = - 81 ( divide both sides by 3 )
m = - 27
(4x)(3z+y)+2x(3y+2z)=axz +bxy. Determine the values of a, b, and c
Answer:
a = 16
b = 10
In the equation from the question there's no value that you can determine for c.
Step-by-step explanation:
(4x)(3z+y)+2x(3y+2z)=axz+bxy12xz+4xy+6xy+4xz16xz+10xyPLEASE HELP ASAP!!!!
Answer:
11
Step-by-step explanation:
Since M is on LN,
LM + MN = LN.
[tex](2x+7)+3x=4x+9[/tex]
Remove brackets:
[tex]2x+7+3x=4x+9[/tex]
Add the x terms:
[tex]5x+7=4x+9[/tex]
Subtract 7 from both sides:
[tex]5x+7-7=4x+9-7[/tex]
[tex]5x=4x+2[/tex]
Subtract 4x from both sides:
[tex]5x-4x=4x+2-4x[/tex]
[tex]x=2[/tex]
[tex]LM=2x+7=2(2)+7=4+7=11[/tex]
how to solve −3d + 10 = 43
Answer:
-3d = 43-10
-3d = 33
d = 33/-3
d = -11
Answer:
d = 11
Step-by-step explanation:
Simplifying
3d + 10 = 43
Reorder the terms:
10 + 3d = 43
Solving
10 + 3d = 43
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + 3d = 43 + -10
Combine like terms: 10 + -10 = 0
0 + 3d = 43 + -10
3d = 43 + -10
Combine like terms: 43 + -10 = 33
3d = 33
Divide each side by '3'.
d = 11
Simplifying
d = 11
Hope this helps!
Triangle ABC was transformed to be triangle DBP using one
transformation
What transformation was performed?
O reflection
o translation
O rotation
O dilation
Answer:
reflection
Step-by-step explanation:
this is a reflection off y=-x
I WILL GIVE BRAINLIEST!!!!! Consider the scenario below. This morning Haidar noticed that her dog, Aldi, seemed unwell. She took him to the vet, where he was diagnosed with an ear infection. The veterinarian prescribed an antibiotic called amoxicillin to help Aldi feel better. Haidar will give Aldi 150 mg of the antibiotic once each day for 10 days. Each time Haidar gives Aldi his next dose of medication, 40% of the previous dose remains in his bloodstream. Use what you know about recursive sequences and iteration to explore the mathematics related to this scenario. 1. Determine the amount of medication that is in Aldi’s bloodstream after Haidar gives him each of the 1st, 2nd, 3rd, and 4th doses of amoxicillin. Show your work.
Answer:
225 mg remain in Aldi bloodstream
Step-by-step explanation:
150mg of amoxicillin was given daily for 10 days equals 1,500
of the 1500-40% =600mg
600mg divided by 4 days = 225mg still in blood stream
Please help due in 10 min
Answer: the first option
PLS HELP, I'LL GIVE YOU NITRO ON DISC0RD!!! Jose ran a concession stand last Saturday and made $79.80 from selling a total of 42 hot dogs and hamburgers. Each hot dog sold for $1.50 and each hamburger sold for $2.70. Which system of equations can be used to determine the number of hot dogs, x, and hamburgers, y, that were sold?
Answer:
1.50x + 2.70y - 84 = 79.80
Explanation: I REALLY don't know if this is right, but I hope I helped you out at least a little bit.
Answer:
x + y = 42
1.50x + 2.50y = $79.80
x = 28 hot dogs
y = 14 hamburgers
Step-by-step explanation:
x = hot dogs
y = hamburgers
Equation:
x + y = 42
1.50x + 2.50y = $79.80
I used Substitution
x = 42 - y
1.50(42 - y) + 2.50y = 79.80
63 - 1.50y + 2.70y = 79.80
63 + 1.2y = 79.80
Substract 63 from both sides
1.2y = 16.8
Divide 1.2 on both sides
y = 14
x + y = 42
x + 14 = 42
x = 28
y = 14
Don't know how to explain that well, I hope this helps.
Simplify to create an equivalent
6 (5 - 3y) + 4(y + 1)
Answer:
-14y + 34
Step-by-step explanation:
Step 1: Write out equation
6(5 - 3y) + 4(y + 1)
Step 2: Distribute
30 - 18y + 4y + 4
Step 3: Combine like terms
-14y + 34
Answer:
34-14y
this is simplifed
Step-by-step explanation:
A garden table and a bench cost $755 combined. The garden table costs $95 less than the bench. What is the cost of the bench?
Answer:
The bench costs $425
Step-by-step explanation:
First lets define our variables:
t = garden table
b = bench
Next, we have to use the information to create two formulas. One formula is for the cost of a garden table and a bench. The second is for the cost of the garden table.
t + b = 755
t = b - 95
For the next step, we can solve for be by using the second formula we created and replacing (t) in the first formula:
b - 95 + b = 755
2b - 95 = 755
2b = 850
bench = 425
To find out how much the cost of the cost of the table is, you can plug in the cost of the bench (b) back into the second equation:
t = b - 95
t = 425 - 95
table = 330
I hope this helps!
-TheBusinessMan
When traveling to the airport, your checked baggage must be under 50 pounds. There are about 2.2 lbs. in one kilogram. What is this weight in kilograms? Round to the nearest tenth. *
I need help
Answer:
22.7 kg
Step-by-step explanation:
Using a conversion factor:
50 lb × (1 kg / 2.2 lb) = 22.7 kg
Using a proportion:
1 kg / 2.2 lb = x kg / 50 lb
2.2x = 50
x = 22.7
Round 97.081 to the nearest tenth
Answer:
97, that's the answer.
Answer: 97.1
Step-by-step explanation: the tenth is the first number after the decimal place so in your question that number is the 0 and the number next to it is 8 so, our 0 needs to change because 8 is bigger than 5 on the number line which makes our 0 increase to 1. You don't need to change the whole number at all.
can someone help me i'm having trouble with this
Answer: it should be D i hope this helped (if it did let me know)
what is the equation represented
Answer:
y=-8x-6, y=-4x, y=-2x+3, x=6
Step-by-step explanation:
y=mx+b
use that formula to make you're equations but remember m represents slope and b what is going up by
What two numbers multiply to 45 and add up to 14
Answer:
5 x 9 = 45 and 5+9= 14
Step-by-step explanation:
brainliest please
9(8 - x) = 3x
Will mark brainlest!
Answer: x = 6
Step-by-step explanation:
9(8 - x) = 3x
72 -9x = 3x
add 9x to both sides
72 = 12x
divide 72 by 12
x = 6