Answer:
Step-by-step explanation:
A [tex]45^\circ - 45^\circ - 90^\circ[/tex] triangle is special -- it's a square cut in half diagonally.
The legs (sides that form the 90 degree angle) are both equal.
The hypotenuse is the leg multiplied by the square root of 2.
[tex]\text{hypotenuse}=\text{side}\sqrt{2}[/tex]
So [tex]x=24\sqrt{2} \approx 33.9[/tex]
Jessica ran on the track team at her school. She finished the 200-meter race in 54 seconds. What was jessica's average speed,in meters per second,for the 200-meter race?
Answer:
[tex] v =\frac{x}{t}[/tex]
Where x represent the distance and t the time if we replace the info given we got:
[tex] v = \frac{200m}{54 s} =3.704 \frac{m}{s}[/tex]
Then the average speed for this case in m/s is 3.704 for the 200 meter race
Step-by-step explanation:
The problem provides for this case the amount of distance travelled by Jessica in a given time. And we know that travels 200m in 54 seconds.
We want to find the average speed and we can use the following formula:
[tex] v =\frac{x}{t}[/tex]
Where x represent the distance and t the time if we replace the info given we got:
[tex] v = \frac{200m}{54 s} =3.704 \frac{m}{s}[/tex]
Then the average speed for this case in m/s is 3.704 for the 200 meter race
Answer:
i think 69
Step-by-step explanation:
c(1)=-20 c(n)=c(n-1)+10 find second term
Answer:
c(2) = -10
Step-by-step explanation:
c(1)=-20
c(n)=c(n-1)+10
Let n = 2 since n indicates the term number
c(2)=c(2-1)+10
= c(1) +10
= -20+10
= -10
Find the area of the triangle. Pls help!
Answer:
84 mm^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 b *h
The base is 14 and the height is 12
A = 1/2 (14*12)
A = 84 mm ^2
Area of a triangle formula: A = 1/2bh
Solve using the values given in the picture.
A = 1/2(14)(12)
A = 1/2(168)
A = 84
Therefore, the volume of the triangle is 84mm²
Best of Luck!
A square with sides X ft long has a perimeter of 34.2 How long are the sides of the square?
Answer:
Each side is 8.55
Step-by-step explanation:
The perimeter of a square is given by
P =4s
34.2 = 4s
Divide each side by 4
34.2 /4 = 4s/4
8.55 = s
Each side is 8.55
Answer:
Each side is 8.55Step-by-step explanation:
[tex]perimeter \: = x + x + x + x \\ 34.2 = 4x \\ \frac{34.2}{4} = \frac{4x}{4} \\ x = 8.55[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The number of cameras produces since May at a plant can be modeled by the function N(m)=50m+600 and the cost per camera can be modeled by C(m)=4m^2-15m+45, where m is the number of months since May. According to this model, what is the total amount of revenue generated by the plant's camera production on September?
Answer:
39200
Step-by-step explanation:
Revenue = number of cameras * cost
R(m) = N(m) * C(m)
= (50m+600) * (4m^2-15m+45)
The months since may is June July August September = 4 months
R(4) = (50*4+600) * (4*4^2-15*4+45)
(200+600) * (64-60+45)
800*49
39200
Answer:
39,200
Step-by-step explanation:
September is 4 months after may, so m = 4
No. of cameras:
N(4)=50(4)+600 = 800
Cost per camera:
C(4)=4(4²)-15(4)+45 = 49
Total cost:
N × C
800 × 49
39200
Which of the following situations is not an example of financial responsibility? Select all that apply.
(there is more than one answer)
A.pay with cash instead of a credit card
B.making payments on time
C.not sticking to a set budget
D.spending all of your paycheck
E.using coupons when you can
Answer:
C.not sticking to a set budget
D.spending all of your paycheck
Step-by-step explanation:
The situations which are not an example of financial responsibility are C. not sticking to a set budget and D. spending all of your paychecks.
Given are some situations in the options.
It is required to find those which are included in the financial responsibility.
Financial responsibility can be defined as the responsibility of a person who uses finances responsibly without spending too much or dealing with finance carelessly.
A) pay with cash instead of a credit card
This is something a responsible person does, who will not use a credit card until urgency came.
B) making payments on time
A financially responsible person will make payments on time. I not, the person will be affected by future bulk payments which will be very difficult then.
C) not sticking to a set budget
A financially irresponsible person will not stick to a budget and spends so much carelessly.
D) spending all of your paycheck
If a person is financially responsible, the person will not spend ll paychecks, since some will go to savings.
E) using coupons when you can
Using coupons when you can is a good thing in the case of finance since it will save money.
Hence the correct options are C and D.
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Help with this plzzzzzzzzzzzzzz
Answer: [tex]4^0[/tex]
Step-by-step explanation:
[tex]4^5*4^-^7/4^-^2[/tex]
Rewriting this;
[tex]\frac{4^5*4^-^7}{4^-^2}[/tex]
When you multiply by the same base, you add exponents.
[tex]\frac{4^5^+^(^-^7^)}{4^-^2}[/tex]
[tex]\frac{4^5^-^7}{4^-^2}[/tex]
[tex]\frac{4^-^2}{4^-^2}[/tex]
When you divide by the same base, you subtract exponents.
[tex]4^-^2^-^(^-^2^)[/tex]
[tex]4^-^2^+^2\\4^0[/tex]
Denise and Jacqueline are training for a swimming and running race.
• Jacqueline swims for 30 minutes. Then she runs 3.2 miles at a constant
pace. Her total training time is 54 minutes. • Denise swims for 24 minutes.
She runs at a constant pace of 8 minutes per mile. Her goal is to train for at
least 60 minutes. *
Part A: Write an equation or inequality to represent the pace, in minutes per mile, that Jacqueline
runs. Define all variables used. At what pace, in minutes per mile, does Jacqueline run? Show your
work. Respond in the space provided.
Answer:
Jacqueline runs at 6.25 minutes per mile
Step-by-step explanation:
Here we have that the total training time for Jacqueline = 54 minutes
The time for which Jacqueline swims = 30 minutes
Therefore, the time in which Jacqueline runs = 54 min. - 30 min. = 20 minutes
Therefore the equation for Jacqueline's speed = Distance/Time we have
Jacqueline's pace = 3.2 miles/20 minutes = 0.16 miles/minute
Therefore Jacqueline's pace = 0.16 miles/minute
The equation for Jacqueline's pace in miles/minute is presented as follows
Jacqueline's pace in miles/minute = Time of running/Distance
Jacqueline's pace in miles/minute = 1/0.16 miles/minute = 6.25 minutes/mile.
Is a percent increase for 50 to 70 = to the percent decrease from 70 to50
Answer:
no it is not.
Step-by-step explanation:
%increase = 40% while %loss = about 28.6%
Ashley has a right triangular Garden in her backyard the longest side of the garden measures 17 yards one of the sizes 10 yards long find the length of the other side of the garden
Answer....
The answer should be 13.74 yards.
We must apply the pythagorean theorem to solve.
C is the hypotenuse aka the longest side.
Formula: a^2 + b^2 = c^2
a^2 + 10^2 = 17^2
a^2 + 100 = 289
Subtract 100 from both sides.
a^2 = 189
Square root of 189 is approximately 13.74.
What is the area of this composite figure?
Answer:
80
Step-by-step explanation:
There are 7 yellow, 6 blue, 9 red, and 3 green ribbons in a drawer. Once a ribbon is selected, it is not replaced. Find each probability.
P(a yellow ribbon and then a blue ribbon)
P(a yellow ribbon and then a blue ribbon)
a. 7/100
b. 42/635
c. 7/120
d. 7/125
Answer:
7/100
Step-by-step explanation:
7 yellow, 6 blue, 9 red, and 3 green ribbons in a drawer
Total ribbons = 25 ribbons
P( yellow) = yellow / total = 7/25
Then not replaced
6 yellow, 6 blue, 9 red, and 3 green ribbons in a drawer
Total ribbons = 24 ribbons
P( blue) = blue / total = 6/24 = 1/4
P(a yellow ribbon and then a blue ribbon) = 7/25 * 1/4 =7/100
Answer:
A: [tex]\frac{7}{100}[/tex]
Step-by-step explanation:
There are 25 ribbons total. The probability would be out of the 25 ribbons.
(1):
Yellow: [tex]\frac{7}{25}[/tex]
Blue:[tex]\frac{6}{25}[/tex]
Red:[tex]\frac{9}{25\\}[/tex]
Green:[tex]\frac{3}{25}[/tex]
When removing a ribbon that can't be replace, it'll leave you with a total of 24 ribbons.
(2):
Yellow: [tex]\frac{6}{24}=\frac{1}{4}[/tex]
Blue: [tex]\frac{5}{24}[/tex]
Red:[tex]\frac{8}{24}=\frac{1}{3}[/tex]
Green:[tex]\frac{2}{24}=\frac{1}{12}[/tex]
Multiply {(1) × (2)}:
Yellow:[tex]\frac{7}{25}[/tex] ×[tex]\frac{6}{24}[/tex] = [tex]\frac{7}{100}[/tex]
Blue:[tex]\frac{6}{25}[/tex] × [tex]\frac{5}{24}[/tex] = [tex]\frac{1}{20}[/tex]
Mr. Williams paid $1,250 in cash for a new television set. If he had bought it using the store's payment plan, he would have had to pay a deposit of $350 and 9 monthly installments of $150. How much money did he save by paying in cash?
Answer:
$450
Step-by-step explanation:
Mr. william's paid $1250 in cash for a new television set. But if he was to use the store's deposit plan, he will have to make some installmental payment after paying an initial deposit.
Initial deposit = $350
Installmental payments of $150 for 9months.
His total payment will be = Initial payment + the total amount of the installmental payment.
$350 + (9 x $150) = $350 + 1350 = $1700
$1700 - $1250 = $450 savings
By paying in cash he will be saving an amount of $450.
Find the surface area of the prism.
Answer:
136 m²
Step-by-step explanation:
A = bh + 2ls + lb
A = (6)(4) + 2(7)(5) + (7)(6)
↓
24 + 70 + 42
↓
136
Answer:
129 m²
Step-by-step explanation:
2 traingles + 3 rectangles
2(½×6×4) + 3(5×7)
24 + 105
129 m²
Multiply the (9c^6) (3c^6)=
Answer:
27 c to the power of 12
Step-by-step explanation:
Answer:
The answer is 27c¹² .
Step-by-step explanation:
You have to use Indices Law,
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
So for this question :
[tex] 9{c}^{6} \times 3 {c}^{6} [/tex]
[tex] = (9 \times 3) {c}^{(6 + 6)} [/tex]
[tex] = 27 {c}^{12} [/tex]
Find ten rational numbers between -2/5 and 1/2
Answer:
-1/3, -1/4, -3/10, -1/8, -1/16, 1/3, 1/4, 3/10, 1/8, 2/5.
Step-by-step explanation:
-2/5 is -0.4 and 1/2 is 0.5
Ten rational numbers in between are, -0.33333 (-1/3), -0.25 (-1/4), -0.3 (-3/10), -0.125 (-1/8), -0.0625 (-1/16), 0.33333 (1/3), 0.25 (1/4), 0.3 (3/10), 0.125 (1/8), 0.4 (2/5)
graph equation y-5=-5(x-1)
Answer:
your slope intercept form is y=-5x+6
Step-by-step explanation:
you distribute the -5 and then you add 5 to your now positive 5 to isolate your y variable
then once you have the equation you start at your y-intercept (0,6) and then you go up and or down 5 then you move to the left one because you have a negative slope
He volume V (in cubic feet) of a right cylinder with a height of 5 feet and radius r (in feet) is given by V=5πr2. Solve the formula for r. Then find the radius of the cylinder when the volume is 770 cubic feet. Round your answer to the whole number.
Answer:
[tex] 770 = 5\pi r^2[/tex]
If we divide both sides by [tex] 5\pi[/tex] we got:
[tex] \frac{770}{5\pi} = r^2 [/tex]
And taking square root we got:
[tex] r = \sqrt{\frac{770}{5\pi}}= 7.001 ft[/tex]
And rounded to the nearest whole number we got 7 ft
Step-by-step explanation:
For this case we know that the hieght of a right cylinder is 5 ft and the volume is given by:
[tex] V = 5 \pi r^2 [/tex]
And we know that the volume [tex] V = 770 ft^3[/tex] and we want to solve for r so we can set up the following equation:
[tex] 770 = 5\pi r^2[/tex]
If we divide both sides by [tex] 5\pi[/tex] we got:
[tex] \frac{770}{5\pi} = r^2 [/tex]
And taking square root we got:
[tex] r = \sqrt{\frac{770}{5\pi}}= 7.001 ft[/tex]
And rounded to the nearest whole number we got 7 ft
Today, there were 2 members absent from the band. The present members folded 25 programs each, for a total of 525 programs. How many members are in the band when no one is absent…
Answer:
23
Step-by-step explanation:
225/25 = 21
21+2=23
Answer:
How many members are in the band when no one is absent?
the answer is c if you are refering to the khan academy question
Step-by-step explanation:
its from khan academy
How to expand (x+3)( x-2), using the F.O.I.L method?
Answer:
x^2+x-6
Step-by-step explanation:
If you follow the picture in the respective order of FOIL you should get this answer.
solve for x using the master product.
2x^2 + 7x – 9 = 0
Answer:
x = - 4.5, and x = 1
Step-by-step explanation:
~ Let us solve for x through factorization, but first change the equation to an expression for the simplicity ~
1. First break this expression into groups ⇒ ( 2x^2 - 2x ) + ( 9x - 9 )
2. Now factor 2x from 2x^2 - 2x ⇒ 2x ( x - 1 )
3. Now factor 9 from 9x - 9 ⇒ 9 ( x - 1 )
3. Combine these factored expressions ⇒ 2x ( x - 1 ) + 9 ( x - 1 )
4. Factor out common term x - 1 ⇒ ( 2x + 9 )( x - 1 )
5. Now add 0 to this expression as provided in the start: ( 2x + 9 )( x - 1 ) = 0
6. And now we recieve two answers, calculated through zero product property ⇒ 2x + 9 = 0 and x - 1 = 0, ⇒ 2x = - 9 and x = 1 ⇒
x = - 4.5, and x = 1
The solution of the given expression would be as x = - 4.5, and x = 1.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
First we have to break this expression into groups
[tex]( 2x^2 - 2x ) + ( 9x - 9 )[/tex]
Now factor 2x
2x ( x - 1 )
Now factor 9 from 9x
9 ( x - 1 )
Combine these factored expressions as;
2x ( x - 1 ) + 9 ( x - 1 )
Then Factor out common term;
( 2x + 9 )( x - 1 )
Then add 0 to this expression as provided in the start;
( 2x + 9 )( x - 1 ) = 0
By zero product property
2x + 9 = 0 and x - 1 = 0,
⇒ 2x = - 9 and x = 1
x = - 4.5, and x = 1
The solution of the given expression would be as x = - 4.5, and x = 1.
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4,250,000 written in word form
Answer: four million two hundred fifty thousand.
Step-by-step explanation:
what’s the answer for this question
Answer:
1pi or approximately 3.14
area of a Circle is: (pi)(r)^2
so of you plug the formula in for this equation you get
(pi)(1)^2= 1pi or approximately 3.14 which ever your teacher prefers.
Find the area of the composite figure.
a.) 364 sq ft
b.) 796 sq ft
c.) 800 sq ft
d.) 980 sq ft
Answer:
B. 796 sq ft
Step-by-step explanation:
All of these shapes are rectangles.
The formula for the area of a triangle is length x width.
Dining Room
26 x 14 = 364
Bedroom
14 x 8 = 112
Enclosed Porch
20 x 16 = 320
Then you add all of the products.
364 + 112 = 476
476 + 320 = 796
Consider circle Y with radius 3 m and central angle XYZ measuring 70°.
Circle Y is shown. Line segments Y Z and Y X are radii with lengths of 3 meters. Angle Z Y X is 70 degrees.
What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.
1.8 meters
3.7 meters
15.2 meters
18.8 meters
Answer:
3.7
Step-by-step explanation:
The lenght of an arc with a radius of 3m and substended angle of 70 degrees is 3.7meters
How to calculate the length of an arcThe length of an arc is expressed as:
L = r theta
Given the following parameters
r = 3m
theta = 70 degrees = 70π/180
L = 3(70π/180)
L = 3.7 metres
Hence the lenght of an arc is 3.7meters
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Which number is a perfect square 249, 265, or 324?
Answer:
324
Step-by-step explanation:
A number is a perfect square when there are two factors that are identical to one another. 324 is a perfect square since its two identical factors are 18 and 18.
Answer:
324
Step-by-step explanation:
18*18. Hope that helped, vote, thanks, brainliest ;)
Have a great day!
In a school, 25 % of the teachers teach basic math. If there are 50 basic math teachers, how many teachers are there in the
school?
Answer:
200 teachers
Step-by-step explanation:
Let t= teachers
t * 25% = basic math teachers
t *.25 = 50
Divide each side by .25
.25t/.25 = 50/.25
t =200
Answer:
200
Step-by-step explanation:
The 50 basic math teachers are 25% of all the teachers of the school.
You can use a proportion.
50 is to 25% as x is to 100%
50/25 = x/100
10/5 = x/100
5x = 100 * 10
5x = 1000
x = 200
There are 200 teachers.
What is the distance between (2,4) and (5,-2)
Answer:
my answer is 3√ 5
Answer:
-3
Step-by-step explanation:
Here is the formula for this one: (x 2- x 1) + (y 2- y 1).
Hope this helps.
Secant TP and tangent TR intersect at point T Chord SR and chord PO intersect
at point V. Find the values of x and y. If necessary, round to the nearest tenth.
A
x=2
y=4
B. x= 11.6
y = 11.6
C.
X = 11.6
y = 232
D. x = 18.3
y=36.6
Answer:
(C)x=11.6, y=23.2
Step-by-step explanation:
Using Theorem of Intersecting Secant and Tangent
[tex]TQ$ X TP=TR^2[/tex]
[tex]10(10+x+4)=16^2\\10(14+x)=256\\140+10x=256\\10x=256-140\\10x=116\\$Divide both sides by 10\\x=11.6[/tex]
Next, we apply Theorem of Intersecting Chords
PV X VQ=SV X VR
4 X x= 2 X y
Recall: x=11.6
2y=4 X 11.6
2y=46.4
y=46.4/2=23.2
Therefore: x=11.6, y=23.2
The correct option is C
x sqaure - 3x + x = ? wats the answer
Answer:
the simplified answer is,
x^2 - 3x + x = x^2 -2x