Step-by-step explanation:
Using the equation [tex]a^{2} + b^{2} = c^{2}[/tex]
so [tex]a^{2} = 35[/tex] and [tex]b^{2} =50[/tex]
[tex]a^{2} + b^{2} = 85^{2}[/tex]
Answer:
85 units²
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
The hypotenuse is the side opposite the right angle ( third side ) , then
area = 35 + 50 = 85 units²
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n)=6+(n-1)(1/5)
Answer: a’(n)=1/5
Step-by-step explanation:
The first term is 6, the fourth term is 6.6, and the tenth term is 7.8 in the arithmetic sequence.
What is an arithmetic sequence?An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.
The given rule for the arithmetic sequence is:
A(n) = 6 + (n - 1)(1/5)
To find the first term, substitute n = 1 in the formula:
A(1) = 6 + (1 - 1)(1/5)
A(1) = 6 + 0
A(1) = 6
Therefore, the first term of the arithmetic sequence is 6.
To find the fourth term, substitute n = 4 in the formula:
A(4) = 6 + (4 - 1)(1/5)
A(4) = 6 + 3/5
A(4) = 6.6
Therefore, the fourth term of the arithmetic sequence is 6.6.
To find the tenth term, substitute n = 10 in the formula:
A(10) = 6 + (10 - 1)(1/5)
A(10) = 6 + 9/5
A(10) = 7.8
Therefore, the tenth term of the arithmetic sequence is 7.8.
Learn more about arithmetic sequence here:
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what is f(-1) for the function given?
f(x)=x^2-3x+8
Answer: 12
Work is provided in the image I attached
2.5x=5 step to slove
GIVING BRAINLIEST -23 points-
URGENT HELP ME PLEASE!!!
Answer:
See a sides are equal so your answer is 8.2 in.
Item 7
Michael arrives at the basketball court at 5:52 p.m. He plays basketball for 1 hour 12 minutes.
What time does Michael stop playing basketball?
6:04 p.m.
7:02 p.m.
7:04 p.m.
7:12 p.m.
Answer:
he stops playing at 7:04
Step-by-step explanation:
Giving Brainliest for best answer! Please Don't Troll
Plz help asap!! 15 pts
The length of each side of an equilateral triangle is increased by 5 inches, so the perimeter is now 60 inches. Write and solve an equation to find the original length of each side of the equilateral triangle.
Can anyone explain how to do this?
Answer:
pythagorean theorem
Step-by-step explanation:
square both of them and then add them together and finally take the square root of that number
i believe in you
Answer:
32.0087878558 units
Step-by-step explanation:
Let the Triangle be ABC
By Pythagoras Theorem:
(BC)² = (AB)² + (AC)²
(BC)² = 13² + 29.25²
(BC)² = 169 + 855.5625
(BC)² = 1024.5625
BC = √1024.5625
BC = 32.0087878558
Therefore, x = 32.0087878558
HOPE IT HELPS
Two trains start from Fort Worth traveling at the same speed. The trip for Train W takes 20 hours, while the trip for Train Z takes 25 hours. If the city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to, how far will Train Z travel in total to reach its destination?
Answer:
= x/20=x+400/25
Distance traveled by Train W = 1600 miles
Distance traveled by Train Z = 2,000 miles
Step-by-step explanation:
Time taken for Train W to complete a trip = 20 hours
Time taken for Train Z to complete a trip = 25 hours
The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.
both trains have same speeds and start from same location.
To find the distance in total each train travels.
Solution:
Let length of the trip of Train W be = xx miles
Speed of Train W can be given as :
⇒ \frac{Distance}{Time}
Time
Distance
⇒ \frac{x}{20}\ miles/h
20
x
miles/h
So, the length of the trip of Train Z will be = (x+400)(x+400) miles
Speed of Train Z can be given as :
⇒ \frac{Distance}{Time}
Time
Distance
⇒ \frac{x+400}{25}\ miles/h
25
x+400
miles/h
Since the speeds are same, so the equation to find xx can be given as:
⇒ \frac{x}{20}=\frac{x+400}{25}
20
x
=
25
x+400
Solving for xx
Multiplying both sides by 100 to remove fractions.
⇒ 100\times \frac{x}{20}=100\times \frac{x+400}{25}100×
20
x
=100×
25
x+400
⇒ 5x=4(x+400)5x=4(x+400)
Using distribution.
⇒ 5x=4x+16005x=4x+1600
Subtracting both sides by 4x4x
⇒ 5x-4x=4x-4x+16005x−4x=4x−4x+1600
⇒ x=1600x=1600
Thus, Distance traveled by Train W = 1600 miles
Distance traveled by Train Z = 1600+4001600+400 = 2,000 miles
imagine paying attention in class
Ram is 20 years older than Sam. In 5 years, Ram will be twice old as Sam .Find their present ages.
Answer:
Sam is 15 years old and Ram is 35.
in five years Sam will be 20 and Ram will be 40, which is twice as old in age.
How do you find the slope from a equation
Answer:
For example the equation is y=3x+4 ... the slope would be 3
It's the number coming before the x variable
In which set are all fractions equivalent to negative 2/3?
{ 2/−3, −2/−3, −9/12}
{ 2/−3 ,−2/3, −8/12}
{ 2/−3, −2/3, −9/12}
{2/−3 ,−2/−3, −8/12}
Answer:
what's your grade 8m grade cod
Answer:
i think negative is 2
Step-by-step explanation:
I think, because i dont really understand your question :(
what is the volume of the cube shown?
Answer:
11 25/64
Step-by-step explanation:
you do 2 1/4 times itself 3 times.
Find the given Value w(t) = 12t - 1;t = 1/3
Answer:
[tex]w(t) = 12t - 1 \\ when \: t \: = \frac{1}{3} \\ w( \frac{1}{3} ) = 12( \frac{1}{3} ) - 1 \\ w( \frac{1}{3} ) = 3[/tex]
if 1 in = 2.54 cm, then 1 ft = cm ?
A 32.16
B 24.68
C 30.48
D 28.48
What is the area of the square?
What’s the area of the circle
Answer:
Square: 144 m²
Circle: 113.04 m²
Step-by-step explanation:
The formula for area of a square: side × side.
The formula for area of a circle: r²π (radius × radius × pi)
**SQUARES HAVE EQUAL SIDES**
As shown in the photo, the side lengths of the square are 12.
side × side
12 × 12 = 144
Therefore, 144 m² is the area of the square.
-------------------------------------------------------------------------------------------------------------
The diameter of the circle is 12 as well.
But, to find the area of the circle, we need the radius.
To find the radius of a circle, divide the diameter by 2.
12 ÷ 2 = 6.
6 is the radius.
Now we plug the numbers into the equation.
**3.14 IS A SUBSTITUTE FOR PI**
r²π (radius × radius × pi)
6²π (6 × 6 × 3.14) = 113.04
Therefore, 113.04 m² is the area of the circle.
Answer:
the person above me is correct
Step-by-step explanation:
Factor: 4x2 + 4x
Expand: -(x – 3)
Find the GCF.
[tex]gcf = 4x[/tex]
Factor out the GCF.
[tex]4x( \frac{4 {x}^{2} }{4x} + \frac{ {4x} }{4x} )[/tex]
Simplify each term in parentheses.
[tex]4x(x + 1)[/tex]
Hence, the answer is 4x(x + 1).
Question: Expand: -(x - 3)Remove parentheses.
[tex] - x + 3[/tex]
Regroup terms.
[tex]3 - x[/tex]
Therefor, the answer is 3 - x.
What is the diameter of a cone with height 8 m and volume 150 pi m3 ?
A. 7.5 m
B. 5V3 m
o C. 7.573 m
D. 15 m
Answer:
V = pi*r^2*h
V = 150 m^3
h = 8 m
150 = pi*r^2*8
Solve for r (the radius) then multiply by 2 to obtain the diameter.Only, this is a cone, not a cylinder.
V = 1/3 pi r^2 h
Diameter of the cone is 15 m. So, option D is correct.
What is meant by solid shape ?Solid shapes are defined as the three-dimensional objects that are described by the three dimensions length, breadth and height.
Here,
Volume of the cone is given by,
V = 150[tex]\pi[/tex] m³
Height of the cone, h = 8 m
We know, the equation for the volume of a cone is,
V = 1/3[tex]\pi[/tex]r²h
where r is the radius and h is the height of the cone.
So,
(1/3) [tex]\pi[/tex]r²h = 150[tex]\pi[/tex]
r²x 8 = 3 x 150 = 450
r² = 450/8
r² = 56.25
r = 7.5 m
Therefore, diameter of the cone,
d = 2r
d = 2 x 7.5
d = 15 m
Hence,
Diameter of the cone is 15 m.
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All of the following solid figures except____
have two congruent, parallel bases.
cube
cylinder
rectangular pyramid
heptagonal prism
Solve the problem below. Math
Answer:
1.how much did he spend in both stores?
2.how much he has left?
3. 65,85
4. first of all you find how much he spend and then how much he has left.
5. 21,15
Unit 4, Lesson 4 Cool-down 4.4 Mis-Steps
Lin solved the equation 8( x - 3 ) + 7 = 2x( 4 - 17 ) incorrectly.
Find the errors in her solution. What should her answer have been?
Lin's solution:
8( x - 3 ) + 7 = 2x( 4 - 17 )
8( x - 3 ) + 7 = 2x(13 )
8x - 24 + 7 = 26x
8x - 17 = 26x
-17 = 34x
-½ = x
ANSWER ASAP NO LINKS WILL GIVE BRAINLIEST
a place from this table is chosen at random let event 4= the place is a city what is p(a^c)
a 3/7
b 4/7
c 2/7
d 5/7
Answer:
A
Step-by-step explanation:
Jing participates in a trivia contest. He completes each question in 1/2 minute.
How long does it take for Jing to complete 10 questions? 300 seconds 600 seconds 660 seconds 1,200 seconds
Answer:
300 seconds
Step-by-step explanation:
First, you have to know how much half a minute is. Half a minute is 30 seconds.
Second, you multiply 30 by 10 because he answered 10 questions.
30 * 10 = 300
So your answer is 300 seconds
Lastly, have a great day! :)
A company is designing a new cylindrical water
bottle. The volume of the bottle will be 120 cm3.
The height of the water bottle is 8.9 cm. What is
the radius of the water bottle?
Answer:
2.07
Step-by-step explanation:
Howdy!
I remember this from a while ago. they had us memorize a bunch of useless formulas which I still seem to remember the formula is:
[tex]r=\sqrt{\frac{v}{\pi h} }[/tex]
volume divided by pi*height. then you square root all of that
3.14*8.9= 27.946
120/27.946=
4.29 the square root of 4.29 is 2.07 because the square root of 4=2 and the square root of 29=7 (.07)
so 2.07 is your answer!
Is the relationship linear,exponential, or neither ?
ANSWER:
B
Step-by-step explanation:
A holiday park is digging a swimming pool.
The volume of earth to be removed is 120m^3.
A mechanical digger can remove 0.15m^3 of earth with each scoop.
a) How many scoops will be needed to remove all the earth?
Please it’s urgent!
who is correct
please answer ASAP!!! pls (:
Answer:Dwight is correct
Step-by-step explanation:
Condense the expression to a single logarithm. 3 log subscript 5 10 - 12 log subscript 5 7
Answer:
A is correct
Step-by-step explanation:
Mathematically from logarithmic laws, we have it that;
x log a = log a^x
and also;
log a - log b = log (a/b)
So we have;
log 5 10^3 - log 5 7^12
and finally log 5 (10^3/7^12)
What is the slope of the line that passes through the points (6,4) and (-3,- 7)?