Answer:
x = [tex]\sqrt{120}[/tex] ≈ 10.95
Step-by-step explanation:
Use Pythagorean Theorem a²+b²=c²
6²-4²=a²
36-16=a²
a²=20
a=[tex]\sqrt{20}[/tex]
[tex]\sqrt{20[/tex]²+10²=c²
20+100=c²
c²=120
c= [tex]\sqrt{120}[/tex] ≈ 10.95
A girl and a puppy are 850 feet apart when they start running towards each other. The girl runs at a speed of 8 feet per second, and the puppy runs at a speed of 7 feet per second. How soon will they meet?
Answer:
time taken = 850/(8+7) =56.6 second
Answer:
The answer is: 56 2/3
Step-by-step explanation:
First add up the amount of feet they run all together every second. 8+7=15 feet/second. You have to find the total amount of seconds for them to meet so you divide. 850 divided 15 equals 56 2/3 seconds. That's your answer.
What is the approximate length of the minor arc XY?
A. 28.3 cm
B. 25.7 cm
C. 14.1 cm
D. 56.5 cm
Answer:
The central angle in radians is (60 / 57.29578)
equals 1.0471975512 radians
arc length = radius * central angle (radians)
arc length = 27 cm * 1.0471975512
arc length = 28.2743338823 =
28.3 cm (rounded)
Answer is A
Step-by-step explanation:
Answer:
the answer will be A. 28.3 I just did it
Correct answers only please!
To the nearest cent, how much interest will she earn in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
10.50 is the interest
Step-by-step explanation:
B = p(1 + r)^t
P = 50
r = .10
t = 2
B = 50(1 + .1)^2
= 50(1.1)^2
= 50(1.21)
= 60.5
But we want to know the interest and this is the balance
60.5- 50 = 10.5
The work of a student to solve 2(5y-2)=12+6y is shown below
Answer:y=4
Step-by-step explanation:
2(5y-2)=12+6y
10y-4=12+6y
4y-4=12
4y=16
y=4
the answer of 5n-2n simplify it please
Answer:
3n
Step-by-step explanation:
5n-2n=3n
Answer:
3n
Step-by-step explanation:
5n-2n=3n
Find the slope between:
(4, -1)
(-2,4)
Answer:
-5
----
6
Step-by-step explanation:
y2-y1
-------
x2-x1
-1-4 -5
------ = ---
4--2 6
~Anna
Your basketball team plays 5 games, your team scores 10 points in the first game, 3 points im the second game, 2 points in the third game. 5 points in the fourth game, and 0 points in the fifth game. what was the mean number of points your team scores for all 5 games
When you’re gathering the points you’re finding the mean, so what is the mean number ?
3 points , 4 points 5 points, or 10 points?
Que es un trinomio cuadrado perfecto?
Answer:
What is a perfect square trinomial (or possibly triangle).
Step-by-step explanation:
which of the following quadratic equations is solved correctly?
Answer:
Its D
Step-by-step explanation:
37 points! The square root of 83 can be plotted on the number line below.
Answer:
9.1 is the nearest tenth
9.11 to the nearest hundredth
just slightly to the right of 9.1
Step-by-step explanation:
sqrt(83)
sqrt(81) = 9
So we know that it is slightly greater than 9
9.1*9.1 =81.81
9.2*9.2=84.64
9.1 is closer
9.11 * 9.11 =82.9921
9.12 * 9.12 =83.1744
9.11 is closer
Answer:
9.1 is the nearest tenth
9.11 to the nearest hundred
to the right of 9.1
Step-by-step explanation:yi did it on i ready6
easy please help , check all that apply
Answer:
a b c d e f
Step-by-step explanation:
all good
At what coordinates was Anne the farthest away from home? Time in hours
Answer:
(3,8)
Step-by-step explanation:
In an elementary school, 25% of the 252 students ride a bus to school each day. How many students ride the bus?
Answer:
63
Step-by-step explanation:
Two different sports teams are doing fundraising to be able to afford their uniforms. The softball team needs to raise $318.12 between the twelve girls on the team. The hockey team needs to raise $391.92 between the 24 boys on the team. If each player raises the same amount of money, does each softball player or hockey player needs to raise more? How can estimation help you solve?
Answer:
The softball team needs to raise more money per person.
Step-by-step explanation:
To calculate what you need in each team you have to divide the money you need by the number of players in each team, because each one contributes an equal amount.
The softball team needs to raise $ 318.12 between the twelve girls on the team:
318.12 / 12 = 26.51
$ 26.51 each girl needs to contribute
The hockey team needs to raise $ 391.92 between the 24 boys on the team
391.92 / 24 = 16.33
$ 16.33 each boy needs to contribute
Therefore, the softball team needs to raise more money per person.
how to find area of a rectangular shape
Answer:
You multiply the length and the width to get the area.
Step-by-step explanation: For example if the length was 5 and the width was four the answer would be 20 because 5x4=20
PLZ HELLPPP
Triangular prism Base – height of 8 feet and base of 18 feet Height – 30 feet Rectangular prism Base – length of 30 feet and width of 18 feet Height – 15 feet How many cubic feet of space are in the house? ft3
Answer:10,260
Step-by-step explanation:I took the test
Answer:
60
Step-by-step explanation:
How long is DE?
Any help will be appreciated thank you
Answer: 4
Step-by-step explanation:
solve for the missing angle
the total degrees a triangle can have is 180 so
[tex]180-90-60=30[/tex]
use law of sines to solve for x
[tex]\frac{x}{sin30} =\frac{4\sqrt{3} }{sin60}[/tex]
cross multiply
[tex]sin60*x=4\sqrt{3} sin30[/tex]
divide by [tex]sin60[/tex]
[tex]x=\frac{4\sqrt{3}sin30 }{sin60}[/tex]
type into calculator with (ALPHA Y= for a fraction on TI-84) MAKE SURE IT IS IN DEGREES
Fiona draws a circle with a diameter of 14 meters. What is the area of Fiona’s circle?
Answer:
The area of the circle is [tex]153.94meters^2[/tex]
Step-by-step explanation:
The formula for the area of a circle is : [tex]\pi *radius^{2}[/tex]
To work this out you would first need to divide the diameter of 14 by 2, this gives you 7. This is in order for us to calculate the radius. The radius of a circle is the length from one side to the centre.
Now that we know the radius the next step is to multiply pi by the radius of 7 squared, this gives you 153.94. This is because in order for you to calculate the area you would substitute the values into the formula.
1) Divide 14 by 2.
[tex]14/2=7[/tex]
2) Multiply pi by 7 squared.
[tex]\pi *7^2=153.94 meters^2[/tex]
153.94 square meters is the area of the triangle.
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
The formula to calculate the area of a circle is A = πr², where A is the area and r is the radius of the circle.
Since the diameter is given as 14 meters, the radius can be calculated by dividing the diameter by 2:
r = d/2 = 14/2 = 7 meters
Now, we can substitute this value of radius into the formula for the area of a circle:
A = πr² = π(7)² = 49π square meters
Therefore, the area of Fiona's circle is 49π square meters (or approximately 153.94 square meters if π is approximated to 3.14).
Learn more about Area here:
https://brainly.com/question/27683633
#SPJ7
In triangle ABC, c is the hypotenuse, 0=25 degrees, and b=3
Find the length of c
Answer:
c approximately equals 3.31
Step-by-step explanation:
how far is the Moon from the Sun x 500
Answer:
About 150,000 kilometers
Find the volume of the figure
Answer:
450
Step-by-step explanation:
At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
Answer:
66?lol
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.
Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.
This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.
Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.
hope this helped i had this same question and i answered it
How would you find the area of this?
Write and solve the following problem
Please do it step by step!
4(x-9)-2x=-3x+14
sorry for the stupid answer my b
Answer:
X=-50
Step-by-step explanation:
4(x-9)-2x=3x+14
4x-36-2x=3x+14
2x-36=3x+14
-x-36=14
-x=50
-x divided by 50 makes the x postive & the 50 negative
calculate the area of this figure to the nearest tenth
Answer:
what is the figure my guy
Step-by-step explanation: blah blah blah math blah blah blah
How do the expressions 72 divided by 9 and -72 divided by (-9) compare when they are evaluated?
A. They have different values and are different signs.
B. They have different values but are the same sign.
C. They have the same value but are different signs.
D. They have the same value and the same sign.
Answer:
d
Step-by-step explanation:
I took the test
certain circle can be represented by the following equation.
x^2+y^2+18x+14y+105=0x
2
+y
2
+18x+14y+105=0x, squared, plus, y, squared, plus, 18, x, plus, 14, y, plus, 105, equals, 0
What is the center of this circle ?
((left parenthesis
,,comma
))right parenthesis
What is the radius of this circle ?
units
Answer:
Center of the circle is (-9, -7)
Radius of the circle = 5 units
Step-by-step explanation:
Given question is incomplete: here is the complete question.
Certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0.
What is the center of this circle ?
What is the radius of this circle ?
Since equation of the circle has been given by the equation,
x² + y² + 18x + 14y + 105 = 0
Now we will convert this equation to the standard form of the circle.
x² + 18x + y² + 14y = -105
[x² + 2(9)x] + [y² + 2(7)x] = -105
[x² + 2(9)x + 9²] + [y² + 2(7)y + 7²] = 9² + 7² - 105
(x + 9)² + (y + 7)² = 81 + 49 - 105
(x + 9)² + (y + 7)² = 25
(x + 9)² + (y + 7)² = 5²
By comparing this equation with the standard equation of the circle → (x - h)² + (y - k)² = r²
Center of the circle is (-9, -7) and radius of the circle is 5 units.
Answer:
(-4.8)
7 unit
i just did the test
Step-by-step explanation:
If B = 0 in a linear equation of the form Ax + By = C, then which statement is also true? A. The graph of this equation is a horizontal line. B. The graph of this equation is a vertical line. C. The graph of this equation is a slanted line. D. The graph of this equation can be any straight line.
Answer:
A) Its horizontal lineStep-by-step explanation:
Ax + By = C
so Ax + (0)y = C
a= c /x
its horizontal
Answer:
c
Step-by-step explanation:
Kari estimated the quotient of Negative 12 and one-fifth divided by 4 and two-fifths to be –8. Which best describes her error? Kari multiplied the compatible numbers –12 and 4. Kari found that the quotient of a negative number and a positive number is negative. Kari found that the quotient of a positive number and a negative number is positive. Kari added the compatible numbers –12 and 4.
Answer:
D. Kari added the compatible numbers –12 and 4.
Step-by-step explanation:
Our numbers are [tex]-12\frac{1}{5}[/tex] and [tex]4\frac{2}{5}[/tex]. We want to find Kari's error. Let's look through the answer choices and try them out:
A: "Kari multiplied the compatible numbers –12 and 4"
Well, if we multiply -12 by 4, we get -48, which is very different from -8, so A cannot be right.
B: "Kari found that the quotient of a negative number and a positive number is negative"
This is actually a true statement because whenever we multiply or divide a positive number and a negative number, the result is always negative. So, this isn't an error. B is wrong.
C: "Kari found that the quotient of a positive number and a negative number is positive"
If B is a true statement, C must be false - and that's right: it is false because the quotient of a positive number and a negative number is always negative not positive. Eliminate C.
D: "Kari added the compatible numbers –12 and 4"
What do we get if we add -12 and 4? We get: -12 + 4 = -8, which is exactly the number that Kari got. So instead of dividing, Kari accidentally added and got -8, which is the wrong answer. Thus, D is correct.
Answer:
Last one
Kari added the compatible numbers –12 and 4.
Step-by-step explanation:
-12⅕ ÷ 4⅖
-61/5 ÷ 22/5
-61/5 × 5/22
-61/22
She probably got -8 by adding -12 and 4
Find the surface area of the prism. Write your answer as a fraction or mixed number.
Answer:
The surface area of the prism is 8/3ft²
Step-by-step explanation:
To calculate the surface area of the prism we have to use the following formula:
a = area
w = side = 2/3 ft
h = height = 2/3 ft
l = length = 2/3 ft
a = 2 * (w * h) + 2 * (w * l) + 2 * (h * l)
we replace the values that we know
v = 2 * (2/3 ft * 2/3 ft) + 2 * (2/3 ft * 2/3 ft) + 2 * (2/3 ft * 2/3 ft)
v = 2 * 4/9ft² + 2 * 4/9ft² + 2 * 4/9ft²
v = 8/9ft² + 8/9ft² + 8/9ft²
v = 24/9ft²
v = 8/3ft²
The surface area of the prism is 8/3ft²
Answer:
2⅔ ft²
Step-by-step explanation:
A cube has 6 square faces
6 × (⅔)²
6 × 4/9
8/3
2⅔