Step-by-step explanation:
5√x+3 = -20
÷5. : √x+3 = -4
square: x+3 = 16
-3: x = 13
√x+18 -2 = x -4
+2 : √x+18 = x -2
square: x+18 = x^2 - 4x +4
-18: x = x^2 -4x -14
-x : 0 = x^2 -5x - 14
foil: (x- 7) (x+2) = 0
x = 7, -2
Expand.
Your answer should be a polynomial in standard form.
(7g+2)(5g+4)=
Answer:
35g^2 +38g +8
Step-by-step explanation:
(06.01)The probability that an event will occur is 95%. Which of these best describes the likelihood of the event occurring? Likely Certain Unlikely Impossible
Answer:
Likely
Step-by-step explanation:
The probability of occurrence of a certain event Given as 95% has a high probability figure and hence such event is LIKELY to occur. We cannot class this probability percentage as certain because, an event which is certain to occur who'll have a probability percentage of 100% or a value of 1. Therefore, a probability percentage of 95% occurrence still has 5% Chace of not happening, hence it is only very likely to occur. Hence, the phrase which best describes the probability of an event with 95% probability happening is LIKELY.
find the arc length of the bolder arc
A) 283.5 mi
C) 733.0 mi
B) 10.2 mi
D) 73.3 mi
Answer:
d its d :)
Step-by-step explanation:
i already did that
Some parents will drive 17 children to summer camp. Each parent can fit 4 children in a car.
What is the fewest number of parents needed to drive all the children?
Answer:
5
Step-by-step explanation:
A car uses 1 liter of gas every 12 kilometers. How many meters can the car travel on 3 liters of gas? 36 meters 3,600 meters 360 meters 36,000 meters
Answer:
36,000 meters. 12km= 12,000m multiply by 3l of gas.
Step-by-step explanation:
The car will travel 36000 meters using 3 liters of gas as per linear equation.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, 'A' is a coefficient and 'B' is constant".
Given, a car uses 1 liter of gas every 12 kilometers.
Therefore, using 3 liters of gas, the car will go
= 3 × 36 kilometers
= 36 kilometers
= 36000 meters
With 3 liters of gas, the car will travel 36000 meters.
Learn more about a linear equation here: https://brainly.com/question/18840245
#SPJ2
loolllllllll i neeeddd helpppp asapppppppp
8. A truck is carrying peach juice, pear juice,
and grape juice bottles in a ratio of 4:3:5. If
there are 76 peach juice bottles, then how many
pear juice bottles are there?
Answer:
57 pear juices
Step-by-step explanation:
because we know we have 76 peach juices and the ratio is 4, so we get 19. This means that 19=x. And then we multiply 19 by 3 and we get 57.
PLS HELP IVE BEEN ASKING FOR 4 HOURS NOT A SINGLE PERSON HAS BEEN RIGHT ITS PAST DUE :( JUST TROLLS I WILL GIVE BRAINLIEST JUST PLS HELP
Answer:
square on the side - 7
first square on top 3
last square 10
Step-by-step explanation:
Coach Miguel bought 3 identical soccer balls for his soccer team. After applying a $25.00 store gift card, his total was $13.97. Which equation can be used to calculate by the price of each soccer ball?
A 3b - 25 = 13.97
B. 3b + 25 = 13.97
C. 1/3b - 25 – 13.97
D. 1/3b + 25 = 13.97
Answer:
F the person that Post the question
Step-by-step explanation:
He said he couldn’t give me the answer because we went to different schools like who does that
Two parallel lines are cut by a transversal. What is the measure of 26?
A. 180°
B. 90°
C. 123°
D. 57°
Answer:
57
Step-by-step explanation:
1+2=180
123+2=180
2=180-123
2=57
2=6=57 ( because 2 and 6 are 2 isotopic angles)
A pioneer family travels for 30 hours at maximum speed in a covered wagon. Their neighbor walks 20 hours at a pace of 3 miles per hour. Which group traveled the greater distance?
Based on the data given in the table,
which is a reasonable estimate of
the download time of a 600-kilobyte
A 10 seconds
B 12 seconds
C 15 seconds
D 17 seconds
Answer:
C. 15 seconds
Step-by-step explanation:
It wouldn't be A, because 10 seconds can download 348 kilobytes, it wouldn't be B too as it would be at about 400+ kilobytes, the only possible answer is 15 seconds as the last option takes 17 seconds for 715 kilobytes.
Regular hexagon ABCDEF is inscribed in circle X and has an apothem that is 6√3 inches long. Use the length of the apothem to calculate the exact length of the radius and the perimeter of regular hexagon ABCDEF. In your final answer, include your calculations.
Answer:
Part A
[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]
Plugging in the given values we get;
[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]
R = 12 inches
The radius of the circumscribing circle is 12 inches
Part B
The length of each side of the hexagon, 's', is;
[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]
Therefore;
[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]
s = 12 inches
The perimeter, P = n × s = 6 × 12 = 72 inches
The perimeter of the hexagon is 72 inches
Step-by-step explanation:
The given parameters of the regular hexagon are;
The length of the apothem of the regular hexagon, a = 6·√3 inches
The relationship between the apothem, 'a', and the circumradius, 'R', is given as follows;
[tex]a = R \cdot cos \left(\dfrac{\pi}{n} \right)[/tex]
Where;
n = The number of sides of the regular polygon = 6 for a hexagon
'a = 6·√3 inches', and 'R' are the apothem and the circumradius respectively;
Part A
Therefore, we have;
[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]
Plugging in the values gives;
[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]
The circumradius, R = 12 inches
Part B
The length of each side of the hexagon, 's', is given as follows;
[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]
Therefore, we get;
[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]
The length of each side of the hexagon, s = 12 inches
The perimeter of the hexagon, P = n × s = 6 × 12 = 72 inches
The perimeter of the hexagon = 72 inches
Answer: radius = 12, perimeter = 72
Step-by-step explanation:
We know that in 30-60-90 right triangles, the hypotenuse is exactly twice the length of the short leg and the long leg is the short leg times √3.
so therefore, if the long leg (apothem) is equal to 6√3, the short leg is equal to 6
long leg = 6√3
long leg = short leg √3
short leg = 6
hypotenuse (radius) = 2(short leg)
hypotenuse (radius) = 2(6)
hypotenuse (radius) = 12
The radius of hexagon ABCDEF = 12 inches
Perimeter = r (sides)
Perimeter = r (6)
Perimeter = 12 (6)
Perimeter = 72
The perimeter of hexagon ABCDEF = 72 inches
4. MN has an equation of 2x - y = 3. Which of the following is the equation of a line
perpendicular to MN and passes through the point (4,3)?
A.
1
y = --X-5
2
C, y = -x-
2
B.
y = -2x-5
D. y = -x + 5
2
find the slope and y intercept form equation from the table
Answer:
y=x+5 or y=1x+5
Step-by-step explanation:
i hope this helps :)
Helpppp plssssss: ))))
Answer:
C
Step-by-step explanation:
Since its a filled in circle it also includes people that are 48 inches tall to ride.
1-point free throw 2-point field goal he made 35 shots he scored 62 points how many of each shot does he make in 1 minute write the two equations for the problem
Answer:
x + y = 35 equation 1
x + 2y = 62 equation 2
He made 8 1 point free throw
He made 27 2 point field goal
Step-by-step explanation:
let x = 1 point free throw
y = 2 point field goal
two equations can be derived from the question
x + y = 35 equation 1
x + 2y = 62 equation 2
Subtract equation 1 from 2
y = 27
Substitute for x in equation 1
x = 35 - 27 = 8
He made 8 1 point free throw
He made 27 2 point field goal
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
0.75
What is the equivalent fraction?
Answer:
=0.75
=3/4
=75%
Step-by-step explanation:
0.75 is 75% as a percentage,
And 3/4 as a fraction.
the area is approximately ___ square ft.
use 3.14 for pi
Answer:
200.96
Step-by-step explanation:
divide the diameter by 2, to get 8. then multiply 8 by 8 to get 64. 64×3.14 is 200.96
help plsssssss !!!!!!
Answer:
936
Step-by-step explanation:
(TUTORS WHERE R U?? KIDS NEED HELP LIKE ME!! ILL GIVE BRAINLYY)
Answer:
11. 10x^2 - 13x - 3
12. 5x^2 + 18x + 5
Step-by-step explanation:
11. Product means multiplication, so you can multiply (5x + 1) and (2x - 3).
[tex](5x + 1) * (2x - 3)[/tex] - Using the FOIL (First+Outer+Inner+Last)
So: [tex](5x*2x) + (5x*-3) + (1*2x) + (1*-3)\\10x^{2} -15x + 2x -3\\10x^{2} -13x -3[/tex]
12. [tex]3x^{2} + 8x - 1 + 2(x^{2} +5x + 3)[/tex] (So, you distribute the 2 to x^2 + 5x + 30, then combine like terms).
[tex]3x^{2} + 8x - 1 + 2(x^{2} +5x + 3)\\3x^{2} + 8x - 1 + 2x^{2} +10x + 6\\(3x^{2} +2x^{2}) + (8x + 10x) + (-1+6)\\5x^{2} + 18x + 5[/tex]
Hopefully, this helped you. Good luck & have a good day!
3-108. Write an equation and find the answer for each of the following problems. Give answers in decimal form. Homework Help a. What is the product of three tenths and four hundredths?
Grade low in math help if you can :) Geometry
Lauren wants to build a model airplane using a scale where 2 inches represents 15 feet. If the airplane is 75 feet long, how long should the model be?
A.
5 inches
B.
7.5 inches
C.
10 inches
D.
15 inches
Answer:
C) 10 inches
Step-by-step explanation:
I think the simplest way to do this is as follows:
divide 75 by 15 to get how many times you need to multiply 2in by
75/15=5
since 15(5)=75 or the actual size of the airplane,
2(5)=10 which is the size of the model airplane
Cups by the water cooler are in the shape of a cone. The height is 15 cm and the diameter is 7.6 cm.
What is the volume of one water cooler cup, in cubic centimeters? (Use 3.14 for
π.)
Answer:
226.7 cm³
Step-by-step explanation:
The cone volume formula is V = (1/3)(base area)(height).
Here that comes out to V = (1/3)(pi)(3.8 cm)^2·15 cm, or 226.7 cm³
HELP I MARK BRAIN thing
Answer:
It would be A. x < 6
Step-by-step explanation:
The number line shows it is less than six with a closed circle and the arrow pointing towards the left of it
Write 3.1415×106 in standard notation
Answer:
332.999
Step-by-step explanation:
juice wrld
If θ is an angle in standard position and its terminal side passes through the point (21,-20), find the exact value of \cot\thetacotθ in simplest radical form.
The exact value of the cotangent of theta in simplest radical form is -21/20.
What is the simplest radical form?
The simplest radical form is the expression of a radical without any factors inside the radical that can be further simplified.
To find the exact value of cotangent of theta, we need to find the values of cosine and sine of theta first.
Given that the terminal side of the angle passes through the point (21,-20), we can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the angle and the x and y-axes:
[tex]h = \sqrt{(21^2 + (-20)^2)} = \sqrt{(841 + 400)} = \sqrt{(1241)}[/tex]
Then, we can find the values of cosine and sine of theta using the x and y-coordinates of the point:
cos(theta) = adjacent/hypotenuse = 21/sqrt(1241)
sin(theta) = opposite/hypotenuse = -20/sqrt(1241)
Now we can find the value of cotangent of theta:
cot(theta) = cos(theta) / sin(theta) = (21/sqrt(1241)) / (-20/sqrt(1241))
= -21/20
Therefore, the exact value of the cotangent of theta in simplest radical form is -21/20.
To learn more about the simplest radical form, visit:
https://brainly.com/question/565192
#SPJ1
SOMEBODY HELP ME PLEASE
Answer:
90
Step-by-step explanation:
9*6=54
54*5= 270
270/3=90
Find the distance between the pair of points (6. - 22) and (1. - 23) The distance is
Which list of numbers is ordered from greatest to least?
A. –2 1/5, 2 1/4, 2.23, –2
B. 2 1/4, 2.23, –2, –2 1/5
C. –2, –2 1/5, 2 1/4, 2.23
D. –2 1/5, –2, 2.23, 2 1/4
Answer: B
Step-by-step explanation:
2 1/4 in decimal form: 2.25
-2 1/5 in decimal form: 2.20
B converted into decimals: 2.25, 2.23, -2, -2.20