Answer:
108 minutes
Step-by-step explanation:
Take 24 and divide by 4; you get 6;
Multiply 18 by 6; you get 108;
It will take Brade 108 minutes to run 18 miles
Find the measure of the indicated angle.
Answer:
∠? = 76°
Step-by-step explanation:
The two lines on the sides of the triangle indicate that this is an isosceles triangle. An isosceles triangle has 2 congruent sides and one side that is different. The same goes for its angles. The angle opposite to these same sides are also the same. So if one angle = 76°, then ∠? = 76° as well.
Hope this helps! Best of luck <3
help please summer school sucks!!!
Answer:
X =30
Step-by-step explanation:
= 60+90
=150
angle sum property
x+150=180
x=180- 150
x= 30
Answer:
Step-by-step explanation:
90 + 60 = 150
(right angles = 90)
There is 180 degrees in a triangle, therefore,
180 - 150 = 30
Therefore, x = 30
p.s. Are you good at history?
p.p.s I dont like summer school either =)
Solve for y in terms of x. 2/3 y - 4 = x
Answer:
y = 3/2x + 6
Step-by-step explanation:
2/3 y - 4 = x
2/3y = x + 4
y = 3/2 * (x + 4)
y = 3/2x + 6
Answer:y=(3x/2)+6
Step-by-step explanation:
(2/3)y-4=x
2y-12=3x
2y=3x+12
y=(3x/2)+6
Solve the equation 3(2x+9)=30
Answer:
x=1/2
Step-by-step explanation:
3(2x+9) = 30
Multiply out the 3
6x + 27 = 30
Subtract 27 on both sides
6x = 3
Divide by 6 on both sides
x = 1/2
Answer:
x=1/2
Step-by-step explanation
nolan uses 7 inches of string to make each bracelet. if nolan makes 3 bracelets, how many inches of string will he use?
Answer:
21 inches
Step-by-step explanation:
We can write a ratio to solve
7 inches x inches
------------- = -------------------
1 bracelet 3 bracelets
Using cross products
7*3 = 1x
21 = x
21 inches
Answer:
21 inches
Step-by-step
This can be solved two ways: addition or multiplication.
Addition: Since there are three bracelets you could add 7 three times
7+7+7
= 14+7
= 21
Multiplication: Simply multiply 7 x 3= 21
Select the true statement about triangle ABC.
A. cos A = cos C
B. cos A = sin C
C. cos A = sin B
D. cos A = tan C
Answer:
B
Step-by-step explanation:
We know that cosθ= adjacent/hypotenuse, sinθ=opposite/hypotenuse, and tanθ=opposite/adjacent.
Using this, we can first try between cos and sin for A-C. We know that two different angles will not have the same side adjacent to both of them. However, one angle might have an adjacent side that is opposite to another angle. Using this knowledge, we can say that A is incorrect, as two different angles in the same triangle cannot have the same cos value (unless the triangle is isosceles).
For B, we can say that cos A = adjacent/hypotenuse = 12/13, and sin C= opposite/hypotenuse = 12/13. These are equal, but we can double check by making sure the other answers are wrong.
For C, we can tell that B is a right angle, signified by the small square representing the angle. sin(90°) = 1, and cosA = 12/13. These are not equal.
Finally, for D, sin A = opposite/hypotenuse = 5/13, while tan C = opposite/adjacent = 12/5. These are not equal
What are the x and y-intercepts of the line described by the equation?
2x + 4y = 12.4
Enter your answers, in decimal form, in the boxes.
x=
y=
Step-by-step explanation:
x intercept is at y=0
2x= 12.4
x = 6.2
y intervept is at x=0
4y= 12.4
y = 3.1
The mean of a normally distributed set of data is 53 with a standard deviation of
6. Approximately 95% of all cases are expected to be between...
Answer:
2 standard deviations of the mean. so, 41 to 65
Step-by-step explanation:
from the empirical rule we know that for 95% we are in 2 standard deviations of the mean. so:
53- 6- 6 = 41
*2 minus 6s because 2 standard dev. with the mean
53 + 6 + 6 = 65
express as a trinomial (3x-10)(3x-1)
Answer:
3x (3x-1)-10 (3x-1)
9x2-3x-30x+10 (the 2 in 9x2 is the square ok)
9x2-33x+10 Ans..
I hope this will help you
If this is incorrect forgive meplz
Sue read 12 more than twice as many pages is tom did last week if sue read 90 pages how many did tom read
Answer: 39 pages
Step-by-step explanation:
x = the amount of pages Tom read
[tex]2x+12=90\\2x=78\\\frac{2x}{2}=\frac{78}{2}\\x=39[/tex]
If Sue read 90 pages, which is 12 more than twice the amount, subtract 12 from 90, then divide the result by 2, boom, you got your answer. Which should be 39
On a pie chart, a category representing 20% of the whole should correspond to a central angle of 20°.
Answer:
No! 20% does not correspond to a central angle 20°.
Step-by-step explanation:
The central angle for pie chart is 360°.
So, a category represents 20% is 20%(360) for central angle.
Let's simplify it to get the angle,
[tex]\frac{20}{100} * 360[/tex]
Simplify it,
72°
So, 20% does not correspond to a central angle 20°.
What are the features of the quadratic function ƒ(x) = x2 + 10x + 21?
Answer:
B is the answer
Step-by-step explanation:
The intercept is at x = 0 then y = 21 or (0,21) so A and D drop out.
The vertex (-5, -4) satisfies the equation but (-4,-5) does not so C drops out leaving B.
Answer:
B.
Step-by-step explanation:
B.
Please help me answer my question. I really need help with understanding this.
If [tex]sinx=\frac{3a}{2}[/tex] and 0 is less than x is less than [tex]\frac{\pi }{2}[/tex], express [tex]\frac{x}{4}-sin2x[/tex] as a function of a.
If sin(x) = 3a/2 and 0 ≤ x ≤ π/2, then x = arcsin(3a/2). The condition on x here is useful because it makes the sin and arcsin functions exacts inverses of one another: if y = sin(x), then arcsin(y) = x.
Recall the double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
Also because 0 ≤ x ≤ π/2, we know both sin(x) > 0 and cos(x) > 0. So from the Pythagorean identity, it follows that
sin²(x) + cos²(x) = 1
==> cos(x) = √(1 - sin²(x)) = √(1 - 9a ²/4) = 1/2 √(4 - 9a ²)
Then we have
x/4 - sin(2x) = x/4 - 2 sin(x) cos(x)
… = 1/4 arcsin(3a/2) - 2 (3a/2) (1/2 √(4 - 9a ²))
… = 1/4 arcsin(3a/2) - 3a/2 √(4 - 9a ²)
Find the value of x. Round the answer to the nearest tenth, if needed.
A. 1.8
B. 6
C. 8
D. 20.3
What’s the value of X?
find the area of the shaded region,(π=3.14).
plx help me
Answer:
115.395 cm2Step-by-step explanation:
The radius of the whole figure: 14 : 2 = 7 (cm)
The area of the whole figure: 7 x 7 x 3.14 = 153.86 (cm2)
The area of the unshaded region: 3.5 x 3.5 x 3.14 = 38.465 (cm2)
The area of the shaded region: 153.86 - 38.465 = 115.395 (cm2)
Answer: 115.395 cm2.
Hope it helps!
HELP ME PLEASEEEEE!!!!!!!
Answer:
sas
Step-by-step explanation:
dide angle side is correct
The following are the dimensions of a triangle, 6 cm, 8 cm, and 12 cm.
Is this a right triangle?? Use the Pythagorean theorem and the basic law of exponents to prove whether this is a RIGHT triangle.
Show your work and POST your answer.
Answer:
Perimeter of original triangle: 6+8+10=24 cm
Perimeter of new triangle: 3+4+5=12 cm (You get 3, 4, and 5 from dividing 6, 8. and 10 by 2.)
Ratio of original to new is 24 to 12, simplified to 2 to 1.
The ratio of the perimeter is the ratio of the corresponding sides, as the original measurements are two times the length of the new measurements.
Area of original triangle: (6x8)/2=24 cm^2
Area of new triangle: (3x4)/2=6 cm^2
Ratio of original to new is 24 to 6, simplified to 4 to 1.
Please help ASAP!!!
What is m
Answer:
∡A =115°
as for your question ... m is asking for the "m" (measure) of angle A
Step-by-step explanation:
Answer:
∠ A = 118°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
3x + 13 + x - 8 + x = 180, that is
5x + 5 = 180 ( subtract 5 from both sides )
5x = 175 ( divide both sides by 5 )
x = 35
Then
∠ A = 3x + 13 = 3(35) + 13 = 105 + 13 = 118°
Can someone help me pls
Answer:
Step-by-step explanation:
Look at the photo
Resuelve el siguiente problema un buzo en una laguna decendio 8m en una hora.Si cada hora bojo la misma cantidad de metros, ¿cuantos metros bojo en 4 horas
Answer:
X = 32 meters.
Step-by-step explanation:
Let the unknown distance be X.Given the following data;
Distance = 8 meters per hourTime = 4 hoursTo find how many meters he would cover in four hours;
1 hour = 8 meters
4 hours = X meters
Cross-multiplying, we have;
X = 8 * 4
X = 32 meters.
Edwin hiked to a famous point with a beautiful view. It took 2 hours and 55 minutes to hike to the viewpoint and 25 minutes to hike back. Edwin spent 25 minutes enjoying the view at the top. He finished the hike at 11:45 A.M. What time did Edwin start the hike to the viewpoint?
Answer:
= 8:00 A.M.
Step-by-step explanation:
▪You first find the total time taken which will be :
2 hrs 55 min + 25 min
= 3 hrs 20 min + 25 min
= 3 hrs 45min
▪ Beginning time = Arrival time - Time taken
= 11:45 - 3:45
= 8:00 am
¿
Find the measure of x
Answer:
x = 130 degrees
Step-by-step explanation:
ok so first find all the interior angles of the triangle before using the supplementary angle rule to find x.
the interior angle A = 20 degrees, so the interior angle B must be 50 degrees (since there can only be 180 degrees in a triangle). So, since B is 50 degrees and x is 180-50, we know that x = 130 degrees
Which sentence can represent the inequality 2.4 (6.2 minus x) greater-than negative 4.5?
Two and four tenths times six and two tenths minus a number is larger than negative four and five tenths.
Two and four tenths multiplied by the difference of six and two tenths and a number is more than negative four and five tenths.
The difference of six and two tenths and a number multiplied by two and four tenths is not less than negative four and five tenths.
The product of six and two tenths minus a number and two and four tenths is at minimum negative four and five tenths.
Answer: Choice B
Two and four tenths multiplied by the difference of six and two tenths and a number is more than negative four and five tenths.
======================================================
Explanation:
2.4 = 2 + 0.4
2.4 = 2 and 4/10
2.4 = 2 and 4 tenths
2.4 = two and four tenths
-------------------
Through similar reasoning,
6.2 = six and two tenths
And also,
-4.5 = negative four and five tenths
---------------------
Notice how 6.2 - x translates into "difference of six and two tenths and a number"
We then multiply that by 2.4, aka two and four tenths.
So that's how we get the phrasing "Two and four tenths multiplied by the difference of six and two tenths and a number"
All of this is greater than -4.5 aka negative four and five tenths.
This points us to Choice B as the final answer.
Answer:
Answer: Choice B
Step-by-step explanation:
Edgunity
The ancient Greeks were able to construct a perpendicular bisector for a
given line segment using only a straightedge and compass.
O A. True
B. False
Answer:
True
Step-by-step explanation:
The answer is "True". Let me explain.
Let's say that we have a line segment which we will call AB, construct a perpendicular bisector. The following steps will be taken;
1) Draw a semi circle with its centre at point A and passing through point B.
2) Draw a semi circle with its centre at point B and passing through point A.
3) The two semicircles will intersect at two points with one being above and the other being below the straight line segment AB. Now, a line will have to be drawn that passes through those two intersecting points. This drawn line is called the perpendicular bisector for line segment AB.
Answer:
True
Step-by-step explanation:
Make sure you’re paying attention to if your question says “were able to” or “were not able to”.
Oranges cost 15p each. Raj has a £1 coin.
What is the greatest number of oranges Raj can buy with £1? I already know the answer; I just need confirmation.
what is 9 x 8 + 6 - 98 +67?
Answer:
47
Your answer is this.
Hope it will help you
Find IG in the image below .
Step-by-step explanation:
[tex]ig =2 \times yx = 2 \times 11 = 22[/tex]
What is the length of the hypotenuse
Answer: 25 in.
Step-by-step explanation:
What is the value of c in the interval (5,8) guaranteed by Rolle's Theorem for the function g(x)=−7x3+91x2−280x−9? Note that g(5)=g(8)=−9. (Do not include "c=" in your answer.)
Answer:
[tex]\displaystyle c = \frac{20}{3}[/tex]
Step-by-step explanation:
According to Rolle's Theorem, if f(a) = f(b) in an interval [a, b], then there must exist at least one c within (a, b) such that f'(c) = 0.
We are given that g(5) = g(8) = -9. Then according to Rolle's Theorem, there must be a c in (5, 8) such that g'(c) = 0.
So, differentiate the function. We can take the derivative of both sides with respect to x:
[tex]\displaystyle g'(x) = \frac{d}{dx}\left[ -7x^3 +91x^2 -280x - 9\right][/tex]
Differentiate:
[tex]g'(x) = -21x^2+182x-280[/tex]
Let g'(x) = 0:
[tex]0 = -21x^2+182x-280[/tex]
Solve for x. First, divide everything by negative seven:
[tex]0=3x^2-26x+40[/tex]
Factor:
[tex]0=(x-2)(3x-20)[/tex]Zero Product Property:
[tex]x-2=0 \text{ or } 3x-20=0[/tex]
Solve for each case. Hence:
[tex]\displaystyle x=2 \text{ or } x = \frac{20}{3}[/tex]
Since the first solution is not within our interval, we can ignore it.
Therefore:
[tex]\displaystyle c = \frac{20}{3}[/tex]
A chef got 7 bags of onions. The red onions came in bags of 8 and the yellow onions came in bags of 3. If the chef got a total of 41 onions, how many bags of each type of onion did he get?
Answer:
[tex]\#\text{ of 8-onion bags: }4,\\\#\text{ of 3-onion bags: }3[/tex]
Step-by-step explanation:
Let [tex]a[/tex] be the number of bags with 8 onions and let [tex]b[/tex] be the number of bags with 3 onions. We have the following system of equations:
[tex]\begin{cases}a+b=7,\\8a+3b=41\end{cases}[/tex]
Subtracting [tex]b[/tex] from both sides of the first equation, we get [tex]a=7-b[/tex]. Substitute this into the second equation:
[tex]8(7-b)+3b=41,\\56-8b+3b=41,\\56-5b=41,\\-5b=-15,\\b=\boxed{3}[/tex]
Therefore, the number of 8-onion bags is:
[tex]a=7-b,\\a=7-3,\\a=\boxed{4}[/tex]
Thus, the chef got 4 8-onion bags and 3 3-onion bags.
