Answer:
Step-by-step explanation:
Begin with the formula for the area of a sector:
[tex]A=\frac{\theta}{2\pi}*\pi r^2[/tex] and we are given everything except the radius, r. Filling in what we know:
[tex]\frac{49\pi}{8}=\frac{\frac{\pi}{4} }{2\pi}*\pi r^2[/tex] and then start the simplification process. I began by dealing with the fraction over a fraction thing, which simplifies the equation to:
[tex]\frac{49\pi}{8}=\frac{1}{8}\pi r^2[/tex] then isolate the r-squared:
[tex]\frac{8(49\pi)}{8\pi}=r^2[/tex]. Canceling out the π's and the 8's leaves us with simply
r² = 49 so
r = 7
A square pyramid has a base with a side length
of 8 feet and lateral faces with heights of 6 feet.
What is the lateral area of the pyramid?
Answer:
160.
Step-by-step explanation:
The area of the base is 64 since each side is 8, 8x8 is equal to 64. Then you have the lateral faces with a length of 8, and a height of 6, which is 48, but since they are triangles, you divide by 2, finally add 24+24+24+24+64 and your final answer is 160.
Which of the following is a composite number?
Ο Α. Ο
O B. 19
O C. 63
O D. 1
Answer: The letter C
Option C is correct, 63 is the composite number.
What is Number system?A number system is defined as a system of writing to express numbers.
Composite numbers are numbers that have more than two factors.
0 is not a composite number.
19 is a prime number because it is divided by itself so it is not a composite number.
63 is a composite number because it has more than two factors.
The factors of 63 are 1, 7 , 9
1 is not a prime number as it does not have factors.
Hence, Option C is correct, 63 is the composite number.
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Determine the relationship between the two triangles and whether or not they can be
proven to be congruent.
Please help the question is in the picture.
Answer:
[tex]\text{A. }\frac{5}{6}\pi x^2[/tex]
Step-by-step explanation:
The area of a sector with measure [tex]\theta[/tex] is equal to [tex]r^2\pi\cdot \frac{\theta}{360}[/tex]
Since there are 360 degrees in an angle, the measure of sector K must be 360-60=300 degrees.
What we know:
[tex]\theta[/tex] of [tex]300^{\circ}[/tex] [tex]r[/tex] of [tex]x[/tex]Thus, the area of the sector is [tex]x^2\pi\cdot \frac{300}{360}=\boxed{\text{A. }\frac{5}{6}\pi x^2}[/tex]
Tracy's team won 75% of their games last year. They played 12 games. How many games did they win?
Answer:
9 games.
Step-by-step explanation:
You need to find 75% of 12. 75% is equal to three fourths. 12 divided by 4 is 3, so one fourth of 12 is 3. 3 times 3 is 9, so three fourths (75%) of 12 is 9.
What is the least number of apples that can be shared equally among either 6, 10 or 15 children?
Answer:
If you mean with out splitting up the apple then we could just give one apple to each child so it would look like this
6 children 6 apples
10 children 10 apples
15 children 15 apples
The triangles below are similar.
Triangle S R P. Angle S is 54 degrees, R is 41 degrees, P is 85 degrees. Triangle X Y Z. Angle X is 54 degrees, Z is 41 degrees, and Y is 85 degrees.
Which similarity statements describe the relationship between the two triangles? Check all that apply.
Triangle P R S is similar to triangle X Y Z
Triangle R S P is similar to triangle Z X Y
Triangle S R P is similar to triangle X Z Y
Triangle P S R is similar to Triangle Z Y X
Triangle R P S is similar to triangle Z Y X
Triangle S P R is similar to triangle X Z Y
Answer:
Triangle RSP is similar to triangle ZXY
Step-by-step explanation:
to be similar triangles the order of the angles must match.
Angle R is 41° so is angle Z
angle S is 54° so is angle X
angle P is 85° so is angle Y
In ΔHIJ, the measure of ∠J=90°, IH = 5, HJ = 4, and JI = 3. What is the value of the tangent of ∠I to the nearest hundredth?
The required triangle is possible, the value of the tangent of ∠I is 1.33.
What are trig ratios?If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to estimate the measures of one (or both) of the acute angles.
In a right triangle, the tangent of one of the acute angles is defined as the ratio of the length of the opposite side to the length of the adjacent side. In this case, we are looking for the tangent of ∠I.
Using the Pythagorean theorem, we can find the length of the third side, HJ, of the right triangle:
HI² = HJ² + IJ²
5² = 4² + 3²
25 = 16 + 9
tan(∠I) = opposite/adjacent = HJ/ JI = 4/3
Rounding to the nearest hundredth, we get:
tan(∠I) ≈ 1.33
Therefore, if the triangle is possible, the value of the tangent of ∠I is 1.33.
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Astronauts use a tool in space that weighs 5 ounces on Earth. How many grams does the tool weigh? Round your answer to the nearest hundredth.
You need to convert 5 oz into grams.
1 oz = 28.3495 g
5 oz * 28.3495 g/oz = 141.75 g
Answer: 141.75 g
Why is this a function?
X Y
3. -1
0.
0
-3
-6. 2
(3 and 0 are both assigned to 0)
This is a function because each element in the domain has one and only distinct image in the co-domain.
The triangles shown below must be congruent.?
True or false
Answer:
True
Step-by-step explanation:
Angle-Angle-Side congruency
Answer:
A. True
Step-by-step explanation:
Since, two corresponding angles of the triangles are congruent. So, third angle will automatically be congruent. Hence, by AAA postulate both the triangles will be congruent. Therefore. Option A. TRUE is the correct answer.Need help with number one please
Answer:
answer is 4 because EJ is 4, and GJ is congruent to EJ meaning they are the same size.
A school sold a total of 250 tickets to a show. Adult tickets cost $7.25 and student tickets cost $5.50. At the end of the evening the amount of money
collected was $1,602.50. Write and solve a system of equations to determine the number of student tickets sold
В І ца
7.25x+5 5y=1,602.50
1 / 10000 Word Limit
Answer:
The system of equations is:
x + y = 250 (1)
7.25x + 5.50y = 1602.50 (2)
with x = Adult tickets
y= student tickets
Solution
Let's equation (1)
x+y=250
x=250-y (a)
subtitute x in aquation (2)
7.25(250 - y) + 5.50y=1602.50
1812.50 - 7.25y + 5.50y= 1602.50
1812.50 -1.75y = 1602.50
-1.75y = 1602.50 - 1812.50
-1.75y = -210 ↔multiply both sides by (-1) to remove the minus sign
y= 210/1.75
y= 120
Substitute y in equation (1)
x + 120 = 250
x= 250 - 120
x =130
Let's check our results in equation (1)
x + y =250
120 + 130= 250 ↔ 250 = 250
At the end of the evening they 120 students tickets and 130 adults tickets
Step-by-step explanation:
You can check the results in any of the equations
Which best describes the incenter of a triangle?
• A. The point where the three altitudes of the triangle intersect
•
B. The point where the perpendicular bisectors of the three sides of
the triangle intersect
•
C. The point where the three medians of the triangle intersect
•
D. The point where the three angle bisectors of the triangle intersect
SUBMIT
Answer:
The statement that best describes the incenter of a triangle is that, it is the point where the three angle bisectors of the triangle intersect. In geometry, an incenter of a triangle is described as the triangle center.
Step-by-step explanation:
follow me
Answer:
D. The point where the three angle bisectors of the triangle intersect
Step-by-step explanation:
A ratio of peanuts to raisins is 5 to 4. A bag of the snack mix contains 200 peanuts. How many raisins are in the bag
Answer:
160 raisins
Step-by-step explanation:
First, the ratio of peanuts to raisins will be 5:4.
Next, to fine the number to multiply the 4 by, you will divide 200 by 5.
You divide the 200 by 5 because that is how many peanuts there are in the bag and the ratio is 5:4 as stated above.
So 200 divided by 5 is 40. You will take that 40 and then multiply it by 4 to get 160.
So the end result is there are 160 raisins in the bag, and the final ratio would be 200:160
A right triangle has side lengths d, e and f as shown below use these lengths to find cos x, tan x and sin x
SOMEONE HELP ASAP PLZ
Answer:
To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.
sin x = O/H
cos x = A/H
tan x = O/A
where O stands for opposite, A for adjacent, and H for hypotenuse. So, for example, the sine of x is equal to the side opposite of angle x over the hypotenuse. The same goes for cosine and tangent. Using the diagram attached, we have the expressions of the trigonometric functions as shown below.
sin x = f/d
cos x = e/d
tan x = f/e
Step-by-step explanation:
The trigonometric ratio's as per given side length of a triangle are as follow,
cosx = f/e , sinx = d/e , and tanx = d/f.
Let us consider triangle name as ABC,
Measure of angle ABC = x degree
Measure of angle BAC = 90 degree
Side length AB = f
Side length AC = d
Side length BC = e
For angle x ,
AC is the opposite side , AB is the adjacent side, and BC is the hypotenuse.
cosx = adjacent side / hypotenuse
= f / e
sinx = opposite side / hypotenuse
= d / e
tanx = opposite side / adjacent side
= d / f
Therefore, the value of the trigonometric ratio for the given side length of a triangle are cosx = f/e , sinx = d/e , and tanx = d/f.
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what do you means by. India gate
Answer:
The India Gate (formerly known as the All India War Memorial) is a war memoria)
Step-by-step explanation:
it's a place
Solve the equation 6x^2 + 15x + 3= 2x^2 to the nearest tenth.
Answer:
x = -0.2 and x = -3.5
Step-by-step explanation:
Combine like terms in the given equation, by subtracting 2x^2 from both sides:
6x^2 + 15x + 3 = 2x^2
-2x^2 = -2x^2
----------------------------------
4x^2 + 15x + 3 = 0
This is a quadratic equation. We'll find the two solutions using the quadratic equation
-b ± √(b^2 - 4ac)
x = ---------------------------
2a
Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.
Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177
and from that we know we'll find two real, unequal roots.
-15 ± √177
The roots are: x = ------------------- , or x = -0.2 and x = -3.5
8
PLEASEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
The correct algebraic expression is [tex]8+2c[/tex] or also, [tex]2c+8[/tex] because they are the same thing.
Step-by-step explanation:
Hope this helps and,
pls let me know if it was correct.
I need help on this problem can anyone help me on this
Answer:
Step-by-step explanation:
Finding solutions in a problem like this requires factoring. That means we need to do whatever we have to to isolate the x term. Of course, we have to do it in order of operations but backwards. Begin by adding 2 to both sides to get
[tex](x+4)^2=9[/tex] Now we have to undo the squaring on the left by taking the square root of both sides:
[tex]\sqrt{(x+4)^2}=[/tex] ±[tex]\sqrt{9}[/tex] Taking the square root of a square cancels out both, and of course the square root of 9 is + or - 3:
x + 4 = ±3
The 2 solutions are
x = -4 + 3 which is -1, and x = -4 - 3 which is -7. Choice (3) is the one you want.
Hello I need help :)
Solve the equation to find out how much money Rita made working 36 regular hours at $24 per hour plus 8 holiday hours of double-time. What are her total earnings for the week?
A.$1,104.00
B.$ 00.00
C.$1,068.00
D.$1,248.00
Answer:
The correct option is D) $1,248.00
Step-by-step explanation:
First calculate $24 at 36 hours
24 * 36 = $864
then
calculate $48 at 8 hours because of double time
48 * 8 = $384
then
add them both up
864 + 384 = $1248
Paul rolls a fair dice 174 times.
How many times would Paul expect to roll an odd number?
Answer:
87 times as the dice has 3even numbers and 3 odd numbers so chance is 50% so half of 174 is 87.....times
Step-by-step explanation: hope this helps
Answer:
87 times
50% of the time
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
6 numbers
1, 3, 5 are odd
3/6 in one roll
3/6 × 174 = 87
What is DM?
22 cm
30 cm
38 cm
76 cm
Answer:
38cm
Step-by-step explanation:
38 is the answer . hope it helps.
Answer:
c. 38 cm
Step-by-step explanation:
need the answer asap i will give you brainliest
Answer:
d
Step-by-step explanation:
A baker uses 20
cups of flour to make 4 loves of bread. Use this information for the picture below!
Answer:
60 cups
Step-by-step explanation:
We can use ratios to solve
20 cups x cups
--------------- = -------------------
4 loaves 12 loaves
20 * 12 = 4 *x
240 = 4x
Divide by 4
240/4 = 4x/4
60 =x
60 cups
These tables of values represent continuous functions. For which function will the y-values be the greatest for very large values of x?
PlzzPlease help me bunnies <3
No monkey business plz. Or I will report
It's C.
The value is increasing threefold relative to the previous step.
all other function values increase by a fixed amount and are therefore linear
Pedro spins the pointer of a spinner 10 times. The pointer lands on the color blue 7 times. Write a fraction to represent the part of Pedro's spins that were blue?
Answer:
7/10
Step-by-step explanation:
Out of the ten spins seven landed on blue.
I hope this helps :)
Answer:
The fraction that would represent the part of Pedro's spins that were blue would be [tex]\frac{7}{10}[/tex].
Step-by-step explanation:
In a fraction, there is a numerator and a denominator. In order to get a fraction that would represent the part of Pedro's spins that were blue, you need to put the number of times the pointer landed on blue as a numerator and the total number of spins as the denominator. Therefore a fraction that would represent the part of Pedro's spins that were blue would be [tex]\frac{7}{10}[/tex].
OMG DUE IN 40 MINUTESSSS!!
Answer:
17 1/3 52/3
Step-by-step explanation:
3x+y=38
3x+2y=52
-y=14
y=-14
3x+-14=38
3x-14=38
3x=38+14
3x=52
3x/3=52/3
x=171\3
17 is a whole number then 1 divided by 3 . thus is x
Why do some functions not have x intercepts?
mathhh raduiss please help