Answer:
option 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (- 4, 7) and r = 18 ÷ 2 = 9 , then
(x - (- 4) )² + (y - 7)² = 9² , that is
(x + 4)² + (y - 7)² = 81
an angle is 21 degree more than twice its complement find it
QUICK
ASAP now before tomorrow Please
Answer: 67°
Step-by-step explanation:
Complementary angle refers to the angle that when added together will be equal to 90°.
Let the measurement of the angle's complement be x.
Therefore, the angles are x and 2x + 21. Since it's a complementary angle, therefore,
x + 2x + 21 = 90
3x + 21 = 90
3x = 90 - 21
3x = 69
x = 69°/3
x = 23°
Therefore, the angle will be:
= 2x + 21
= 2(23°) + 21°
= 46° + 21°
= 67°
The angle is 67°.
Solve for x.
3:12 = x:16
64
4
2 1/4
Hi!
i think We can set up a proportion to solve this
\frac{3}{12} \frac{x}{16}
12
3
16
x
Cross multiply
3 x 16 = 48
48/12 = 4
The answer is 4
Hope this helps! :)
1.
Find the least common multiple.
20 and 12
Answer:
answer 60
Step-by-step explanation:
The LCM(12, 20) = 60.
Explain two procedures that you can use to draw two adjacent complementary angles. Then draw a pair of adjacent complementary angles so that one angle has a measure of 30°.
Answer:
Complementary angle of 30° is 60°.
Step-by-step explanation:
The complementary angles are the angles whose sum is 90.
If one angle is x then the other angle is 90 - x, they both are complementary to each other.
One angle is 30°, so the other angle is 90° - 30° = 60°
How many bags of concrete are needed to fill the path 1m3 requires 106 x 20kg bags of concrete The pond is 7m diameter and the path around is 2m 50mm deep
Answer:
300 Bags
Step-by-step explanation:
According to the Question,
Given that, We are laying a concrete border around a circular pond. The pond is 7 metres in diameter and is surrounded by a path 2 metres wide.The radius of the pool = 3.5 m; the overall radius including the border = 3.5 + 2 = 5.5m
The area of the concrete borderoverall area - pool area = border area(A)
A = π×5.5² - π×3.5²
A = 56.55 sq m
The concrete needs to be 50 millimetres deep.the volume of the concrete, change 50 mm to .05 m
56.55 * 05 = 2.8275 cu/meters
We are using premixed bagged concrete.1 cubic metre requires 106 x 20 kg bags.
So For the number of bags106 * 2.8275 = 299.715 ≈ 300bags
300 bags of 20 kg of premixed concrete We needSimplify the trigonometric expression sin(4x)+2 sin(2x) using Double-Angle
Identities.
A. 8sin(x) cos(x) - 4 sin(x) cos(x)
B. 8sin(x) cos(x)
C. 8sin(x) cos(x) – 8 sin(x) cos(x)
D. 8 sin(x) cos' (x) +8sin(x) cos(x)
Answer:
[tex]{ \bf{ = \sin(4x) + 2 \sin(2x) }} \\ = { \bf{2 \sin(2x) \cos(2x) + 4 \sin(x) \cos(x) }} \\ { \bf{ = 4 \sin(x) \cos(x) . ({ \cos }^{2} x - { \sin}^{2} }x) + 4 \sin(x) \cos(x) } \\ = { \bf{4 \sin(x) \cos(x) ( { \cos }^{2}x - { \sin }^{2}x + 1) }} \\ = { \bf{4 \sin(x) \cos(x) }(2 { \cos }^{2} x)} \\ = { \bf{8 \sin(x) { \cos}^{3}x }}[/tex]
Find the area of AABC. Round your answer to the nearest tenth.
mZA = 23º, mZC = 39, b = 14.6
a. 44.5
b. 29.7
C. 49.4
d. 77.1
Answer:
the answer is 77.1
what is the effect on the graph of f(x) if it is changed to f(x)+7, f(x+7) or 7f(x)
Answer:
it changed to f(x)+7 because it has an asymptote of 7
Total health care costs in the United States in 2016 was $1.7 trillion. he US population was 290.9 million. What was the average amount spent per person on health care?
Answer:
$5,843.9
Step-by-step explanation:
2016
Total health care cost in US = $1.7 trillion
= $1,700,000,000,000
Population in US = 290.9 million.
= 290,900,000
Average amount spent per person on health care = Total health care cost in US / Population in US
= 1,700,000,000,000 / 290,900,000
= $5843.9326228944
Approximately,
$5,843.9
To the nearest whole number
= $5,844
13. Jimmy is writing a paper for one of his classes. The paper has to be 3,000 words
long, and so far he has written 696 words. If he only has 6 more days to write
his paper and wants to write the same number of words each day, then how
many words must he write per day to finish the paper?
Answer:
384 words per day
Step-by-step explanation:
If he already wrote 696 words out of 3,000 words, then he has another 2,304 words left to write. To know how many words he needs to write each day for the next 6 days, then we need to divide 2,304 words by 6. The quotient thus becomes 384 words.
Answer:
384 words per day
Step-by-step explanation:
3000-696=2304
So 2304 divided by 6 =348
please answer this !!!
5x + 100
x = 16°
Step-by-step explanation:
The sum of angles in a straight line = 180°
Therefore
5x + 100° = 180°
5x = 180° - 100°
5x = 80°
x = 80/5
x = 16°
A cyclist travels 8 km from home to the park. She leaves home at 10:15 and arrives at the park at 10:30. What is her average speed in km/h?
Answer:
speed = 32km/hr
Step-by-step explanation:
Time
10:15 to 10:30 = 1/4 hr
speed = distance/time
speed = 8 / (1/4)
speed = 32km/hr
In triangle RST, angle R is a right angle. If TR = 6 and TS = 8, what is the length of RS
Answer:
RS = 2[tex]\sqrt{7}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
RS² + RT² = TS² , that is
RS² + 6² = 8²
RS² + 36 = 64 ( subtract 36 from both sides )
RS² = 28 ( take the square root of both sides )
RS = [tex]\sqrt{28}[/tex] = [tex]\sqrt{4(7)}[/tex] = 2[tex]\sqrt{7}[/tex] ≈ 5.3 ( to 1 dec. place )
Find The Area please help me
With three people living together, how will the rent and other expenses be split?
Answer:
Everything will be split in threes. You can do this by either multiplying the cost by 1/3 or dividing by 3.
Step-by-step explanation:
The spinner depicted is a fair spinner. The spinner is least likely to land on which number?
A 1
B 2
C 3
D It is impossible to tell.
Answer:
d
Step-by-step explanation:
it is impossible to tell since no numbers were given nor signs were offered to help us know whether we are dealing with additon , subtraction , multiplication or division
HELP PLEASE THIS IS IMPORTANT FOR MY CLASS!!1.what is the diameter in inches of a circle that has a circumference of 12 inches
Answer:
3.8 inches
Step-by-step explanation:
12 = 2 x 22/7 x r
84= 2 x 22 x r
42 = 22r
r = 1.9
2r = 3.8inches.
diameter is twice the radius
diameter = 3.8 inches
hope its right. good luck!
Find the area of the circle. (Picture attached). Thank you!!
Answer:
254.5cm²
Step-by-step explanation:
I assumed that the units is cm.
hope it helps!!!
Why did the author most likely include information about the Spanish-
American War in the reading?
O A. To show his knowledge of history
B. To set the time frame for his story
O C. To emphasize a dangerous situation
O D. To please readers who had military knowledge
Solve for x
-6/5x-4=-46
Answer:
x = 35
Step-by-step explanation:
-6/5x-4=-46
Add 4 to each side
-6/5x-4+4=-46+4
-6/5x=-42
Multiply each side by -5/6 to isolate x
-5/6 * -6/5x=-42 * -5/6
x = 35
Answer:
x = 35
Step-by-step explanation:
-6 / 5x - 4 = - 46
Add 4 to each side
- 6 / 5 x - 4 + 4 = - 46 + 4
- 6 / 5 x = - 42
To find x, multiply 42 by 5 and then divide by 6.
x = 42 × 5 / 6
x = 7 × 5
x = 35
I am so lost on this question. I’ve never heard of a matrices so I have no clue where to even start to solve this problem.
Answer:
thas multiple matrix bro
Step-by-step explanation:
PLEASE help me! 50 Points
What is the Inverse of
Answer:
hmm what could it be I DNT kno
PLSSS HELPPP no linkss plsss im begging
Answer:
Step-by-step explanation:
If the distance from D to D' is 10 and the distance from A to D is 5, what is the scale factor?
Answers:
1) 3
2) 2
3) 1/2
4) 1/3
Answer:
2
Step-by-step explanation:
Because 10/5 is 2
The scale factor for the given distances will be 2. The correct option is 2.
To determine the scale factor, we need to compare the distances between corresponding points in two similar figures. In this case, the distances between points D and D' in one figure and points A and D in the other figure are provided.
The scale factor is determined by dividing the distance between corresponding points in the two figures. Therefore, the scale factor can be calculated by dividing the distance from D to D' (10) by the distance from A to D (5):
Scale factor = Distance from D to D' / Distance from A to D = 10 / 5 = 2
Therefore, the correct answer is option 2). The scale factor is 2.
To know more about scale factors follow
https://brainly.com/question/30215044
#SPJ2
What value of x is in the solution set of 9(2x + 1) < 9x - 18?
-4
-3
-2
-1
Answer:
The only possible answer that is correct is the first one, x = -4.
Step-by-step explanation:
Simplify the given inequality as much as possible, and then substitute each of the given x values one by one to determine which is in the solution set.
9(2x + 1) < 9x - 18 becomes 18x + 9 < 9x - 18, which, if reduced by dividing all four terms by 9, becomes 2x + 1 < x - 2.
Simplifying further, we get x < - 3. The only possible answer that is correct is the first one, x = -4. -4 < -3 is true.
Step-by-step explanation:
9(2x + 1)<9x - 1818x + 9 < 9x - 1818x - 9x < - 18 - 99x < 27x = 27/9x = 3.Which of the following functions represent exponential decay and has a y-
intercept of 2?
O y = {(0.85)*
O y = (2)*+2
O y = 4 (2)*
O y = 2(3)*
Answer:
Non of the given options
A function that represent an exponential decay and 2 as the y-intercept is y = 0.85ˣ + 1
Step-by-step explanation:
An exponential decay function is a function that reduces in magnitude at a constant percentage rate, r (< 1)
An exponential decay can be represented by the formula, y = a·(1 - r)ˣ
Therefore, the growth factor, (1 - r) = b is less than 1 for an exponential decay
Therefore the function that represent an exponential decay is y = 0.85ˣ, while a function that represent an exponential decay and has a y-intercept of 2 is y = 0.85ˣ + 1. therefore, non of the options
Which expression is equal to 4?
Answer:
D
Step-by-step explanation:
When taking an esponent to an exponent multiply them
4 ^(1/3)^3 = 4^1 = 4
It's a quartile question.
Answer:
D. 8
Step-by-step explanation:
the upper quartile = 8
Rewrite the following quadratic function in vertex form. Then, determine if it has a maximum or minimum and say what that value is.
y = -x 2 + 6x + 5
HELP PLEASE!!!!!!
Answer:
-(x-3)²+14
maximum
(3,14)
Step-by-step explanation:
y= -x²+6x+5
y-5= -x²+6x
y-5= -(x²-6x)
complete the square
y-14= -(x²-6x+9)
x²-6x-9= -(x-3)²
y-14= -(x-3)²
y= -(x-3)²+14
maximum because a is negative
vertex is (3,14)
Which property is shown in the matrix addition below?
0 -5.5
0
5.5
0
0
6
19.4 +-6
-6 -19.4
0
0
0
0
0
0
0 0
Answer:
additive inverse properties