Answer:
√16×81 = 4×9 or √1296 = 36
√16×√81 = 4×9 = 36
Step-by-step explanation:
√81×16
We simplify 81 and 16 by prime factorisation (expressing a number as a product of its prime factors).
√81 = √3×3×3×3 = √9×9 = √9² = 9
√16 = √2×2×2×2 = √4×4 = √4² = 4
Find the angle of depression
from point A to point C.
?
66°
5 mi
B
Angle of depression = [ ? ]
Given:
In triangle ABC, [tex]m\angle A=66^\circ, AB=5\text{ mi}[/tex].
To find:
The angle of depression from point A to point C.
Solution:
According to angle sum property, the sum of all interior angles of a triangle is 180 degrees.
In triangle ABC,
[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]
[tex]66^\circ+90^\circ+m\angle C=180^\circ[/tex]
[tex]156^\circ+m\angle C=180^\circ[/tex]
[tex]m\angle C=180^\circ-156^\circ[/tex]
[tex]m\angle C=24^\circ[/tex]
We know that if a transversal line intersect the two parallel lines, then alternate interior angles are equal. So, the angle of depression from point A to point C is equal to the measure of angle C in triangle ABC.
Therefore, the angle of depression is 24 degrees.
There are 90 girls in fourth form 25 of whom study biology what percentage of fourth form girl study biology?
in rectangle ABCD above,
1. How many opposite sides are equal?
2. Name the parallel opposite sides.
3. Name the opposite angles that are equal.
4. How many right angles can you identify?
5. Identify the equal opposite sides.
6. How many triangles can you identify?
7. Line AB and CD are adjacent to each other.
true or false?
8. the dotted lines AC andBD are called what?
Answer and Step-by-step explanation:
1. 2 pairs (aka 4 sides) of Opposite Sides are equal
2. AB and DC are parallel, and AD and BC are parallel
3. Angles BDC and ACD are equal, angles DAC and DBC are equal, the angles ADB and BCD are equal, angles CAB and DBA are equal
4. 4 right angles
5. AB and DC are equal, and AD and BC are equal
6. 4 Triangles
7. False
8. Diagonals of a rectangle.
#teamtrees #PAW (Plant And Water)
f(-5)=
Pls help i will mark the brainliest!
Answer:
f(-5)=7
Step-by-step explanation:
Because y=f(x) so f(-5) means x=-5.
Now you look at the graph, we can see at x=-5 , y=7. So f(-5)=7
Answer:
7
Step-by-step explanation:
Go to - 5 along the x axis.
When you hit the blue, go straight across until you hit the number on the y axis.
That number is 7
In 1993, the moose population in a park was measured to be 4100. By 1998, the population was measured again to be 3000. If the population continues to change linearly
there seems to be missing text
On a Ford assembly line, each worker
A.) moved from station to station.
B.) was responsible for several different tasks.
C.) performed the same task over and over.
D.) built at least one car each day.
Answer:
d
Step-by-step explanation:
Nevaeh is going to drive from her house to City A without stopping. Let DD represent Nevaeh's distance from City A tt hours after leaving her house. The table below has select values showing the linear relationship between tt and D.D. Determine the distance from Nevaeh's house to City A, in miles.
t d
1 195
2 130
2.5 97.5
Answer:
Step-by-step explanation:
Answer:
260
Step-by-step explanation:
six subtracted from one-half a number is 12.
Answer:
Number is 36
Step-by-step explanation:
Let the number be x
one half of the number is [tex]\frac{1}{2} x[/tex]
6 subtracted from one half is 12, That is,
[tex]\frac{1}{2} x - 6 = 12\\\\\frac{1}{2}x = 12 +6 \\\\x = 18 \times 2 = 36[/tex]
UB needs to need to create a team of 4 players for the competition out of 10 volunteers. How many
different teams are possible?
Answer:
604,800
Step-by-step explanation:
10*9*8*7*6*5*4
a train moving at the rate of 50 km per hour in struck by a stone moving with a velocity of 40 km above are making an angle of 60 degree with the direction of the train find the velocity with which the stone appears to an observed in the train to strike
the train
Answer:
Step-by-step explanation:
the pidgeon is flying east
HELP THIS IS FOR MY FINAL GRADE
Ida's ice-cream stand has increasing profits each week during the hot summer months. Ida finds that each week during the summer her profits increase by 15% over what they were the previous week. In her first week of business, her profits were $600. How much money will she make in all over 5 weeks?
Answer:
Ida makes $ 6960 in 5 weeks.
Step-by-step explanation:
Let the profit of the first week is p.
p = $ 600
Total profits of the five weeks
= p + (p + 0.15p) + (p + p +0.15 p) + (p + p + p + 0.15 p) + (p + p + p + p + 0.15 p)
= 11 p + 0.6 p
= 11 x 600 + 0.6 x 600
= 6600 + 360
= $ 6960
So, Ida makes $ 6960 in 5 weeks.
What’s the ratio of 20 to 6
Answer:
333..%
Step-by-step explanation:
What is 25% of 24?
What is 15% of 60?
9 is what percent of 72
Answer:
6
9
6.48
Step-by-step explanation:
this is the easiest way to solve for percentage:
[tex]\frac{part}{whole} =\frac{part}{whole}[/tex] Where all the percents (except 100) would go in part
and the whole number would go in whole
[tex]\frac{25}{100} =\frac{?}{24}[/tex] Then multiply 24 × 25 ÷ 100 = 6
[tex]\frac{15}{100} =\frac{?}{60}[/tex] Multiply 60 by 25 then divided by 100 = 9
Then for the last one 9 is what percent of 72
all we have to do is multiply 9 and then convert 72 into a decimal (0.72)
Then 9 × 0.72 = 6.48
Answer:
6.48
Step-by-step explanation:
you have to had the left then divide the right
Solve (x + 5)∕3 = 4 for x.
Answer:
7
Step by step explanation:
1. multiply both sides by 3
3(x+5)/3 =4 x 3
2. Simplify
x + 5=12
3. Subtract 5 from both sides
x+5-5=12-5
4. Simplify
7
Solve for X.
12x − 39 ≤ 9 AND −4x + 3 < −6
Choose 1 answer:
A. x ≥ 4
B. 9/4 < x < 4
C. x > -9/4
D. There are no solutions.
E. All values of X are solutions.
Answer: D.There is no answer.
Step-by-step explanation:
what is 12 take away 1 3/5
10 3/5
thank your guy for the pool work
If the triangles are similar which are true
Answer:
b
Step-by-step explanation:
Answer the questions about the following polynomial.
-10x +1
Answer:
Step-by-step explanation:
Given polynomial is (-10x + 1).
This polynomial has two terms.
Therefore, it's a binomial with two separate terms.
The expression represents a binomial polynomial with two terms. The constant term is 1, the leading term is -10x, and the leading coefficient is (-10).
Help?!??? What is the distance!
Trig. Ch.7.1
9514 1404 393
Answer:
100 m
Step-by-step explanation:
One side between two angles is given, so we need to find the third angle. The sum of angles in a triangle is 180°, so the third angle is ...
A = 180° -110°20' -13°20' = 56°20'
The law of sines can be used to find the length of side AB:
AB/sin(C) = BC/sin(A)
AB = BC·sin(C)/sin(A) . . . . multiply by sin(C)
AB = (360 m)sin(13°20')/sin(56°20') ≈ 99.75253 m
The distance AB across the river is about 100 m.
A small engine shop receives an average of repair calls per hour, with a standard deviation of . What is the mean and standard deviation of the number of calls it receives for -hour day? What, if anything, did you assume?
Answer:
Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
N-instances of a normal variable:
For n-instances of normal variable, the mean of the distribution is: [tex]m = n\mu[/tex], and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex]
What is the mean and standard deviation of the number of calls it receives for n-hour day?
Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.
Find st to the nearest tenth please helppppp
The answer of s is 79'
Good luck :)))
Can y’all help me on question 20?!
Answer:
yes I can help you but ???
O resultado da adição algébrica (-5) + (-2 +3
Answer:
= -4
Step-by-step explanation:
(-5) + (-2 + 3) =
(-5) + (1) =
= -4
Hope this helps
What is the measure of angle y in the figure?
Answer:
y = 27
Step-by-step explanation:
The sum of the two angles is a right angle, which is 90 degrees
y+63 = 90
y = 90-63
y =27
Answer:
The measures of angle y is 30 °.
Step-by-step explanation:
We know that, the sum of two side of right angle is 90 °.
60 ° + y = 90 °
subtract 60 ° from each side
y = 90 ° - 60
y = 30 °
Therefore, the measures of angle y is 30°.
Profit = Revenue - Cost: P = R - C
(a) Solve for R.
(b) Find R when P = $4525 and C = $1475.
Answer:
(a) R = P +C
Revenue= Profit + Cost
(b) R = $6000
Step-by-step explanation:
(b) R = $4525 + $1475
= $6000
Noah assigns a number to each of the 150 athletes at his school and puts the numbers in a box. He randomly chooses 30 numbers and finds that 18 of the
athletes watched television last night. Use this sample to make an inference about how many athletes watched television last night.
Answer:
90
Step-by-step explanation:
18 out of 30 watched tv
150/30 = 5
18/30 = (18 * 5)/(30 * 5) = 90/150
Answer: 90
Select all that apply.
A spinner is divided into 4 equal sections. Which of the following are true?
The experimental probability is for each section.
If the spinner is spun 64 times, you would predict it to land on each section 16 times.
The spinner will land on each section of the spinner an equal number of times.
The theoretical probability is 25% for each section.
Multiple choice!!!
Answer:
(B) If the spinner is spun 64 times, you would predict it to land on each section 16 times.
&
(D) The theoretical probability is 25% for each section.
I got this question right
Find the slope thanks
please answer thank you
Answer:
1536 m²
Step-by-step explanation:
To find the area of the lateral faces, calculate the height of a lateral face first.
The height of a lateral face = S
The blue triangle is right-angled, so we can use Pythagoras Theorem to find S.
[tex] \sqrt{ {h}^{2} + {0.5b}^{2} } [/tex]
[tex] = \sqrt{ {16}^{2} + {12}^{2} } [/tex]
[tex] = \sqrt{400} [/tex]
= 20 m
Total surface area of a pyramid
= total surface area of lateral faces + base area
Area of 1 lateral face
= (base × height) ÷ 2
= (24×20)÷2
= 240 m²
Total surface area of the pyramid
= 240×4 + 24×24
= 1536 m²
a water main is to be constructed with a 10% grade in the north direction and a 20% grade in the east direction. determine the angle theta required in the water main for the turn from north to east
Answer:
26.6degrees
Step-by-step explanation:
Given
percent grade through north = 10% (opposite)
percent grade through east = 20% (adjacent)
Get the direction
Using the SOH CAH TOA identity
tan theta = opp/adj
tan theta = 10/20
tan theta = 0.5
theta = arctan (0.5)
theta = 26.6degrees
Hence the required angle is 26.6degrees
