Answer:
Length of the shadow = 6.25 foot
Step-by-step explanation:
Given: A lamp post is of 10 foot
To find: length of the shadow cast of a lamp post when the angle of elevation of the sun is 58°
Solution:
Trigonometric ratios explain the relationship between the angles and sides of the triangle.
For any angle [tex]\theta[/tex],
[tex]tan\theta=[/tex] side opposite to [tex]\theta[/tex]/side adjacent to [tex]\theta[/tex]
In ΔABC,
[tex]tanC=\frac{AB}{BC}[/tex]
Put [tex]AB=10\,\,foot\,,\,\angle C=58^{\circ}[/tex]
[tex]tan58^{\circ}=\frac{10}{BC}\\BC=\frac{10}{tan58^{\circ}}\\=\frac{10}{1.6}\\=6.25\,\,foot[/tex]
So,
length of the shadow = 6.25 foot
Which is another way to name ZUST?
1
0 ZTSR
OTSU
S
O ZUSR
O ZUTS
Answer:
TSU is the correct for answer
Another way to name ∠UST is ∠TSU.
What are Angles?Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.
Angles are usually measured in degrees or radians.
The angle mentioned in the figure is at the point S.
This angle is the smaller angle formed at the point S.
An angle can be represented in two ways, from left to right or from right to left.
Suppose, an angle is ∠ABC.
We can represent this as ∠CBA.
So, the angle represented is ∠TSU.
Hence the angle is ∠TSU.
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What is the slope of the line on the graph below?
2
-2 11
1
2
3
4
5
E
7
8
x
2.
L3
4
50
46
find the surface area
poop h34huehu 3uddej ewdujdwqijdwejj
help me please i am marking brainiest, no one ever helps me with anything i am really struggling as a kid to move on to the next grade so please me me out with this problem please for i can force myself to keep going:
A student is doing a reading assignment. After 41 minutes of reading, she skims the pages ahead and estimates that she still has 53% of the reading to do. According to the girl's estimate, how long is the total reading assignment? Round to the nearest minute.
Answer:
Approximately 87 minutes
Step-by-step explanation:
So first see how much of the reading 41 minutes is. It is 47%.
So now to find out how much 100% is, first find out how much 1% is.
Just divide by 47.
1% = [tex]\frac{41}{47}[/tex]
And then multiply by 100 to get 100%
[tex]\frac{4100}{47}[/tex]
That is 87.2340425532
Which is 87
A sector of a circle with radius 20 cm has an area of 396 cm^2. Calculate, correct to 1 decimal place, (a) the sectoral angle (b) perimeter of the sector (c) volume of the cone formed when the sector is bent such that its straight edges coincide
Answer:
I'm not sure
Step-by-step explanation:
I thought I knew it but I forgot sorry
Find the number of real-number solutions of the equation.
2x^2 = 37
Answer:
Step-by-step explanation:
2x^2 = 37
x^2=37/2
x^2=18.5
[tex]\sqrt{x^{2} }[/tex]=[tex]\sqrt{18.5}[/tex]
x=4.301
Triangle ABC has two known angles. Angle A measures 55 degrees. Angle B measures 30 degrees. What is the measure of angle C? Show your work and explain how to solve.
Answer:
According to triangle theorems, we know that the interior angles of a triangle equals 180 degrees. Since we know that angle A and angle B are 55 and 30 degrees, all we need to do is add them up and subtract it from 180 degrees to find out the measure of angle C.
55 + 30 = 85 degrees
180 degrees - 85 degrees = 95 degrees (this is the measure for angle C)
The m∠C in the triangle is 95° as the other two angles are 55° and 30°
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sum of all the interior angles in a triangle is 180°.
Given, In a triangle, m∠A is 55° and m∠B 30°.
Therefore m∠C = 180° - 55° - 30°.
m∠C = 95°.
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Helppp!! Please ASAP!! Thank you.
Answer:
4
Step-by-step explanation:
what is the following sum 4(5vx^2y)+3(5vx^2y)
i don’t know if that answer is right
Answer:
C
Step-by-step explanation:
Please refer to the picture above.
Assuming a =
[tex] \sqrt[5]{x}^{2}y } [/tex]
You can visualise the solution easily.
please help ASAP for brainliest
Please answer correctly !!!! Will mark BRIANLIEST !!!!!!!!
Answer:
4x`2 + 13x + 8
Step-by-step explanation:
the ` is the squared
Dora says that of all the possible rectangles with the same area, the rectangle with the largest perimeter will have two side lengths that are 1 unit does her sentment make sense?
Answer:
maybe
Step-by-step explanation:
Dora is apparently assuming the dimensions are integers. In that case she is correct.
If the dimensions are unconstrained, the perimeter will be largest when a pair of opposite sides will be the smallest measure allowed.
For some perimeter P and side length x, the area is ...
A = x(P/2 -x)
Conversely, the perimeter for a given area is ...
P = 2(A/x +x)
This gets very large when x gets very small, so Dora is correct in saying that the side lengths that are as small as they can be will result in the largest perimeter. We have no way of telling if her assumption of integer side lengths is appropriate. If it is not, her statement makes no sense.
What is the product of −2 2/5 and −3 5/6?
A. -9 1/5
B. -6 7/30
C. 6 1/3
D. 9 1/5
Answer:
i think its D but not really sure
Step-by-step explanation:
Prove that: (1+cot^2x)tan^2x = sec^2x
Answer:
Step-by-step explanation:
[tex]1+cot^2x = csc^2x= \frac{1}{sin^2x}[/tex]
it becomes
[tex]\frac{1}{sin^2x}*\frac{sin^2x}{cos^2x}=\frac{1}{cos^2x}=sec^2x[/tex]
Done
please help quickly
Answer:
question 1) Add 7/4 to both sides. question 2) Divide 4 by both sides. question 3) x=15
Step-by-step explanation:
4. Joanna bought 3 mini cakes for a birthday party. She cuts each cake into quarters and plans to
serve each guest 1 quarter of a cake. How many guests can she serve with all her cakes?
Write a division expression and draw a picture to support your response.
Answer:
she can serve 12 guest with her cakes
Step-by-step explanation:
if 1 cake is cut into 4 peices
3 cakes will be cut into 12
What is 4.75 x 10^11
Answer:
=4.75x^100000000000
Can somebody give me the answers to all of theseeeeee plsssss rn
Solution,
3x^2+5x-6+(-x^2+3x+9)= 3x^2+5x-6-x^2+3x+9
= 3x^2-x^2+5x+3x-6+9
=2x^2+8x+3
2. x^2-10x-24
= x^2-(12-2)x-24
= x^2-12x+2x-24
= x(x-12)+2(x-12)
=(x-12)(X+2)
3. 3x^2-9x
take the common,
= 3x(x-3)
Hope it helpsGood luck on your assignmentTriangle triangle A^ prime B^ prime C^ prime is the image of triangle ABC under a dilation What is the scale factor of the dilation
Answer:
2
Step-by-step explanation:
The scale factor of the dilation of triangle ABC into the triangle A^ prime B^ prime C^ prime is 2.
What is scale factor?Scale factor is the factor which is used to enlarge or smaller the original figure. Scale factor is the ratio of representation measurement of the figure to the original figures.
Triangle A^ prime B^ prime C^ prime is the image of triangle ABC under a dilation.
The height of the triangle ABC is 5 units (blocks) and the height of the dilated triangle A'B'C' is 10 units. Thus, the scale factor is,
[tex]k=\dfrac{10}{5}\\k=2[/tex]
Hence, the scale factor of the dilation of triangle ABC into the triangle A^ prime B^ prime C^ prime is 2.
Learn more about the scale factor here;
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Four students graphed one linear function each.
Rhett
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 1).
Cameron
On a coordinate plane, a line goes through points (0, 4) and (1, 0).
Ellis
On a coordinate plane, a line goes through points (0, negative 4) and (2, 0).
Braden
On a coordinate plane, a line goes through points (0, 1) and (4, 0).
Which student graphed a linear function with a y-intercept at –4?
Rhett
Cameron
Ellis
Braden
Answer:
ellis
Step-by-step explanation:
The student who graphed a linear function with a y-intercept at -4 is Ellis.
Option C is the correct answer.
We have,
The student who graphed a linear function with a y-intercept at -4 is Ellis.
Looking at the given information, Ellis's line goes through points (0, -4) and (2, 0).
The y-coordinate of the y-intercept is -4, which matches the requirement.
Therefore, Ellis is the student who graphed a linear function with a y-intercept at -4.
Thus,
The student who graphed a linear function with a y-intercept at -4 is Ellis.
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Gasoline price is $2.80 per gallon in August. The price increased by 15% in September, dropped 5% in October and dropped another 10% in November. What was the gasoline price in November?? Show work
Answer:
Gasoline price is $2.80 per gallon in August.
The price increased by 15% in September,
dropped 5% in October
and dropped another 10% in November.
The gasoline price in November would be:
2.8 x (1 + 15/100) x (1 - 5/100) x ( 1 - 10/100) = 2.7531
Hope this helps!
:)
Answer:
$2.7531
Step-by-step explanation:
Please refer to the picture above.
When solving such procedural questions, you should do it step by step. Diagrams like tables can help you visualise the process to avoid making mistakes.
Help is needed! Is f(x) a function?
Answer:
False
Step-by-step explanation:
This is not a function
The same x value goes to 2 different y values
5 goes to both 2 and 1
This is not a 1 to 1 correspondence
Answer:
False
Step-by-step explanation:
A function has only one input for every output. 5 has two
10 Which of the following represents the
domain of the function F(x) = 2x + 15?
3
Answer:
Domain is x ∈ R
Step-by-step explanation:
There weren't any options given, but for f(x) = 2x + 15, the domain is x ∈ R.
This is because the graph is a linear function, which exists for all values of x. You can express this in lots of different ways, but R (all reals) is the conventional way to do it.
In case you don't know what a domain is: it is a set of numbers that the x-values of an equation can fit into.
Example:
f(x) = [tex]x^{2}[/tex] -> x ∈ R
This is because, if you draw a quadratic graph, you can see that the values of x are neverending.
Hope this helped : )
What are the x- and y- coordinates of point P on the directed line segment from A to B such that P is Two-thirds the length of the line segment from A to B? (2, –1) (4, –3) (–1, 2) (3, –2)
Answer: (4,-3) B
Step-by-step explanation:
Answer:
(4, –3) or B
Step-by-step explanation:
i just took the test!
LAST QUESTION!!!!!! WILL GIVE BRANLIEST!!!!! PLS JUST TAKE A LOOK!!!!!! SHARE YO SMARTNESS!!!!!!!!
6. Why is angle 1 congruent with angle C in the diagram?
A) They interior angles to the triangle.
B) They are vertical angles.
C) They are exterior angles to the triangle.
D) They are corresponding angles.
Answer:
C
Step-by-step explanation:
They are opposite angles and opposite angles are the same amount.
The answer is C because they are on the outside of the triangle.
Outside = Exterior
solve for the width in the formula for the area of a rectangle
ك ل و، مثلث قائم الزاوية في ل ك ل=٥ ، ول=٧، س منتصف الوتر ك و جد طول س ل
Answer:
س ل = 4.3
Step-by-step explanation:
هتسرم وتعين بالمسطرة ^_^
Slove 6 3/8 - 6/8 help please
Answer:
5 5/8
Step-by-step explanation:
6 3/8 - 6/8
The denominators are the same, so we borrow from the 6
Borrw 1 in the form 8/8
6 + 8/8 +3/8 - 6/8
5 11/8 - 6/8
5 5/8
Is AABC AXYZ? If so, identify the similarity postulate or theorem that
applies
Answer:
Similar-AA
Step-by-step explanation:
If you know 2 angles of the triangle you automatically know the third. If all the corresponding angles of two triangles are the same, they are similar.
(p.s. This sign ~ means similar)
Weiming invests S4000 in a savings scheme that pays simple interest at a rate of 2% per annum.
Calculate the time taken for his investment to grow to $4400.
Answer:
55 YRS
Step-by-step explanation:
T=INTEREST X 100%/PRINCIPAL X RATE
T=4400X100%=440000%/4000 X 2%
T=440000%/8000%
T=55 YRS
