The correct measurements of the surveyors movement from all the options are; m∠b = 15° and h ≈ 31.28 ft
What are the correct elevation measurements?
From the image attached, we see that;
A surveyor found the angle of elevation from the ground to the top from a point = 33°
Now, the surveyor moves 20 ft towards the building and the angle of elevation becomes 48°. This means that ∠A and 48° are supplementary to each other.
Thus;
∠A + 48° = 180°
∠A = 180 - 48
∠A = 132°
From sum of angles in a triangle;
∠B + 33° + 132° = 180°
∠B = 180 - 165°
∠B = 15°
Using sine rule, we know that;
sin 33/C = sin B/20
Thus;
sin 33/C = sin 15/20
Solving for C gives;
C = 42.22
From trigonometric ratios, h/c = sin 48
h = 42.22 sin 48
h = 31.28 ft
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Answer:
2 and 5
Step-by-step explanation:
Which of the following most accurately describes the polygon in the diagram?
Answer:
I do not understand either
MATH
can somebody help me with these questions?
33-90 divided by 3 HELP ASAP PLS
A survey asked students whether they preferred to read on paper (P) or using electronic devices (E). Based on the survey, if a junior or senior is selected at random, what is the probability that the student prefers to read using an electronic device?
In the survey on students, the probability that the student prefers to read using an electronic device is 0.46 or 46%.
What is probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
A survey asked students whether they preferred to read on paper (P) or using electronic devices (E).
Based on the survey, if a junior or senior is selected at random. Here,
Total number of students is 240.Total number of student prefers to read using an electronic device is 110.Thus, the probability that the student prefers to read using an electronic device is,
[tex]P=\dfrac{110}{240}\\P=0.46[/tex]
Thus, in the survey on students, the probability that the student prefers to read using an electronic device is 0.46 or 46%.
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Translate each verbal phrase into an algebraic expression:
1. 6 inches by the number n
What is a difference of squares that has a factor of x 8? x2−4 x2−16 x2−64 x2−256
Answer:
(c) x² -64
Step-by-step explanation:
The factoring of the difference of squares is one of the special forms we use in the study of polynomials. It tells you ...
a² -b² = (a +b)(a -b)
__
You have a factor (x +8), so a=x, b=8, and the "expanded" form is ...
a² -b² = x² -8² = x² -64
Answer:
x^2-64
Step-by-step explanation:
just did the test
The total cost for one year at the state university is $22,500. a student has the following help in covering the costs of school. an academic scholarship for $10,000. other scholarships and grants for $4,400. parents pay $1,800. what is the amount that the student will need to save every month in order to pay off the remaining costs in 10 months?
Answer:
$630 Per Month
Step-by-step explanation:
$22,500-$10,000=$12,500-$4,400=$8,100-$1,800=$6,300/10Months
=$630
8. In July 2008, the united states had a population of approximately 302,00,000 people. How many Americans were there in July
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
8in³
Step-by-step explanation:
Volume is given as the product of surface area and height.
V=Ah
Where h is height and A is surface area. Here, the surface area is given 1 square inches and the height is 8 inches then the volume will be given as
V=1*8=8 cubic inches
Therefore, the volume of the bird feeder is equal to 8 cubic inches
Need help with this geometry question asap!
Answer:
Height = 18 units
Step-by-step explanation:
Given :
Volume= 162pi, radius= 3 units
We know,
Volume of Cylinder= Pi * (radius)^2*h
now you can substitute, (P.S: dont put the value of pi as it will get cancelled)
162 pi = pi* (3)^2* h
162= 9h
∴h= 162/9= 18
∴ height is 18 units.
Hope it helps. But I am not sure if the answer is correct or not.
Answer:
[tex]v = \pi \: {r}^{2} h \\ where \: v = 162\pi \: \\ r = 3 \\ h = \frac{v}{ {r}^{2} } \\ h = \frac{162}{9} \\ h = 18 units[/tex]
Can you answer number 29 please?
Answer:
a. 90
b. 40
c. 55
d. 6
e. 72
Step-by-step explanation:
a: This is a rectangle so all the full corners are 90 degrees. ABC is a corner angle.
b: 1 and 3 are the congruent angles so 3 has the same measure as 1.
C: 1 is a part of the corner, which adds up to 90 degrees. That means angle 2 and angle 1 should add up to 90. They say m<1= 35, so 90-35=55.
d. In a rectangle, the interesecting lines have the same length. AC is 12, so then DB is 12. However, DE is halfway. Half of 12=6.
e. This one has a few steps. Angle 1 is 36, and angle 2 is the other part to the 90 degree corner. 90-36= 54. That gives us angle 2. We know all angles in a triangle add up to 180 degrees. The angle across from angle 2 in the same triangle is the same value, so that is also 54. To find angle 5, it must add up to 180 degrees. 54+54+x=180, in other words. 54+54=108. 180-108=72.
please help me im confused
Step-by-step explanation:
x = 5
x = -7
x = 18
x = 14
these are the answers, comment if you still have doubts.
Your bill at a restaurant is $42.70. If you were to tip 20%, how much will you tip? What is the total with tip?
Lisa is buying a cover for her patio table. If the table is 5 feet on all sides, what is the area of the cover?
Answer:
25 units squared
Step-by-step explanation:
Area is length times width. The table is in the shape of a square, so 5*5 = 25 units squared.
Surah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 13 people took the trip. She was able to purchase coach tickets for $240 and first
class tickets for $1180. She used her total budget for airfare for the trip, which was $11,580. How many first class tickets did the buy? How many coach tickets did she buy?
Question 1.number of first class tickets bought -
Answer:
781.54
Step-by-step explanation:
240+1180= 1420
11580-1420 = 10160
10160÷13 ~=~ 781.54
PLACE as brainliest
Answer:
9 first class tickets
4 coach tickets
Step-by-step explanation:
Let x = number of first class tickets bought
Let y = number of coach tickets bought
Given:
A total of 13 people took the trip⇒ x + y = 13
Given:
Total cost of first class tickets = $1180Total cost of coach tickets = $240 Total budget = $11,580⇒ 1180x + 240y = 11580
Rewrite first equation to make y the subject:
⇒ y = 13 - x
Substitute this into the second equation and solve for x:
⇒ 240(13 - x) + 1180x = 11580
⇒ 3120 - 240x + 1180x = 11580
⇒ 940x = 8460
⇒ x = 9
Therefore, 9 first class tickets were bought.
To find the number of coach tickets bought, simply substitute the found value of x into equation 1 and solve for y:
⇒ 9 + y = 13
⇒ y = 4
Therefore, 4 coach tickets were bought.
HELP I WILL GIVE 23 POINTS THIS IS REAL QUESTION
Answer:D)6
Step-by-step explanation:
help me plsss i need to do it fast 12 min left help me pls
Answer:
$44
Step-by-step explanation:
She has 79 AFTER her grandfather gave her 35. So you would subtract 35 from the 75 and get $44
Answer:
you're correct it's 44 you do 79 - 35 and you get 44
At the park there
is a merry-go-round with a radius of 6 feet.
What is the circumference?
Answer:
Step-by-step explanation:
r=6ft; c=2pi(6)=12pi ft
put into calculator, you get 37.7 ft
Anyone help me please
Answer:
2,799 square cm
Step-by-step explanation:
Volume of cone: (1/3)π(9^2)(40)=1,080π
Volume of cylinder: π(3^2)(21)=189π
1,080π - 189π = 891π = 2799.2 square cm
Explain how you would find the perimeter of this triangle.
Answer:
15.4
Step-by-step explanation:
[tex]\frac{u}{4}[/tex] = tan51.3° ⇒ u = 4tan51.3° ≈ 5
[tex]\frac{4}{v}[/tex] = cos51.3° ⇒ v = [tex]\frac{4}{cos51.3}[/tex] ≈ 6.4
P ≈ 4 + 5 + 6.4 = 15.4
The perimeter of the triangle is 18.56.
What is the perimeter of triangle?The perimeter of the triangle is addition of all three sides.
Given:
The sides of angle is 4, u and v.
The angle of triangle is 51.3 degree.
For finding the value of u and v.
[tex]tan\theta=\frac{opposite}{Adjacent}[/tex]
tan 51.3 = u/4
1.682 =u/4
u = 6.72
[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]
cos 51.3 = 4/v
0.51 = 4/v
v = 7.84
Perimeter = u + v + 4
= 6.72 + 7.84 + 4
= 18.56.
Therefore, the perimeter of this triangle is 18.56.
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x² +12x+27 = 0
Find the roots of each equation by factoring
Answer:
x = -9, -3
Step-by-step explanation:
[tex] {x }^{2} + 12x + 27 = 0[/tex]
[tex](x + 3)(x + 9) = 0[/tex]
x = -3, -9
Answer:
-3 and -9
Step-by-step explanation:
Standard quaratic form: a² + bx + c = 0
x² + 12x + 27 = 0
find 2 numbers that multiply to 27 (the c-value), but add to 12(the b-value);
The numbers will be 9 and 3, since;
9 x 3 = 27
9 + 3 = 12
Now we can put these numbers in the standard factor form: (x + p) (x + q);
(x + 9) (x + 3) = 0
Now we can set each part equal to 0 and solve;
x + 9 = 0 => x = -9
x + 3 = 0 => x = -3
So the roots are;
-3 and -9
Hope this helps!
PLEASE HELP!! IM ON THE LAST QUESTIONNNN ( 30 points!)
[tex]~~~~~\pi r^2 = 513\\\\ \implies r = \sqrt{\dfrac{513}{\pi}}\\\\ \implies r= \sqrt{\dfrac{513}{3.14}}\\\\\implies r=12.78~ \text cm.}\\\\\text{Hence the radius is 12.78 cm.}[/tex]
Answer:
Step-by-step explanation:
Area of circle = πr²
[tex]\sf \boxed{r =\sqrt{ \dfrac{Area}{3.14}}}[/tex]
[tex]\sf r =\sqrt{\dfrac{513}{3.14}}\\\\r = \sqrt{163.38}\\\\r = 12.78 \ cm[/tex]
WILL GIVE 5 STARS ON YOUR ANSWER AND A THANK YOU!!!
Answer:
I would say its B)13.50
Step-by-step explanation:
I say this because he has to buy a ticket for each person continuously so thats why I say this is the constant term added to/ subtracted from the variable term.
Hope this helped! :)
You are making a cover for the rectangular sofa cushion. How much fabric do you need to cover the entire cushion?
5 in.
48 in.
20 in.
Answer:
Measure the height of the cushion if you are covering a box cushion. Multiply the width of the cushion by two and the depth of the cushion by two, and add those numbers together to figure out how much fabric you will need to make the sides, front and back of the box cushion. Add 2 inches for seam allowances.
Step-by-step explanation:
Write an equation of the line in Slope-int form y= 1 /2x+1
PLEASE ANSWER ASAP GIVEING BRAINLIST
What statement is true about the frequency distribution below?
A.
It has an outlier.
B.
It has 3 modes.
C.
It has a median equal to the mean.
D.
It has a symmetric distribution.
In the circle above, the radius (x) is 15 centimeters. Find the area of the shaded sector. Round to the nearest tenth.
Step-by-step explanation:
125°/360°×π×15²
=245.44cm²
Which table represents a linear function?
The small boxes in Figures A and B at the right are
congruent squares. The perimeter of Figure A is
48 inches. What is the perimeter of Figure B?
(The perimeter of a figure is the distance around it.)
E
Answer:
60 inches
Step-by-step explanation:
In diagram A, the perimeter (outer edge) is made of 16 sides of the boxes.
48/16=3, so each side is 3 inches.
In diagram B, the perimeter is made of 20 sides.
20x3=60
(D) How do you write 6
20
as a percentage?
Answer:
62%
Step-by-step explanation:
10 000 ÷ 100 = 100
620 ÷ 100
= 62%