At the base of a pyramid, a surveyor determines that the angle of elevation to the top is °. At a point meters from the base, the angle of elevation to the top is °.
Answers
Answer:
[tex]\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}[/tex]
Step-by-step explanation:
Incomplete question:
[tex]\angle CBD = 53^\circ[/tex]
[tex]\angle CAB = 35^\circ[/tex]
[tex]AB = 75[/tex]
See attachment for complete question
Required
Determine the equation to find x
First, is to complete the angles of the triangle (ABC and ACB)
[tex]\angle ABC + \angle CBD = 180[/tex] --- angle on a straight line
[tex]\angle ABC + 53= 180[/tex]
Collect like terms
[tex]\angle ABC =- 53+ 180[/tex]
[tex]\angle ABC =127^\circ[/tex]
[tex]\angle ABC + \angle ACB + \angle CAB = 180[/tex] --- angles in a triangle
[tex]\angle ACB + 127 + 35 = 180[/tex]
Collect like terms
[tex]\angle ACB =- 127 - 35 + 180[/tex]
[tex]\angle ACB =18[/tex]
Apply sine rule
[tex]\frac{\sin A}{a} = \frac{\sin B}{b}[/tex]
In this case:
[tex]\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}[/tex]
This gives:
[tex]\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}[/tex]
Step-by-step explanation:
sin18
∘
)
=
x
(sin35
∘
)
Step-by-step explanation:
Incomplete question:
\angle CBD = 53^\circ∠CBD=53
∘
\angle CAB = 35^\circ∠CAB=35
∘
AB = 75AB=75
See attachment for complete question
Required
Determine the equation to find x
First, is to complete the angles of the triangle (ABC and ACB)
\angle ABC + \angle CBD = 180∠ABC+∠CBD=180 --- angle on a straight line
\angle ABC + 53= 180∠ABC+53=180
Collect like terms
\angle ABC =- 53+ 180∠ABC=−53+180
\angle ABC =127^\circ∠ABC=127
∘
\angle ABC + \angle ACB + \angle CAB = 180∠ABC+∠ACB+∠CAB=180 --- angles in a triangle
\angle ACB + 127 + 35 = 180∠ACB+127+35=180
Collect like terms
\angle ACB =- 127 - 35 + 180∠ACB=−127−35+180
\angle ACB =18∠ACB=18
Apply sine rule
\frac{\sin A}{a} = \frac{\sin B}{b}
a
sinA
=
b
sinB
In this case:
\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}
AB
sinACB
=
x
sinCAB
This gives:
\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}
75
(sin18
∘
)
=
x
(sin35
∘
)
Related Questions
What would it be? thank you
Answers
Answer:
C = 43.98 inches; A = 153.94 square inches
Step-by-step explanation:
2*pi*(7)=43.98
pi*(7)^2=153.94
A six-sided die is rolled 150 times.
Which of the following BEST describes how many times it is likely to land on an odd number
А
exactly 50 times
exactly 75 times
С
approximately 50 times
D
approximately 75 times
C
Kk
Answers
Answer:
approximately 75 times
Answer:
approximately 75 times
Step-by-step explanation:
Which of these correctly rearranges the terms in this polynomial so like terms are next to each other
Answers
Question is not complete, so i have attached it.
Answer:
B: -2x² - 6x² - 6x + 3x + 3 + 2
Step-by-step explanation:
From the image attached, the given polynomial is;
3 - 6x - 2x² + 3x - 6x² + 2
For like terms to be next to each other, we have to rearrange it as follows;
-2x² - 6x² - 6x + 3x + 3 + 2
Like terms are x² and x, thus they are now arranged next to each other.
The only option that corresponds to our answer is option B
will give brainlist
Answers
Answer:
second answer
Step-by-step explanation:
yards is commonly used for large sparse area measurements
pls help me, i will actually give BRAINLIEST:
What is the transformation shown in the graph?
Answers
Answer:
Step-by-step explanation:
it's rotated by 90° about the origin , in a clock wise direction
Two angles of a quadrilateral measure 110° and 120°. The other two angles are in a ratio of
3:10. What are the measures of those two angles?
Answers
Answer:
30, 130
Step-by-step explanation:
sum of internal angles in a quadrilateral is 360.
sum of other two angles
[tex] = 360 - (120 + 110) \\ = 360 - 230 \\ = 130[/tex]
which sign do i use??/
Answers
Mark is increasing his exercise routine by running and walking at least 4 miles each day. His goal is to burn a minimum of 1,500 calories from this exercise. Walking burns 270 calories/mile and running burns 650 calories. Could he meet his goal by walking 3 miles and running 1 mile?
Answers
Answer:
No
Step-by-step explanation:
1. (270 * 3) + (650 * 1)
2. 810 + 650
3. 1,460 miles. Therefore, by doing this, Mark would have trekked 1,460 miles.
4. 1500 > 1460, so Mark would not meet his goal by doing this.
The cost to rent a tuxedo is a flat charge of $60 plus $5 for every one possession. If Gary spends $95, how many hours was the tuxedo in his possession? How much will he spend if he keeps it for 24 hours? Write an equation in order to find your answer and write to explain your thinking.
Answers
Answer:
Tehhehheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
solve for y
2y-13=11
Answers
Answer:
y = 12
Step-by-step explanation:
2y - 13 = 11
add
2y = 24
divide
y = 12
2y - 13 = 11
+ 13 + 13
-----------------------
2y = 24
/2 /2
-----------------------
y = 12
I need help with this question, I already know the answer but I need someone to explain step by step
Question: 3x-y=5
Answer: y=3x-5
Answers
Answer:
y=3x-5
Step-by-step explanation:
so step by step would go like this
1) add Y to the opposite side
3x=Y+5
2)Subtract 5 from the side with Y
y=3x-5
The radius of a circle is 17 in. Find its area in terms of π.
Answers
A≈907.92in²
Because:
A=πr2=π·172≈907.92028in²
Answer:
289π or 907.46 in
Step-by-step explanation:
The formula for area of a circle is π r².
The radius is 17, so the first step is 17².
17²= 289
Next, you multiply 289 by pi (3.14).
3.14 x 289 = 907.46.
Therefore, the area in terms of pi is 289π or 907.46 in.
Write a function rule for the values in the table
10
10
12
20
18
50
20
60
y=
Answers
Answer:
y = 5x - 40
Step-by-step explanation:
The function rule can be written in slope-intercept form, y = mx + b.
Let's find slope (m) and y-intercept (b) of the function, using the values given in the table.
✔️Slope (m) = change in y / change in x
Using two pair of values from the table, (10, 10) and (12, 20),
Slope (m) = (20 - 10) / (12 - 10) = 10/2 = 5
Slope (m) = 5
✔️ y-intercept (b):
Substitute (x, y) = (10, 10) and m = 5 into y = mx + b.
Thus:
10 = 5(10) + b
10 = 50 + b
10 - 50 = b
b = -40
✔️Write the function by substituting m = 5 and b = -40 into y = mx + b
Thus:
y = 5x + (-40)
y = 5x - 40
Factorice lo siguiente
5
Answers
Answer:
61
Step-by-step explanation:
marque esta respuesta como la más inteligente
Factorize this question
Answers
Answer: (3a+5b)(3a−5b)(a+b)(a−b)
Step-by-step explanation:
Factor 9a4−34a2b2+25b4
9a4−34a2b2+25b4
=(3a+5b)(3a−5b)(a+b)(a−b)
The measure of two angles are (3x+50) and (4x - 10). What must be true
about the angles if x = 20? What is the sum of their measures?
Answers
Answer: The two angles add up to 180 so they are supplementary angles.
The sum of their measures is 180 degrees.
Step-by-step explanation:
Plug in given value for x.
x=20
(3x+50)=
(60+50)=110
110
(4x-10)=
80-10=70
70
There are several true things about these angles you can find from this information but I think you are looking for the answer at top.
The local pizza restaurant offers free delivery if you live within a 6-mile radius of the restaurant. The restaurant is located at the origin. Ada’s house is 4 miles west and 5 miles north of the restaurant at point (–4, 5). Does Ada’s house lie on or within the circle representing the area that gets free delivery?
a. No, the distance from the restaurant to Ada’s house is miles, which is greater than the 6-mile maximum radius.
b. Yes, the distance from the restaurant to Ada’s house is exactly 6 miles.
c. No, the distance from the restaurant to Ada’s house is 7 miles, which is greater than the 6-mile maximum radius.
d. Yes, the distance from the restaurant to Ada’s house is miles, which is less than the needed 6-mile radius.
Answers
Answer:
A.......No, the distance from the restaurant to Ada’s house is miles, which is greater than the 6-mile maximum radius
Step-by-step explanation:
Using the distance between two points, it is found that the correct option regarding whether Ada’s house lie on or within the circle representing the area that gets free delivery is given by:
a. No, the distance from the restaurant to Ada’s house is [tex]\sqrt{41}[/tex] miles, which is greater than the 6-mile maximum radius.
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this problem, we want to find the distance between the restaurant at the origin (0,0) and Ada's house at point (-4,5), hence:
[tex]d = \sqrt{(5 - 0)^2 + (-4 - 0)^2} = \sqrt{41} > 6[/tex]
Greater than 6 miles, hence option a is correct.
More can be learned about the distance between two points at https://brainly.com/question/18345417
Can someone help me on this plzzz
Answers
10(6)-3
=60-3
=57
There were 5 girls and 22 boys in Mrs. Pantoja's math class.
Write the number of girls as a fraction of the number of boys. Then write the
fraction as a decimal.
Answers
Answer:
5/22 and for the decimal it will be, 0.22727272727273.
Step-by-step explanation:
Can someone please help me with math.
Answers
Answer:
6. B
7. D
Step-by-step explanation:
[tex]\sqrt{4}[/tex] = 2
Point A Before: ( 1 , 3 )
1 - 4 = -3
3 - 2 = 1
( -3 , 1 )
hope this helps
In the accompanying diagram of circle O, mAB = 64 and
m
What is the measure of CD?
A 104°
B 80°
C 52°
D 40°
Answers
Answer:
D 40°
Step-by-step explanation:
52= X + 64 /2
*2. *2
104 = X + 64
-64 -64
40 =X
❗❗❗❗After the February phase of the revolution, what major mistake did the new provisional government make that would make it more susceptible to being overthrown?
ASAP Giving you 100 points ❗❗❗❗
Answers
Answer: c
Step-by-step explanation:
Answer:
again, did some reading, they make note of continuing battle to support Serbia. I saw nothing of Japan. so my calculated guess would be the 2nd one. to continue in battle even with heavy casualties
Step-by-step explanation:
doesn't mean I'm right though.
Bob drew a line he thought was close to many of the points and found the equation of the line. He used the points (165, 168) and (174, 178) on his line to find the equation. What is the equation of Bob’s line? If entering decimal values, round to the tenths place.
What does Bob’s equation predict for the height of a person with an arm span of 162 cm? If entering a decimal value, round to the tenths place.
Answers
Answer:a
Step-by-step explanation:
Answer:
y = (10/9)x - 138/9
Height of 164.7 cm for an arm span of 162 cm
Step-by-step explanation:
First we find the slope. (178 - 168)/(174 - 165) = 10/9
Now use the point-slope form of a line
y - 168 = 10/9(x - 165)
9y - 9(168) = 10(x - 165)
9y - 1512 = 10x - 1650
9y = 10x - 138
y = (10/9)x - 138/9
If the arm span is 162 cm, then x = 162
y = (10/9)(162) -138/9
= 180 - 15.3
= 164.7 cm
What is the value of x in the equation −8 + x = −2? (1 point)
−10
−6
6
10
Answers
-8+=-2
X-8=-2
X-8+8=-2+8
X-8+8=-2+8
X=-2+8
Simplified to 6
Fill in the blank with the equation of the line shown for each representation below (y = mx + b). **Pay attention to the scale on the x and y axes!
Answers
Answer: y=-3/4x+2
Step-by-step explanation:
Use rise over run, which is a method you use to find the slope. you find out how much the y value has changed over x.
Take the two points in the graph, (0, 2) and (4, -1). then you want to find the difference in the x and y.
X: 0 - 4 = -4
Y: 2 - (-1) = 3
Then do the equation y/x.
3/-4 = -3/4
That's the slope. Now locate the point at x=0.
The point is already given (0, 2). This is the y-intercept.
Plug in the slope and y-intercept into y=mx+b.
y=-3/4x+2
How do I solve x squared 3 + 4 when x = 6
Answers
Answer:
Step-by-step explanation:
3 + 4 x = 6
Plot:
Plot
Alternate forms:
4 x = 3
4 x - 3 = 0
Number line:
Number line
Solution:
x = 3/4
if 5 bags of sugar with equal weight weigh 35 kg, how many bags of sugar would weigh 56 kg?
Answers
Answer:
8 bags
Step-by-step explanation:
If 5 bags equal 35 kg, then each bag will weigh 35/5 or 7 kg. If there are 56 kg and you want to find the number of bags, you divide 56 by 7 and you get 8.
WHICH OF THE FOLLOWING ANGLES CANNOT BE CONSTRUCTED USING
RULER AND COMPASSES?
(a) (b) 85 (c) 15 (d) 135
Answers
James had $43 on his birthday he received $25. Write and solve and equation to find out how much money he has now.
Answers
Answer:
43+25=68
Step-by-step explanation:
7/3 + x=3;x math I really need help
Answers
Given:
The equation is:
[tex]\dfrac{7}{3}+x=3[/tex]
To find:
The value of x.
Solution:
We have,
[tex]\dfrac{7}{3}+x=3[/tex]
Subtract both sides by [tex]\dfrac{7}{3}[/tex].
[tex]\dfrac{7}{3}+x-\dfrac{7}{3}=3-\dfrac{7}{3}[/tex]
[tex]x=\dfrac{9-7}{3}[/tex]
[tex]x=\dfrac{2}{3}[/tex]
Therefore, the value of x is [tex]\dfrac{2}{3}[/tex] or it can be written as 0.667.