Answer:
Given, x = 2 and z = 12
z + 5x³
12 + 5×2³
12 + 5×8
12 + 40
52
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An engineer stands 50 feet away from a building with a surveying device mounted on a tripod. if
the surveying device is 5 feet above the ground and the angle of elevation is 50°, find how tall is
the building.
Answer:
The building is 64.6 feet tall.
Step-by-step explanation:
To determine the height of the building, let the height from the top of the building to the top of the tripod be represented by x. So that;
Height of the building = x + 5
But,
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan [tex]50^{o}[/tex] = [tex]\frac{x}{50}[/tex]
x = 50 x Tan [tex]50^{o}[/tex]
= 50 x 1.1918
= 59.59
x = 59.59
Height of the building = x + 5
= 59.59 + 5
= 64.6 ft
The height of the building is 64.6 feet.
. The face of a dog is symmetrical along the bridge of its nose, which falls on the line of symmetry
that extends directly between the eyes. If a dog's left eye is 4 inches from the bridge of its nose,
how far is the dog's right eye from its left eye?
Answer:
8
Step-by-step explanation:
line of symmetry indicates equal measurements between both sides, 4 from eye not nose and another 4 from the nose to eye
Robert wrote 27 checks in April. The bank charges $0.18 a check. The monthly service charge for the checking account is $7. What is the total of the fees Robert pays in April on his checking account?
Answer:
his fees that he will pay in april on his checking account is 34.02$
Step-by-step explanation:
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answer:
Long= [tex]2\sqrt{3}[/tex]
Step-by-step explanation:
This is a 30-60-90 right triangle, which has a special rule that would be very useful to memorize for the future. Take a look at the attached image.
From this, we can deduce that
hypotenuse=2*2=4, and
long= [tex]2\sqrt{3}[/tex]
Mark stated that the slope of the line that passes through these two points (1, -19) and (-2, -7) is -¼. Is Mark correct? Explain. (show your work).
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Answer:
no
Step-by-step explanation:
The slope formula is ...
m = (y2 -y1)/(x2 -x1)
We can use the values ...
(x1, y1) = (1, -19)
(x2, y2) = (-2, -7)
Putting these into the formula gives ...
m = (-7 -(-19))/(-2 -1) = 12/-3 = -4
The slope is -4, not -1/4. Mark is incorrect.
find the surface area to the nearest tenth
what is 3times9 3/5 as a mixed number
6. Determine the measures of the unknown angles in the figure.
73°
2°
26
75°
list at least 4 attributes that are shared by all of the shapes in the rectangle group
Answer:
All of the figures have 4 sides and 4 vertices
They have opposite sides parallel and congruent.
They have four right angles.
They also have perpendicular line segments.
Step-by-step explanation:
Hope this helps!!!
Brainliest for correct answer
Answer:
I think 1
Step-by-step explanation:
If I'm wrong I'm sorry I haven't done this since middle school
what is 4=y−5 divided by 3
( the problem is written different it could also be read ad 4=y-5/3 i think because there is like a long line under the y-5 an under the line its 3 plz help
Answer:
y=17
Please mark me as brainliest.
What is the equation of the line that best fits the given data? A graph has points (negative 3, negative 3), (negative 2, negative 2), (1, 1.5), (2, 2), (3, 3), (4, 4). a. y = 2 x + 1 c. y = x + 1 b. y = x d. y = negative x Please select the best answer from the choices provided A B C D
Answer:
it's B on edge
Step-by-step explanation:
I took one for the team
Answer:
Step-by-step explanation:
HELPP!! the 4 on top isn’t supposed to be there
Answer:
12 ANJIRRTOLOLLSKALIII
Point Q is located at (-9, 10).
Where is Q' after a translation
4 units right and 11 units down?
Answer:
(-5, -1)
Step-by-step explanation:
Moving towards the right makes a number more positive for x and moving down makes numbers more negative for y
In the right triangle shown, find x.
PLEASE HELP!!!!
Alright I’m not smart please help
Answer:
98 sq. in.
Step-by-step explanation:
Area of Triangle formula : 1/2 x Base x Height
1/2 x 14 x 14 =98
A group of 19 boys and 18 girls are attending a pottery class. Each pottery table can seat 6 people.
What is the least number of tables needed to seat the group?
Answer:
7
Step-by-step explanation:
37 People / 6 is 6.18 Rounded up is 7
Ebru is an entrepreneur. She plans to start 2 different very small businesses in the next year. Both businesses are independent of each other, and each business has a 50%, percent chance of being successful and a 50%, percent chance of failing.
Each business will make Ebru $200 if it succeeds or lose her $200 if it fails.
if X is a random variable that represents Ebru's profit from starting these 2 businesses, draw a graph to show the probability distribution for all possible values of X.
Answer:
Step-by-step explanation:
Eric starts with 10 milligrams of a radioactive substance. The amount of the substance
decreases by 1 ¿ each week for a number of weeks, w. He writes the expression
10)" to find the amount of radioactive substance remaining after w weeks.
Andrea starts with 1 milligram of a radioactive substance. The amount of the
substance decreases by 20% each week for a number of weeks, w. She writes the
expression (1
0.2)" to find the amount of radioactive substance remaining after W
weeks.
Use the drop-down menus to explain what each part of Eric's and Andrea's
expressions mean.
Answer:
ok m
Step-by-step explanation:
ok
Answer:
Step-by-step explanation:
In a cookie jar, 1/4 of the cookies are chocolate chip and 2/3 of the rest are peanut butter. What fraction of all the cookies is peanut butter?
Answer:
1/2 of the cookies are peanut butter.
Step-by-step explanation:
Since 1/4 of the cookies are chocolate chip, this leaves the other 3/4 of the jar, which is equivallent to 75/100. Since 2/3 of 75 is 50, or, 1/2, the answer is 1/2.
3. ELLIPSE
CENTER = (-1,2)
MAJOR AUIS IS HORIZONTAL
AND HAS LENGTH OF 10
PASSS THROUGH (-1,5)
4. HYPERBOLA
VERTICES : (-2,-4)
(-2,6)
FOU:(-2,-5)
(-2,7)
Answer:
FFFFFFFFFFFFFFFFFFFFFFFF
11. If you randomly selected 500 U.S. homes, about
how many would be heated with fuel oil?
Answer:
50
Step-by-step explanation:
Given
Total number of US houses = 500
If 10% were affected by fuel oil
Total number affected by fuel oil = 10% of 500
Total number affected by fuel oil = 0.1 * 500
Total number affected by fuel oil = 50
Hence 50 houses were affected by fuel oil
The roots of the equation 2x^2 + 4= 9x are imaginary?
The final statement is: The quadratic equations has real roots.
What are quadratic equations?A quadratic equation can be written in the standard form as ax2 + bx + c = 0, where a, b, c are constants and x is the variable. The values of x that satisfy the equation are called solutions of the equation, and a quadratic equation has at most two solutions.
Given here: 2x²+4-9x=0
2x²-9x+4=0
2x²-8x-x+4=0
2x(x-4)-1(x-4)=0
(2x-1) (x-4) =0
Therefore the roots of the equation are 1/2 and 4 which are not imaginary.
Hence, The quadratic equations has real roots.
Learn more about quadratic equations here:
https://brainly.com/question/17177510
#SPJ1
Please help me hurry
Answer:
m<P = 48°
m<Q = 132°
Step-by-step explanation:
Given:
m<S = (14x + 6)°
m<R = (5x + 3)°
Required:
m<P, m<Q
Solution:
✔️First, find the value of x
m<S + m<R = 180° (consecutive angles are supplementary)
14x + 6 + 5x + 3 = 180 (substitution)
Collect like terms
19x + 9 = 180
19x = 180 - 9
19x = 171
x = 171/19
x = 9
✔️m<P = m<R (opposite angles are congruent)
m<P = (5x + 3)° (substitution)
Plug in the value of x
m<P = 5*9 + 3
m<P = 48°
✔️m<Q = m<S (opposite angels are congruent)
m<Q = (14x + 6)°
Plug in the value of x
m<Q = 14*9 + 6
m<Q = 132°
Susan knows that the coordinates of the center of a circle and a point on the circle are (-3, 2) and (10, -2), but she can't remember which coordinate pair is which. What could be an equation of the circle? Explain your answer.
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Answer:
(x +3)² +(y -2)² = 185
(x -10)² +(y +2)² = 185
Step-by-step explanation:
One possible equation comes from using one of the points as center. The other possible equation comes from using the other point as center.
The radius can be found from the distance formula:
r² = (x2-x1)² +(y2-y1)² = (10-(-3))² +(2-(-2))² = 169 +16 = 185
The circle formula is ...
(x -h)² +(y -k)² = r² . . . . . . for center (h, k) and radius r
The above equations and the ones shown in the attachment are possibilities.
find the circumference and the area of a circle with the diameter of 8 m.
Answer:
circumference = 8 x 3.14 = 25.12 m
area = 3.14(4²) = 50.24 m²
Step-by-step explanation:
Answer:
C= about 25.13
A= about 50.27
Step-by-step explanation:
The formula for circumference is 2* pi* r
The formula for area is pi *r^2
2(3x + 5) - 4(x - 1)
Simplified form
Answer:
5x+11
Step-by-step explanation:
Hope this helped!!!
Answer:
2x+14
Step-by-step explanation:
hope this helps!
have a great day!!
Connie bought 172 tulip bulbs. She wants to plant an equal number of bulbs in each of 4 flower beds. How many bulbs should Connie plant in each flower bed?
Answer:
43
Step-by-step explanation:
The answer should be 43 because if you divide 172 by 4 it gives you 43 so that gives you the answer 172 ÷ 4 = 43.
help please, also explain
Firstly, It says that the two triangles are similar .
The scale factor is 2 as 12 / 6 = 2
25 + 85 = 110
180 - 110 = 70.
70 degrees
Answer:
A: 70
Step-by-step explanation:
Step One: This problem is tricky because it makes it seem more difficult than it really is. Because these angles are similar through the SAS theorem, their angles are the same. Similar means they are proportional triangles, but for this problem, the most important thing to know is that the angles of both triangles are the same. This means we can use the angles from the first triangle exactly the same way for the second triangle.
Step Two: Now that we have that out of the way, we also need to know that all angles in a triangle add up to 180 degrees.
Step Three: Ok, so we have all the information we need, so now we can solve the problem. As I've said, the angles from the first triangle are the same for the angles in the second triangle. So, we would do 85+ 25= 110.
Step Four: Lastly, we would do 180 (since all angles add up to 180)-110 to figure out the missing angle: 180-110=70 degrees.
Pls help quick i beg please,Complete the explanation blank and blank 1 whole stirp could represent 1 blank and the 1/3 strip could represent blank. please help like please cause if you do it i make you The Brainliest
Answer:
Feet and yards; the 1 whole strip could represent 1 yd. and the [tex]\frac{1}{3}[/tex] strip could represent feet.