Answer:
Slope = 12.000/2.000 = 6.000
x-intercept = 1/6 = 0.16667
y-intercept = -1/1 = -1.00000
Step-by-step explanation:
Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on
her phone that will measure an angle of elevation. She determined she was 100 feet from the base of the
building. She held her phone (with the app) at eye level (about 5 feet off the ground) and measured the angle
of elevation to the top of the building to be 82°. What is the height of the building to the nearest foot?
Answer:
The height of the bullding is 717 ft
Step-by-step explanation:
Right Triangles
The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.
The tangent ratio for an internal angle A is:
[tex]\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.
The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:
[tex]\displaystyle \tan 82^\circ=\frac{h}{100}[/tex]
Solving for h:
[tex]h = 100\tan 82^\circ[/tex]
Computing:
h = 711.5 ft
We must add the height of Ms, M's eyes. The height of the building is
711.5 ft + 5 ft = 716.5 ft
The height of the building is 717 ft
A line intersects the point (3, -4) and
has a slope of 17. What is the
slope-intercept equation for this line?
y = [?]x+ [1]
Answer:
the slope which is the ? is 17.
Malik solved this system of equations.
2 x + 4 y = 24. 5 x + y = 15.
As the first step, he decided to solve for x in the first equation because it has a small, even number for the coefficient. Jill told him there was a more efficient way. What reason can Jill give for her statement?
The variable y in the second equation has a coefficient of one so there will be fewer steps to the solution.
The variable x in the second equation has a coefficient of 5 so it will be easy to divide 15 by 5.
The variable y in the first equation is divisible by 2 so it will be the most efficient way to start.
The variable y in the first equation has a larger even number. When dividing by 4, the solution will be a smaller number.
The reason Jill give for her statement is that the variable y in the second equation has a coefficient of one so there will be fewer steps to the solution. Hence, option A is the correct statement.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
System of equations
Given the simultaneous equation;
2x+4y=24
5x+y=15
The best way to solve this kind of system of equation is by the substitution method.
Then To do that in an easy way, we can locate which of the variables in the equations has a coefficient of 1.
From the second equation, we can see that the variable "y' has a coefficient of 1.
Therefore, the reason that Jill can give for her statement is that the variable y in the second equation has a coefficient of one so there will be fewer steps to the solution.
Hence, option A is the correct statement.
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ5
In the given parallelogram, BELT,find the value of p,q,x,y
Answer:
5. x = 10, y = 6 6. p = 60°, q = 120°, x = 60° , y = 30°Step-by-step explanation:
5.
2x = 20 ⇒ x = 10
5y + 5 = 35 ⇒ 5y = 30 ⇒ y = 6
6.
m∠T = x = 180° - 90° - 30° = 60°
m∠E=m∠T ⇒ y = 180° - 90° - 60° = 30°
m∠B = m∠L = q = 180° - m∠E = 180° - 60° = 120°
m∠B = 30° + p + y ⇒ p = 120° - 30° - 30° = 60°
Write the simplified expression to represent the perimeter of the square.
Answer:
-2/4 = w
Step-by-step explanation:
4w + 2 when you isolate the variable, you subtract the 2, then you have to divide by 4 so that would give you -2/4 = w.
s=ut+ 1/2 at²
u=10 a= -2 t= 1/2
work out the value of s
Which angle is complementary to <ADB?
A) Angle BDA
B) Angle ADC
C) Angle BDC
D) Angle CDA
Answer:
Angle CDA IS CORRECT
simplify 36n^7p^5 over 9n^4p
Solve the system using substitution. -2x+5y=19
3x-4=y
Answer:
answer is x=3 and y=5.... so it is (3,5)
Step-by-step explanation:
you want to combine them so y=3x-4 so subsitute y
-2x+5(3x-4)=19
-2x+15x-20=19
+20 +20
13x=39
--- ---
13 13
x=3
now subsitute 3 into x into any problem...
3(3)-4=y
9-4=y
and 9-4 is 5 so it is...
(3,5)
pls give me brainliest
PLS HELP WILL GIVE 75 POINTS!!!!!!!
Answer: what r u supposed to figure out
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
Given is the piecewise function.
It has three different pieces.
The first piecef(x) = 2, with x ≤ -2Plot the point (-2,2) and draw a horizontal line to the left from this point
The second piecef(x) = 1/2x + 3, at the interval -2<x≤1Plot two border points at x = -2 and x = 1:
f(-2) = 1/2*(-2) + 3 = 2, point (-2, 2)and
f(1) = 1/2*1 + 3 = 3.5, point (1, 3.5)Connect these two points with a line segment
The third piecef(x) = -7/8x + 35/8, at x > 1Plot two points at x = 1 and x = 5 (5 is an example, it could be anything > 1)
f(1) = -7/8*1 + 35/8 = 28/8 = 3.5and
f(5) = -7/8*5 + 35/8 = 0Connect the two points (1, 3.5) and (5, 0) and extend the line to the right
Remember the point (-2,2) belongs to the first piece and the point (1, 3.5) belongs to the second piece.
The graph is attached
If y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8?
1/9
2/3
54
96
Answer:
2/3
Step-by-step explanation:
you can set it up as x/y because it varies directly
so when y=6 x=72
72/6 = 12
so x will always be 12 times greater than y
x=12y
so if x=8
8=12y
y=8/12
y=2/3
Select all of the expressions that represent an `8\%` increase compared to `x`.
Answer:
1.08X
X+0.08X
(1+.08)X
Step-by-step explanation:
Fill in the blank Eyes blue like ____ ______
Answer:
the Atlantic
Answer:
the Atlantic....
Step-by-step explanation:
thanks for the points and have a nice day ._.
Which is equivalent to -1/2(3-2/5)
A. -3/2 - 1/5
B. -3/2 + 1/5
C. -3 1/2 - 1/5
D. -3 1/2 + 1/5
9514 1404 393
Answer:
B. -3/2 +1/5
Step-by-step explanation:
The distributive property lets you multiply each of the inside terms by the outside factor.
(-1/2)(3 -2/5) = (-1/2)(3) +(-1/2)(-2/5)
= -3/2 +1/5
In Sanford, the high temperature was 54°F on Saturday and 49°F on Sunday. What is the percent of change in the high temperature from Saturday to Sunday? (Round to the hundreth.)
Which equation represents 4x – 3y = 15 when solved for y
Answer:
y=4/3x-5
Step-by-step explanation:
4x-3y=15
-4x -4x
______________
-3y=-4x+15
---- --- ---- (divide all by -3)
-3 -3 -3
y=4/3x-5
Ali, Ben, and Cliff plant seedlings in their neighborhood park. Ali plants 40% of the total number of seedlings, Ben plants 45% of the total number of seedlings, and Cliff plants the rest of the seedlings. If Cliff plants 87 seedlings, how many seedlings do the three boys plant altogether?
Answer:
580 seedlings altogether.
Step-by-step explanation:
Given that,
Ali plants 40% of the total number of seedlings, Ben plants 45% of the total number of seedlings, and Cliff plants the rest of the seedlings. Cliff plants 87 seedlings.
The percentage of the seedling planted by Cliff = 100% - 45% - 40% = 15%
Let x = the total number of seedlings
[tex]15\%\ of\ x=87\\\\x=\dfrac{87\times 100}{15}\\\\x=580[/tex]
Hence, three boys plant 580 seedlings altogether.
Solve the inequality
[tex] 25 + 8x \leqslant 475[/tex]
Answer: x<225/4
Step-by-step explanation: hope this help
How do I add ³3 to anything
Answer:
the other three is the baby three
Step-by-step explanation:
you see what happened is that mother three got a divorce with father 3 cause he was caught cheating with 5
whats 1/2+1/6. i know its a not smart question, but i forgot. seriously help me
Answer:
2/3
Step-by-step explanation:
Answer:
4/6 or 2/3
Step-by-step explanation:
1/2 is equivalent to 3/6
3/6 + 1/6 is 4/6
4/6 simplified is 2/3
Find the length of the third side of the right triangle. Give an exact answer and an approximation to three decimal places if needed. PLEASE HELP!!!!!!
The height of a painting is √30 ft. Between which two consecutive whole numbers is √30? 7 and 8 6 and 7 4 and 5 5 and 6
Answer
5 and 6
Step-by-step explanation:
First | Find the square root of √30 (Put it in the calculator)
Answer | 5.47722557505...
Second | Round the number to the tenths
Anwer | 5.5 (ect the number in the hundreths place is greater than 5 so you bump up the 4 by 1 so 5.4 to 5.5)
Third | Get a line and see where 5.5 belongs it cant be 4 and 5 since the answer will need to be 4 or 5.0
Concusion | Here are the steps to find the answer hope this helped!
Help please....I have no idea what I’m doing
Answer:
C) 8
Step-by-step explanation:
Use the formula
Slope = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]y_1[/tex] - any y value
[tex]x_1[/tex] - x value corresponding to y_1
similarly, you can pick y_2 and x_2 from the table.
Pick any two rows
Let's pick row 3 and 4
Slope = [tex]\frac{33-23}{5-3}[/tex]
=> 10/2
Slope = 5
Now formula
y = slope * x + intercept
y = 5x + intercept
intercept = y - 5x
Now take any row from the table and substitute above to calculate intercept
Taking row 3
intercept = 23 - 5 * 3
intercept = 8
can someone help me please
heya! could someone tell me what the rate change of the table here is?
What is the volume of the following rectangle prism? Plz help
Answer:
7 2/3 or 7.666
Step-by-step explanation:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
since we only have two points we have to do
4/3 x 23/4 = 7 2/3 or 7.666
so the answer is 7 2/3 or 7.666
Evaluate the following expression
2+(3-2x2)x1
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Given expression 2+(3-2x2)x1,
2+(3-2x2)x1
2 - 1 x 1 ^ Multiplication
2 - 1 ^ Multiplication
1 ^ Subtraction
Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.
Complete the following. Show all work for calculations.
List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of
1
10
?
Please list the item
Answer:
where u getting it from?
Step-by-step explanation:
Answer:
needs a little more so i can answer?
Step-by-step explanation:
The distribution of individual student scores on for a department wide biology test at a large university are skewed left with a mean of 80.2 and standard deviation of 4.2 points. A random sample of 46 pre-med majors in this biology course is taken. Which statement is correct about the resulting sampling distribution?
Answer:
i am calculating it for u
Step-by-step explanation:
PLEASE HELP ME I NEED TO KNOW
Answer:
x=23,y=15
Step-by-step explanation:
take away 8 from 38, divide it by 2, you get 15. add 8 to one of the set of two 15s. you get 23 and 15