Answer:
The distance between the buildings is:
D = 413.3 ft
Step-by-step explanation:
Ok, here we have two triangle rectangles, such that these triangle rectangles share a common vertex which is Dale.
One of the triangles, let's call it triangle A, has the catheti:
Distance between Dale and Building A = d1
Height of Building A = 464 ft
The other triangle (triangle B) has the catheti:
Distance between Dale and Building B = d2
Height of building B = 321ft
We want to find the distance between the buildings, which is equal to d1 + d2.
Then we want to find d1 and d2.
For triangle A:
We know that the angle at the vertex where Dale is standing, is 75°
Then the adjacent cathetus is d1, and the opposite cathetus is the height of building A.
Remember that:
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
Then:
Tan(75°) = (464 ft)/(d1)
d1 = (464 ft)/(Tan(75°)) = 124.3 ft
Now for triangle B, the angle at the vertex where Dale is standing is 48°.
from this vertex, we have d2 as the adjacent cathetus and the height of build B as the opposite cathetus.
Then:
Tan(48°) = 321ft/d2
d2 = (321ft)/(Tan(48°)) = 289ft
Then the distance between the buildings is:
D = d1 + d2 = 124.3 ft + 289ft = 413.3 ft
What are the coordinates(real answers only please I can’t click on links)
Answer:
D (-9,3)
F (-5,-5)
Step-by-step explanation:
Elsa received a $90 gift card for a coffee store. She used it in buying some coffee that cost $7.54 per pound. After buying the coffee, she had $44.76 left on her card. How many pounds of coffee did she buy?
Answer:
6 pounds of coffee
Step-by-step explanation:
You take $90-$44.76=$45.24. Then you divide $45.24 by $7.54 then you get 6 pounds of coffee.
Please help im running out of time:(
One train is traveling 120 m with a velocity of 52 km/h and a
second train is traveling in the opposite direction with a
velocity of 20 km/h. How long will it take for them to
completely pass one another?
Answer: It took the train 11 s to completely pass the other.
11 seconds it takes for them to completely pass one another if one train is travelling 120 m with a velocity of 52 km/h.
What is distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
We have:
One train is travelling 120 m with a velocity of 52 km/h.
A second train is travelling in the opposite direction with a velocity of 20 km/h.
Here, the length of the second train is not given:
We are assuming the length is 100 m
Relative velocity = 52+20 = 72 km/h = 20 meter/seconds
Total distance: = 120 + 100 = 220 m
The time = 220/20 = 11 seconds
Thus, 11 seconds it takes for them to completely pass one another if one train is travelling 120 m with a velocity of 52 km/h.
Learn more about the distance here:
brainly.com/question/26711747
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Multiply. 42.9 × 3.45
Answer:
42.9 x 3.45 = 148.005 exactly or 148 rounded
Answer:
Hi! The answer to your question is 148.005
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
(Will dive brainly!! please!!)
The Steven's family owns a house worth $280,000, of which they still owe $113,545 on the mortgage. They also own two cars, one worth $5,200 and the other worth $15,600. They still owe $9,200 on one of the car loans. They have $2,300 in credit card debt and owe $18,200 for their daughter's wedding. What is their net worth?
A) $157,555
B) $162,155
C) $300,800
D) $143,245
9514 1404 393
Answer:
A) $157,555
Step-by-step explanation:
The sum of assets is ...
house + 2 cars = $280,000 +5,200 +15,600 = $300,800
The sum of liabilities is ...
mortgage +car loan +credit card +wedding
= $113,545 +9,200 +2,300 +18,200 = $143,245
The family's net worth is the difference between assets and liabilities:
$300,800 -143,245 = $157,555
WILL GIVE BRAINLEIST TO WHOEVER SOLVES THIS THANK YOU.
Answer:
5749234
Step-by-step explanation:
Answer:A squre = c square = B square
Step-by-step explanation:
Give me Brainleist plz
(33x3+6x-9)+(-33x3+9x2-10)
Answer:
9x² + 6x -19
Step-by-step explanation:
= 33x³ + 6x - 9 - 33x³ + 9x² -10
= 33x³ - 33x³ + 9x² + 6x -10 -9
= 9x² + 6x -19
Brainliest for correct answer.
Answer:
a
Step-by-step explanation:
Rotate rectangle CDEF with C{-4.0). D1-1,-1), E(-3,-7), and F(-6,-6) 90° counterclockwise about the origin. What are the coordinates of ΕΡ JU
Express log6 (15) in terms of common logarithms *no file answers*
A round balloon has a diameter of 7 inches
Which of the following is closest to the number of
cubic inches of air can it hold?
A) 181 in
B) 189 in
C) 196 in
D) 208 in
E) 210 in
None of the above
+3
Answer:
The right answer is approximately 210.031 cubic inches. (Answer: E)
Step-by-step explanation:
First, we need to convert the diameter ([tex]D[/tex]), in inches, of the round balloon to an entirely decimal mode:
[tex]D = 7\,in + \frac{3}{8}\,in[/tex]
[tex]D = \frac{56 + 3}{8}\,in[/tex]
[tex]D = \frac{59}{8}\,in[/tex]
[tex]D \approx 7.375\,in[/tex]
The volume of the balloon is modelled after the volume function of a sphere ([tex]V[/tex]), in cubic inches:
[tex]V = \frac{\pi}{6}\cdot D^{3}[/tex] (1)
If we know that [tex]D \approx 7.375\,in[/tex], then the volume of the round balloon is:
[tex]V = \frac{\pi}{6}\cdot D^{3}[/tex]
[tex]V = \frac{\pi}{6} \cdot (7.375\,in)^{3}[/tex]
[tex]V \approx 210.031\,in^{3}[/tex]
Hence, the right answer is approximately 210.031 cubic inches.
ANSWER THE QUESTION FOR BRAINLIEST
Write the equation of a line with a slope of 4 that passes through the point (-3,5) in slope intercept form
What is the equation
Answer:
[tex]y = 4x+17[/tex]
Step-by-step explanation:
1) First, write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].
[tex]m[/tex] represents the x and y values of one point the line intersects, so substitute 4 in its place. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, so substitute -3 for [tex]x_1[/tex] and 5 for [tex]y_1[/tex]. This gives the following equation in point-slope form:
[tex]y-5 = 4(x+3)[/tex]
2) Now, put it in [tex]y =mx + b[/tex] format, or slope-intercept form by isolating the y:
[tex]y-5 = 4(x+3)\\y-5 = 4x + 12\\y = 4x+17[/tex]
The equation of a line with a slope of 4 that passes through the point (-3,5) in slope intercept form is,y=4x+17.
What is the slope?A numerical assessment of a line's angle relative to the ground is known as the slope.
The inclination of any line, ray, or line segment is the fraction of the perpendicular to the horizontal distance between any two positions on it.
The line's equation in point-slope form is;
y = mx+c
We may then transform it to a slope-intercept form. Substitute values in the point-slope formula as;
y-y₁=m(x-x₁)
y-5=4(x-(-3)
y-5=4(x+3)
y--5=4x+12
y-4x+17
Hence,the equation of a line with a slope of 4 that passes through the point (-3,5) in slope intercept form is,y=4x+17.
To learn more about the slope refer to the link;
https://brainly.com/question/3605446
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Surface area formula
of a parallelogram prism
Find the perimeter of this semi-circle with diameter, d = 52cm.
Answer:
Perimeter = 133.681 cm
or 52.63 inches.
Step-by-step explanation:
"So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius."
let's use, πr + 2r
Diameter: 52
Radius: 26 (RAdius is half of the diameter)
πr + 2r (plug in)
pi x 26 + 2(26)
pi x 26 + 52
= 133.681 cm
or
= 52.63
The area of the triangle below is 25/72 square meters. What is the length of the base?
Answer:5/6
Step-by-step explanation:
Will choose branliest
option three I’m so sorry if I’m wrong :heart:
3 m
150°
3. What is the area of the sector outlined by the dark line?
a. 150 m
b. 28.3 m
c. 11.8 m²
d. 3 m
Answer:
Area of sector = 11.8 m² (Approx.)
Step-by-step explanation:
Given:
Radius of a circle = 3 m
Given angle = 150°
Find:
Area of sector
Computation:
Area of sector = [θ/360][π][r]²
Area of sector = [150/360][22/7][3]²
Area of sector = [150/360][22/7][9]
Area of sector = [150/360][3.1428][9]
Area of sector = [0.4167][3.1428][9]
Area of sector = [1.345][9]
Area of sector = 11.789
Area of sector = 11.8 m² (Approx.)
What is the probability of choosing a clubs or a numbered card from a deck of cards? Type your answer as a fraction.
Answer:
13/52
Step-by-step explanation:
f(x) = 4.22 + 5x – 3
g(x) = 4x3 – 3x2 + 5
Find (f - g)(x)
Answer:
−4x^3+3x^2+5x−3.78
Step-by-step explanation:
:D
Math
A cookie cutter shark is 0.4 meter long, and a thresher
shark is 6 meters long. How many times as long as the
cookie cutter shark is the thresher shark?
Calculate the standard deviation of X for the probability distribution. (Round your answer to two decimal places.)
x 0 1 2 3
P(X = x) 0.1 0.5 0.1 0.3
Answer:
The standard deviation of the probability distribution is 1.02.
Step-by-step explanation:
Standard deviation of the distribution:
Square root of the sum of the difference squared between each value and the mean multiplied by its probability.
Mean:
Each value multiplied by its probability. So
[tex]E(X) = 0*0.1 +1*0.5 + 2*0.1 + 3*0.3 = 1.6[/tex]
Standard deviation:
[tex]\sqrt{V(X)} = \sqrt{0.1*(0-1.6)^2 + 0.5*(1-1.6)^2 + 0.1*(2-1.6)^2 + 0.3*(3-1.6)^2} = 1.02[/tex]
The standard deviation of the probability distribution is 1.02.
Trigonometry
HELP ASAP !
Answer:
8.9
Step-by-step explanation:
X= Tan( 52 ) · 7
X= 8.959591425
Round to the nearest 10th or 100th
Choices ( below )
X= 8.9596
X= 8.9510
X= 8.96
X= 8.10
X= 9
I Hope this helped
Have a good day
Please answer this quick!!
A set of data is normally distributed with a mean of 455 and a standard deviation of 25. What percent of the data is in the interval 405–455?
a.
47.5%
c.
68.3%
b.
49.85%
d.
34.15%
Answer:
a. 47.5%
Step-by-step explanation:
1. Find the z-score for 405: 405-455/25 = -2
2. Find the z-score for 455: 455-455/25 = 0
3. Using technology or a chart, find the percentage that corresponds with the z-scores: -2 = 0.0228 or 2.28%, AND 0 = 0.5000 or 50%
4. Find the difference between the percentages by subtracting them: 50% - 2.28% = 47.72%
5. Most of the time, the answers aren't exact, so since 47.72% is closest to 47.5%, I would say that's the answer.
What is the position of the term 301 in the sequence defined by 3n + 1
Answer:
n=100
Step-by-step explanation:
3n+1=301
3n=300
n=100
Julie made some hot chocolate by mixing 1 1/4 cups of milk with 1/2 tablespoons of cocoa. How many cups of milk Julie uses for 1 tablespoon of cocoa?
Answer:
2 2/4
Step-by-step explanation:
Since 1/2 of tablespoon of coca can make 1 1/4 cup of milk...
1 1/4 + 1 1/4 = 2 2/4
Raffle tickets cost $36 for 3 tickets.
a. What is the price of 1 ticket?
The price of 1 raffle ticket is $12
because
[tex]36 \div 3 = 12[/tex]
-4x+5>-5 solve the equation is it greater than or less than
Answer:
x>5/2
Step-by-step explanation:
-4x+5>-5
-4x>-10
4x>10
x>10/4
x>5/2
o study student engagement, a university surveys 1,390 college freshman and determines that 470 of them participate in a recreational sport. The university would like to estimate the proportion of all college freshman that participate in a recreational sport at a 95% confidence interval. What is the upper bound of the confidence interval built by the university
Answer:
46
Step-by-step explanation:
