Answer:
512 ft.
Step-by-step explanation:
From the parking lot at the Red Hill Shopping Center, the angle of sight (elevation) to the top of the hill is about 25. From the base of the hill you can also sight the top but at an angle of 55. The horizontal distance between sightings is 740 feet. How high is Red Hill? Show your subproblems.
Solution:
Let x be the distance from the base of the hill to the middle of the hill perpendicular to the height, let h be the height of the hill. Therefore:
tan 25 = h/(x + 740)
h = (x + 740)tan 25 (1)
tan 55 = h / x
h = x tan 55 (2)
Hence:
(x + 740)tan 25 = xtan 55
0.4663(x + 740) = 1.428x
0.4663x + 345.07 = 1.428x
0.9617x = 345.07
x = 359 ft.
h = xtan55 = 359 tan(55) = 512 ft.
Pls pray for me of this is the last one-
Help pls
Help pls
Help pls
Answer i cant read it..
Step-by-step explanation:
The average gas mileage (mpg) for vehicles produced by a particular automotive company is 26 mpg, with a standard deviation of 2 mpg. What percentage of the vehicles produced by the automotive company have a gas mileage greater than 24?
Note: Assume that a Normal model is appropriate for the distribution of the gas mileages for the vehicles.
About 68% of the vehicles have a gas mileage greater than 24 mpg.
About 32% of the vehicles have a gas mileage greater than 24 mpg.
About 84% of the vehicles have a gas mileage greater than 24 mpg.
About 16% of the vehicles have a gas mileage greater than 24 mpg.
Answer:
Using the 68-95-99.7 rule, about []% of autos should get more than 33 mpg
1.
Solve 17 - X = 1 + 3X
Answer:
X = 4
Step-by-step explanation:
17 -X = 1 +3X
NOTE: PUT X IN ONE SIDE AND THE NUMBER IN OTHER
so 17 -X = 1 +3X so it will be 3x + x = 4x
then 17 - 1 = 16
4 divide by 16 = 4
so X = 4
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many DUCKS are there?
Answer:
let no of pigs=x
ducks=y
x+y=10.....(1)
4x+2y=36
2x+y=18....(2)
by(1)..y=10-x
putting vvalue
2x+10-x=18
x=8
ducks=8
1.
Solve 17 - x = 1 + 3x
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
1) Add x to both sides.
[tex]17 = 1 + 3x + x[/tex]
2) Simplify 1 + 3x + x to 1 + 4x.
[tex]17 = 1 + 4x[/tex]
3) Subtract 1 from both sides.
[tex]17 - 1 = 4x[/tex]
4) Simplify 17 - 1 to 16.
[tex]16 = 4x[/tex]
5) Divide both sides by 4.
[tex] \frac{16}{4} = x[/tex]
6) Simplify 16/4 to 4.
[tex]4 = x[/tex]
7) Switch sides.
[tex]x = 4[/tex]
Therefor, the answer is x = 4.
Suppose a vertebrate has a disease that affects its skeleton.
Which sentence best describes a difficulty the vertebrate may have?
A. It would have difficulty interpreting information.
B. It would have difficulty circulating blood.
C. It would have difficulty moving.
D. It would have difficulty breathing.
Answer:
If a vertebrate has a disease that affects it's skeleton, it'll would have difficulty circulating blood because the white blood cells would prob stop when there's a thing like Leukemia and so would the red blood cells :3
btw I love ur connie pfp- :3
Step-by-step explanation:
:3
Kim's baby sister weighed 9 pounds when she was born. How many ounces are in 9 pounds?
Solve the equation for a.
3a+13.61=−9.43
What is the value of a that correctly solves the equation?
Enter your answer as a number with two decimal places, like this: 4.25
Do not round your answer.
Answer:
a=-7.68
Step-by-step explanation:
3a+13.61=-9.43
-13.61
_____________
-23.04
3a=-23.04
-23.04/3= -7.68
solve for x. please help asap we have a test on these tomorrow and i have no idea what’s going on.
Answer:
x = 20°
Step-by-step explanation:
You know the horizontal line is 180°. If the left side of the horizontal line is 90° (right angle), then the right side of the horizontal line should be 90° too. (180° - 90° = 90°)
Thus, 90° = 43° + 2x + 7°
2x = 90° - 43° - 7°
= 40°
x = 40° ÷ 2
x = 20°
Answer:
X = 2
Step-by-step explanation:
As the lines are perpendicular...
90 = 43 + 2x + 7
Solve for x by making x the subject.
90 - 43 - 7 = 2x
40 = 2x
40/2 = x
20 = x
therefore, x = 2
A string requires 186n of force to break a 1.5 kg mass is tied to the string
a number is the square root of 16 and also the square root of 2. what is the number?
Answer:
there is nothing like that
Step-by-step explanation:
there is no squre root of2
select the correct answer. one of the factors of the polynomial x^3+5x^2+6x is (x^2+3x). what is the other factor?
Answer:
x(x+2)(x+3)
Step-by-step explanation:
Answer:
x+2
Step-by-step explanation:
Jane has 3 ¾ cups of yogurt that she wants to split into smaller containers. Each container can hold ¾ cup of yogurt.
Answer:
5 containers
Step-by-step explanation:
Converting to a decimal can make questions like this easier to solve.
3 3/4 = 3.75
3/4= .75
3.75 cups divided by .75 cup containers results in 5 containers needed.
Does 3 (x-1) = 2x + 9 have one solution, no solution, or infinite solutions?
Answer:
one solution
x = 12
Step-by-step explanation:
3 (x-1) = 2x + 9
3x - 3 = 2x + 9
subtract 2x from each side of the equation:
x - 3 = 9
add 3 to each side:
x = 12
Step-by-step explanation:
3x-3=2x+9
3x-2x=9+3
x=12
only one solution
Complete the equation to show how to find the sum of 7/10 and 20/100. Write your answers in the boxes. HALP MEH PLS
Answer:
9/10
Step-by-step explanation:
To solve this you need a common denominator, here we'll make it 10, leaving 7/10 and simplifying 20/100 by dividing both the 20 and 100 by 10 to get our common denominator of 10. Now we have 7/10 + 2/10 which is 9/10.
Richard sells cupcakes at a school bake sale for $1.25 each. The amount of money, m, that he makes and the number of cupcakes he sells, c, are related. Which variable is the Independent Variable and which variable is the Dependent Variable? Independent Variable: Dependent Variable:
Answer:
Independent: Number of cups he sells
Dependent: Amount of money he makes
Step-by-step explanation:
In the accompanying diagram of rectangle ABCD, diagonal AC is drawn, DE = 8, DE 1 AC, and m2 DAC = 55. Find the area of rectangle ABCD to the nearest integer.
Answer:
sin (55) = DE / AD
AD = DE / sin (55)
AD = 8 / sin (55)
And
tan (55) = DC / AD
tan (55) = DC / [8 / sin (55) ]
DC = 8 tan (55) / sin (55)
AD * DC =
[8 /sin (55) ] [ 8 tan (55) / sin (55) ] = 136 units^2
Step-by-step explanation:
f
5.) Solve the proportion. *
2
m - 6
7.
m - 8
What’s is 3+4+8+9+2+5+6+7=
Answer:
44
Step-by-step explanation:
I just used mental math soooo.......
have a great day luvs <3
Answer:
44
Step-by-step explanation:
3+4+8+9+2+5+6+7=
7+8+9+2+5+6+7=
15+9+2+5+6+7=
24+2+5+6+7=
26+5+6+7=
31+6+7=
37+7= 44
44 = 44
Martina owns 32 shares of a certain stock. Yesterday the value of each share went up by 8
dollars. What was the total change in value of her shares?
Answer:
wef
Step-by-step explanation:
wef
A car uses 25 litres of fuel when travelling 355 kilometers. How far can it travel with 42 liters of fuel
Answer:
[tex]\boxed {\boxed {\sf 596.4 \ kilometers}}[/tex]
Step-by-step explanation:
Let's create a proportion using this setup.
[tex]\frac {liters}{kilometers} = \frac{liters}{kilometers}[/tex]
We know that 25 liters are used for 355 kilometers.
[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{liters}{kilometers}[/tex]
We don't know how many kilometers are used with 42 liters. Therefore we say x kilometers are used for 42 liters.
[tex]\frac {25 \ liters}{355 \ kilometers} = \frac{42 \ liters}{x \ kilometers}[/tex]
[tex]\frac {25 }{355 } = \frac{42 }{x}[/tex]
Cross multiply. Multiply the first numerator by the second denominator, then the first denominator by the second numerator.
[tex]25*x=42*355[/tex]
[tex]25x=14910[/tex]
Since we are solving for x, we need to isolate the variable. x is being multiplied by 25. The inverse of multiplication is division, so divide both sides by 25.
[tex]\frac{25x}{25}=\frac {14910}{25}[/tex]
[tex]x=596.4[/tex]
The car can travel 596.4 kilometers with 42 liters of fuel.
Find the area of the kite
Given:
A figure of a kite.
To find:
The area of the given kite.
Solution:
The area of a kite is the half of the product of its diagonals.
[tex]A=\dfrac{d_1d_2}{2}[/tex] ...(i)
Where, [tex]d_1,d_2[/tex] are two diagonals of the kite.
From the given figure it is clear that the length of one diagonal is the sum of 12 and 8.
[tex]d_1=12+8[/tex]
[tex]d_1=20[/tex]
Let the second diagonal be 2x. The first diagonals bisect the second diagonal. So, the length of one parts of the diagonal is x.
Diagonals of a kite are perpendicular to each other. Using Pythagoras theorem, we get
[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]
[tex]13^2=x^2+12^2[/tex]
[tex]169-144=x^2[/tex]
[tex]25=x^2[/tex]
[tex]5=x[/tex]
The length of second diagonal is:
[tex]d_2=2x[/tex]
[tex]d_2=2(5)[/tex]
[tex]d_2=10[/tex]
Substituting [tex]d_1=20,d_2=10[/tex] in (i), we get
[tex]A=\dfrac{20\times 10}{2}[/tex]
[tex]A=\dfrac{200}{2}[/tex]
[tex]A=100[/tex]
Therefore, the area of the kite is 100 square units.
A floor tile is shaped like a regular hexagon. The side lengths are 4 cm and the apothem 2√3 cm.
What is the area of the hexagonal floor tile?
Enter your answer as a decimal to the nearest hundredth.
area = cm2
Answer:
Area of regular hexagon[tex] \approx 41.57 \: {cm}^{2} [/tex]
Step-by-step explanation:
Area of regular hexagon
[tex] = 6 \times area \: of \: one \: triangle \\ \\ = 6 \times \frac{1}{2} \times 4 \times 2 \sqrt{3} \\ \\ = 24 \sqrt{3} \\ \\ = 41.5692194 \: {cm}^{2} \\ \\ \approx 41.57 \: {cm}^{2} [/tex]
Answer:
41.57
Step-by-step explanation:
took the test
how do you find the circumference of a circle
Answer:
circumference = pi (3.14 or 22/7, whatever your teacher wants or whatever the problem asks) x the diameter
Step-by-step explanation:
Answer:
To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14).
Step-by-step explanation:
I hope the images help!!
Explain what it means for x and y to vary directly
Answer:
(Some textbooks describe direct variation by saying " y varies directly as x ", " y varies proportionally as x ", or " y is directly proportional to x . ") This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.
Explain how you can use proportional reasoning to determine the whole if you
know that 40 is 60% of the whole.
are these numbers linear or non-linear
x- 0, 1, 2, and 3
y- 1, 3, 6, and 10
Please help me figure this out
Can someone explain what the GFC is to me pls. Step by step explanation.
Answer:
When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.
Step-by-step explanation:
When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.
Answer:
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
Step-by-step explanation:
Example: 6,8,20
6-1,2,3,6
8-1,2,4,8
20-1,2,4,5,20
GCF is 2