Answer:
165.8 ft (nearest tenth)
Step-by-step explanation:
We can use the tan trig ratio to calculate the height of the tower.
[tex]\sf tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] = the angleO = the side opposite the angleA = the side adjacent the angleFrom inspection of the diagram:
[tex]\theta[/tex] = 37°O = height of tower (let's call this h)A = 220 ftSubstituting these values into the trig tan ratio:
[tex]\sf \implies tan(37)=\dfrac{h}{220}[/tex]
Multiply both sides by 220:
[tex]\sf \implies 220tan(37)=h[/tex]
[tex]\sf \implies h=220tan(37)[/tex]
[tex]\sf \implies h=165.781891[/tex]
Therefore, the height of the tower is 165.8 ft (nearest tenth)
The circumference of a circle is 44π cm. find the diameter, the radius, and the length of an arc of 110.
Answer:
Step-by-step explanation:
1. Which quadratic equation has 5 and - 4 as its solutions?
Answer:
x²-x-20
Step-by-step explanation:
Using Vieta's formula
x²-(sum of roots)x+(product of roots)=0
x²-(5+-4)x+(5×-4)=0
x²-x-20=0
A giant tortoise can walk about
1/10 meter per second on land. A cooter turtle can walk about
1/2 meter per second on land.
How long would it take a giant tortoise to travel 2 meters?
2 ÷ 1/10 = 2 ? 10 =
Answer:
its already on brainy hope this helps
Step-by-step explanation:
The rate of giant tortoise is 1/10 meters per each second.
The rate of cooter turtle is 1/2 meters per each second.
How long would it take a giant tortoise to travel 5 meters?
1 second : 1/10 m = X : 5 m
1/10x = 5
x = 50 seconds
How much longer would it take a giant tortoise than a cooter turtle to travel 10 meters on land?
1 second : 1/2 m = X : 10 m
1/2x = 10
x = 20 seconds
So the giant turtle can travel 5 meters in 50 seconds.
So the cooter turtle can travel 10 meters in 20 seconds.
PLSSS help if you TURLY know THISS
Answer:
that would be C.) 1 and 1/8
Step-by-step explanation:
becuase the denominator never changes and you would make it a mixed number versus leaving it as 9/8
Answer: c
Step-by-step explanation:
Add the numerators
7+2=9
8 out of the 9 will make a whole number
9-8=1
The last 1 in the numerators will make 1/8
1 and 1/8
show that the relation R in R define as R = {(a, b): a<_ b}, is reflexi when transistor but not symmetry
Answer:
R is reflexive and transitive but not symmetric.
Step-by-step explanation:
R = {(a, b); a ≤ b}
Clearly (a, a) ∈ R as a = a.
R is reflexive.
Now,
(2, 4) ∈ R (as 2 < 4)
But, (4, 2) ∉ R as 4 is greater than 2.
R is not symmetric.
Now, let (a, b), (b, c) ∈ R.
Then,
a ≤ b and b ≤ c
→ a ≤ c
→ (a, c) ∈ R
R is transitive.
Thus, R is reflexive and transitive but not symmetric.
Point x (-6,3) is translated 2 units left and 5 units down. Write the coordinates of X'
Answer:
X' (-8,-2)
Step-by-step explanation:
You move -6 two spaces to the left making -8 and 3-5 = -2
HELLLLLLLLLLLLLLLLP 8TH GRADE MATH IM TIMED HELLLLLLLLLLLLLLLLLLLLLLP
Answer:
the answer for question 15 is going to be D. since wen u draw the line on a graph there is only one point that connects to the points we are given in the question so it's (-8,4)
What is the surface area of the cylinder with height 4 in and radius 5 in? Round your answer to the nearest thousandth.
Answer:
282.74
Step-by-step explanation:
Answer:
[tex]\fbox{Surface area of cylinder = 282.6 sq. in.}[/tex]
Step-by-step explanation:
Given:
Shape of object = cylinder
height of cylinder= 4 inches
radius of cylinder= 5 inches
To find:
surface area of cylinder = ?
Solution:
we know that,
[tex]surface \: area \: of \: cylinder =2\pi{rh} + 2\pi {r}^{2}\\Substituting \:the \:constant\: (π =3.14)\\and \:given\: data,\\2\pi{rh} + 2\pi {r}^{2} \: =\\ 2×3.14×5×4+2×3.14× {5}^{2} \\2\pi{rh} + 2\pi {r}^{2} = 125.6 + 157 \\ 2\pi{rh} + 2\pi {r}^{2} = 282.6\\ \fbox{Surface area of cylinder = 282.6 sq. in.}[/tex][/tex]
THANKS FOR JOINING BRAINLY COMMUNITY!
Graph the system.
y=x2+4x+1
y−x=1
As you graph your parabola, plot the vertex as your first point, followed by a point on the parabola.
Answer:
y = 6 x + 1
y = 1 x + 1
'^' :)))))
Solve the following linear inequalities given in the first column and choose the appropriate results
Solution 1
7(g - 19) ≥ -14
7g - 133 ≥ -14
7g ≥ -14 + 133
7g ≥ 119
g ≥ 17
Solution 2
3(7g+17) > -19 + 14g
21g + 51 > -19 + 14g
21g - 14g > -19 -51
7g > -70
g > -10
Solution 3
6(-6g + 6) > -2(19g - 17)
-36g +36 > -38g + 34
-36g + 38g > 34 - 36
2g > -2
g > -1
In these number grids, two numbers are added to give the number below.
Example:
13
12
13 + 12 = 25
25
Write numbers in the number grid to make it correct.
4
9
35
Answer:
11, 15, 20
Step-by-step explanation:
[tex]there \: would \: be \: 11 \: between \: 4 \: and \: 9 \\ 4 + 11 = 15 \\ 11 + 9 = 20 \\ 20 + 15 = 35 \\ \: please \: rate \: brainliest[/tex]
The numbers in the grid are:
4 11 9
15 20
35
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
4 + x = a _____(1)
9 + x = b ______(2)
And a + b = 35
From (1) and (2),
4 + x = a
9 + x = b
13 + 2x = a + b ( Adding )
Now,
13 + 2x = a + b
13 + 2x = 35
2x = 22
x = 11
Thus,
4 11 9
15 20
35
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Complete the calculations so that each shows the correct sum of difference (GIVING 30 POINTS)
Answer:
See below ↓↓↓
Step-by-step explanation:
a) 2 . 1 4 0 b) 2 9 . 9 9 c) 6 . 1 5 7
+ 1 . 7 2 5 + 1 . 4 2 - 1 . 0 0 9
3 . 8 6 5 3 1 . 4 1 5 . 1 4 8
Please help me con la resolución porfa
Answer:
2,591 esta bien la respuesta
If k is a nonzero constant, what is the slope of the line containing the points (k,2k) and (3k,k)
Answer:
The slope is -1/2
Step-by-step explanation:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{k-2k}{3k-k}\\ \\m=\frac{-k}{2k}\\ \\m=-\frac{1}{2}[/tex]
A synthetic diamond has a density of 3.5 grams per cubic centimeter and a mass of 6.3 grams. What is it's volume?
Answer: 1.8 cubic cm
Step-by-step explanation:
A triangle has one side of length 5 and another of length 9. Which of the following are possible lengths of the third side?
Answer:
Anything between 4 and 14
Step-by-step explanation:
When two lengths of a triangle are added together, they must be greater than the third side. Therefore the unknown length cannot be equal to or less than 4 nor equal to or greater than 14.
Scott invests $1000 at a bank that offers 6% compounded annually.Write an equation to model the growth of the investment
Answer:
Step-by-step explanation:
Using the formula for the growth of investment:
.....[1]
where,
A is the amount after t year
P is the Principal
r is the growth rate in decimal
As per the statement:
Scott invests $1000 at a bank that offers 6% compounded annually.
⇒P = $1000 and r = 6% = 0.06
substitute these in [1] we get;
⇒
Therefore, an equation to model the growth of the investment is,
Find the missing
information.
Arc length-1.5 ft
Radius-?
Central angle-pie/4 rad
Round to the nearest thousandth.
Answer:
1.91 ft
Step-by-step explanation:
Formula
l = rαwhere :
l = arc lengthr = radiusα = central angleSolving for r
l = rαr = l/αr = 1.5/(π/4)r = 6/πr = 1.90985932 ftr = 1.91 ft (nearest thousandth)Can y’all help me on this graph work asap pls
If the half-life of carbon-14 is 5730 years, how old is a mummy having only 30% of the normal amount of carbon-14?
Answer:
17190 years.
Step-by-step explanation:
The half-life of carbon-14 is
5730 years.
Therefore, after1 half-life there is 50%=12 of the original amount left.2half-lives there is 25%=14of the original amount left.3 half-lives there is 12.5%=18 of the original amount left.
1−78=18
So, your answer would be the time it takes for carbon-14 to elapse 3 half-lives.
5730⋅3=17190
35. Eastview Junior High students order sweatshirts and T-shirts in either purple or gold. Of the
students who ordered a sweatshirt, the relative frequency of ordering a gold one is half of the
relative frequency of ordering a purple one. Which two-way table could show the data from the
orders?
An equilateral triangle with side length 19 cm is shown in the diagram, work out the height of the triangle. Give your answer rounded to 1 DP. The diagram is not drawn accurately.
Answer:
h = 16.5
Step-by-step explanation:
Remark
The formula below really is the Pytharagan formula disguised.
h^2 = hypotenuse (side)^2 - (1/2 side)^2
Givens
side = 19 cm
Solution
h^2 = 19^2 - (1/2*19)^2 Substitute given into formula
h^2 = 361 - (9.5)^2 square 9.5
h^2 = 361 - 90.25 Subtract
h^2 = 270.75 Take the square root of both sides
√h^2 = √270.75
Answer: h = 16.5
Last year. Samara practiced playing the violin for 26 hours the piano for 35 hours, the flute for 41 hours, and the drums for 18 hours How many days in total did she practice playing her musical instruments? Explain Your answer.
Answer:
5 days
Step-by-step explanation:
26+35+41+ 18 = 120
120/24 = 5
FREE BRAINLIEST Write the equation for the parabola that has x− intercepts (−3,0) and (4,0) and y− intercept (0,12).
Answer:
f(x) = -x^2 + x + 12.
Step-by-step explanation:
f(x) = a(x - 4)(x + 3) as the x-intercepts are -3 and 4.
a is some costant.
At the y intercept x = 0 so we have:
y = 12 = a(0-4)(0+3)
12 = -12a
a = -1
So our eaution is f(x) = -(x - 4)(x + 3)
= -(X^2 - x - 12)
= -x^2 + x + 12
Can someone solve this for me please.
Answer:
y= .5x+2
Step-by-step explanation:
Slope= 2/4 (rise over run) = .5
B/ y intercept = 2
y=.5x+2
Write an expression that is equivalent to 1.5a +4.7+0.25a-0.3-0.5a
Answer:
1.25a-4.4
Step-by-step explanation:
you take :1.5a+0.25a-0.5a=1.25
then:4.7+0.3=4.4
1.25a-4.4
but am not sure sorry
Answer:
1.25a + 4.4Step-by-step explanation:
Collect like terms and simplify
1.5a +4.7 + 0.25a - 0.3 - 0.5a = a(1.5 + 0.25 - 0.5) + (4.7 - 0.3) = 1.25a + 4.4solve for x
sin(2x)=sin(x)
Explain steps please
There are multiple possible solutions for x, two examples are x = 0° and x = 360°.
How to find the value of x?We need to solve the equation:
sin(2x) = sin(x)
Then we need to find a value x such that the sine of 2x is equal to the sine of x.
Now, because of the periodicity of the sine equation, there are a lot of possible values of x.
One example, trivial, is x = 0, this is because 2*0 = 0, then we would have:
sin(2*0) = sin(0)
sin(0) = sin(0).
Another case is if we take x = 360° (remember that 360° is the period of the sine function), then we can have:
sin(2*360°) = sin(360°)
sin(720°) = sin(360°) = 0
Then x = 360° is another solution.
If you want to learn more about the sine function, you can read:
https://brainly.com/question/9565966
PLEASE HELP I AM CHOOSING BRAINLIEST
Answer:
0
Step-by-step explanation:
since (x + 7) is a factor (aka. a multiple of) (x + 7) that means there cannot be a remainder. h(x) = n(x+7) , n being any whole number
for example
2(x+7) would be a factor of (x+7) and 2(x+7)/(x+7) = 2 will not leave a remainder
Solve this problem
need fast
[tex] {6}^{x + 3} = \sqrt{6} [/tex]
Answer:
x=-5/2
Step-by-step explanation:
Hi there!
We are given the following equation:
[tex]6^{x+3} = \sqrt{6}[/tex]
We want to find the value of x
This is an exponential equation. In order to find the value of x, we need to make sure that both sides of the equation are at the same bases before we solve the equation
On the left side, we have 6 (the base) raised to the power of x+3
On the right, we have √6
Here's a trick to make this problem easier: the square root of a number is equal to that number, raised to the power of 1/2. In other words, √a is equal to [tex]a^\frac{1}{2}[/tex]
Therefore, √6 is equal to [tex]6^\frac{1}{2}[/tex]
Rewriting the equation then:
[tex]6^{x+3}=6^\frac{1}{2}[/tex]
Both sides have the same base (6)
Now we can solve the equation for x. Simply take what the exponents are, and then set them equal to each other.
This means:
x + 3 = 1/2
Subtract 3 from both sides
x+3=1/2
-3 -3
___________
x = -5/2
Hope this helps!
The mathematic department of a college has 14 male professors, 12 female professors , 14 male teaching assistants , and 11 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is a
Professor or a male
The probably be an integer or a traction Simptly you answer)
Answer:
Male
Step-by-step explanation:
There are 28 males and 26 professors so you are more likely to choose a male rather than professor of any other gender!