Answer:
x=13.7
Step-by-step explanation:
CD=CB=6
AC=AD+CD => AC=9+6 => AC=15
AC^2= AB^2 + BC^2 => 15^2 = X^2 + 6^2 => 225 = X^2 + 36 => X^2 = 225 - 36 => X^2 = 189 => X=13.7
The value of x or measure of the tangent line is 13.7 units
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We have to find the value of x
CD=CB =6 units
CA=CD+DA
CA=9+6
=15 units
By pythagoras theorem
6²+x²=15²
36+x²=225
x²=225-36
x²=189
x=13.7=14
Hence, the value of x or measure of the tangent line is 13.7 units
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ2
What's the solution ?
5^3x=25^(x+2)
there is no solution
Kathy gets to school at 8.20 a.M every day.It takes her 12 minutes to get from her house.Kathy wants to get to school 15 minutes earlier what time should kathy leave her house?
Answer:
7:53
Step-by-step explanation:
subtract 15 minutes from the time she arrives.
you get 8: 05 a.m. the distance from home to school is 12 minutes to reach at 8:0 5 subtract 12 minutes to know what time she'll leave...
if you remove 12 minutes from 8 or 5 a.m. get 7:53 a.m.
No fake answers or reported.
This is your chance to demonstrate your basketball skills! You have been chosen to participate in a paper-ball throwing contest. Directions: 1. Use the scrap paper to make 10 paper balls per group. (Wad the paper balls up tightly so they are easier to aim.) 2. Place a trash can (or other large container) 5 feet away. 3. Predict how many paper balls you will be able to get into the basket. Type your prediction. 4. Type your results as a fraction. 5. Type your results as a decimal.
Answer:
I Predict I can make all 10/10 paper balls into the trash can.
Step-by-step explanation:
Sadly, I was wrong, I only got 8 paper balls into the trash can...Its not my fault though, my cat kept attacking my midair balls, anyway I got 8/10 which means I got 80 percent which means I got...move decimal one left...I got (in decimal) .8 (I'm ticked that I missed any cat or no cat, My fav sport is basketball and usually in really good with my shots)
Quadrants on the coordinate plane Select the quadrant or axis where each ordered pair is located on a coordinate plane. Quadrant Quadrant II Quadrant III Quadrant IV I-axis y-axis (-9.-8) (1.0) (7.5.2 Stuck? Watch a video or use a hint. Report a problem
Answer:
lll
Step-by-step explanation:
a computer store sells six different computers four different monitors five different printers and three different multimedia packages how many different computer systems are available?
please help this is urgent
Answer:
Im pretty sure its 18.
Step-by-step explanation:
Using the Fundamental Counting Theorem, it is found that 360 different computer systems are available.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem, the store sells six different computers four different monitors five different printers and three different multimedia packages, hence the parameters are [tex]n_1 = 6, n_2 = 4, n_3 = 5, n_4 = 3[/tex], and the number of systems is:
[tex]N = 6 \times 4 \times 5 \times 3 = 360[/tex]
To learn more about the Fundamental Counting Theorem, you can check https://brainly.com/question/24314866
Find the volume of a cylinder if the radius is 3 and the height is 9
Answer:
81pi
Step-by-step explanation:
pi3^2=9pi
9pi * 9 = 81pi
Answer:
254.34 un³
Step-by-step explanation:
π × 3² × 9
π × 9 × 9
3.14 × 9 × 9
254.34
Please help! - Geometry - 15 points - One question -
Answer: m<DCB= 50 degrees
Step-by-step explanation:
120= (15x+5)+(22x+4)
120= 37x+9
111= 37x
x=3
15(3)+5
45+5=
50
Sheldon is a long distance runner. He can run a mile at a consistent pace of 6 4/5 minutes. How many miles can he run in 30 minutes, if he keeps that pace? miles. please put as fraction
Answer:
n
Step-by-step expmlanation:
Answer:
10-15 miles I believe
Solve n÷6>2. Graph the solution.
Step-by-step explanation:
n/6 > 2
x6. x6
n > 12
hope this helps
A box is shaped like an octagonal prism. Here is what the base of the prism looks like. If the height of the box is 7 inches, the volume of the box will be [1] cubic inches.
Answer:
The volume of the box is 33.796 cubic inches
Step-by-step explanation:
Given
[tex]Height = 7in[/tex]
See attachment for the base of the prism
Required
The volume of the box
From the attachment, we have:
[tex]a = 1in[/tex] -- side length of the octagon
The area is then calculated as:
[tex]Area = 2 * (1 + \sqrt 2)a^2[/tex]
So, we have:
[tex]Area = 2 * (1 + \sqrt 2)* 1^2[/tex]
[tex]Area = 2 * (1 + \sqrt 2)* 1[/tex]
[tex]Area = 2 * (1 + \sqrt 2)[/tex]
Evaluate the square root
[tex]Area = 2 * (1 + 1.414)[/tex]
[tex]Area = 2 * (2.414)[/tex]
[tex]Area = 4.828[/tex]
The volume is then calculated as:
[tex]Volume = Height * Base\ Area[/tex]
[tex]Volume = 7 * 4.828[/tex]
[tex]Volume = 33.796[/tex]
Answer:
287 is the right answer
Step-by-step explanation:
Hopes this helps.
Form a third-degree polynomial function with real coefficients, with leading coefficient 1, such that - 2 + i and 7 are zeros.
In standard form, this third-order polynomial - call it p(x) - has real coefficients a, b, c, d so that it is written as
p(x) = a x ³ + b x ² + c x + d
We're told the leading coefficient is a = 1, so
p(x) = x ³ + b x ² + c x + d
Since the coefficients are all real, any complex roots with non-zero imaginary part occurs alongside its complex conjugate, so the fact that -2 + i is a root means that its conjugate, -2 - i is also a root.
Then by the factor theorem, we can write p(x) as the product of linear terms involving its roots:
p(x) = (x - (-2 + i )) (x - (-2 - i )) (x - 7)
Now just expand this to get
p(x) = x ³ - 3 x ² - 23 x - 35
Solve for the value of x! Please help don’t use this just for points
Answer:
x=3
Step-by-step explanation:
If all of the angles and sides are congruent, then you would just subtract 7 by 4 and get 3 for x.
IS A RIGHT ??! PLZ HELP ASAP !!
Answer:
I think so
Step-by-step explanation:
Please mark brainliest and I will give you a good report
Simplify by multiplying
(5x-2)(3x+4)
Answer:
15x - 8
Step-by-step explanation:
hope it helps
15x^2+14x-8
Hope this helped ψ(`∇´)ψ
Solve for x. Round to the nearest tenth!
Answer:
x=1.7
Step-by-step explanation:
sin20=x/5
x=5sin20
x=1.7
Each figure shows a triangle with one of its angle bisectors.
Answer:
m<2 is 17 degrees
Step-by-step explanation:
We can see that the angle at the vertex E was bisected to give two different but equal angles
Thus, we have it that;
2x + 7 = 4x-3
4x-2x = 7+ 3
2x = 10
x = 10/2
x = 5
so m<2 = 4(5) -3 = 20-3 = 17 degrees
If f (2) = 2x2 + 3x – 9 and g(x) = 3x2 + 8 find (f + g)(x)
Answer:
3x² + 13
Step-by-step explanation:
f(2) = 2(2)² + 3(2) - 9 = 8+6-9 = 5
g(x) = 3x² + 8
added together: 3x² + 8 + 5 = 3x² + 13
5. A standard-size volleyball court has an area of 1,800 square feet. The base of the court is 60 feet. What is the height of the court?
Answer:
30 feet
Step-by-step explanation:
The area is found by multiplying the base and the height. So to find the answer, you divide 1,800 by 60 to get 30.
AABC is dilated by a factor of to produce AA'B'C! 3 What is A'B' , the length of AB after the dilation? What is the measure of 24? A. AB = 68, MZA= 28" B. AB'= 15, mZA= 62 C. ABP = 17, m.ZA'= 14° D. A'B'= 17, mAA'= 28.
ILL MARK BRANLIEST
Answer:
a it is a because u can see it
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
A (-2, 5)
Step-by-step explanation:
The attached shows the rectangle and the offered points. The point not on the rectangle is A(-2, 5).
__
If we examine the coordinates, we see that the y-values must be -2 or 3 for a point to be on the rectangle. Similarly, the x-values must be -2 or 5.
The offered point A has an appropriate x-value, but not an appropriate y-value. Point A is not on the rectangle.
Matthew invested $4,700 in an account paying an interest rate of 3 3/8% compounded
monthly. Peyton invested $4,700 in an account paying an interest rate of 3 1/4%
compounded continuously. After 14 years, how much more money would Matthew
have in his account than Peyton, to the nearest dollar?
Answer:
$126
Step-by-step explanation:
We solve using Compound Interest formula
For Matthew
Matthew invested $4,700 in an account paying an interest rate of 3 3/8% compounded monthly.
P = $4700
R = 3 3/8 % = 3.375 %
t = 14 years
n = Compounded Monthly = 12
Hence,
First, convert R as a percent to r as a decimal
r = R/100
r = 3.375/100
r = 0.03375 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 4,700.00(1 + 0.03375/12)^(12)(14)
A = 4,700.00(1 + 0.0028125)^(168)
A = $7,533.80
For Peyton, we are using a different compound interest formula because it is compounded continuously
Peyton invested $4,700 in an account paying an interest rate of 3 1/4%
compounded continuously.
P = $4700
R = 3 1/4 % = 3.25%
t = 14 years
n = Compounded continuously
First, convert R as a percent to r as a decimal
r = R/100
r = 3.25/100
r = 0.0325 rate per year,
Then solve the equation for A
A = Pe^rt
A = 4,700.00e^(0.0325)(14)
A = $7,408.01
After 14 years, the amount of money Matthew would have in his account than Peyton, to the nearest dollar is calculated as:
$7,533.80 - $7,408.01
= $125.79
Approximately = $126 to the nearest dollar
Answer:
126
Step-by-step explanation:
126 to the nearest dollar
The image of (2, - 1) after a translation of (x, y) + (x -1, y+3) is
4. Car types 318 words in 3 minutes. At this rate, how many words does Carl type in 5 minutes?
2x – y = 7
y = 2x + 3
Answer:
2x – y = 7 answer for this one is x-1/2y+7/2 (the '/' is a fraction)
y = 2x + 3 is x=1/2y+-3/2
Step-by-step explanation:
need the answers to these questions please
Answer:
a) [tex]p = 88\,cm[/tex], b) [tex]p = 24\,cm[/tex], c) [tex]p \approx 25.424\,m[/tex], d) [tex]p \approx 39.368\,cm[/tex]
Step-by-step explanation:
a) The perimeter is the sum of the three sides of the internal square and the remaining sides of the external rectangle, that is:
[tex]p = 3\times 8\,cm + 2\times 4\,cm +2\times 20\,cm + 16\,cm[/tex]
[tex]p = 88\,cm[/tex]
b) The perimeter is the sum of the two sides of the internal triangle and the remaining sides of the external rectangle, that is:
[tex]p = 2\times 4\,cm + 2\times 6\,cm + 4\,cm[/tex]
[tex]p = 24\,cm[/tex]
c) The perimeter is the sum of the two sides of the circular section and the three sides of the lower rectangle, that is:
[tex]p = \frac{\pi}{2}\times 6\,cm + 8\,cm + 6\,cm + 2\,cm[/tex]
[tex]p \approx 25.424\,m[/tex]
d) The perimeter is the sum of the external sides of the triangle and rectangle, that is:
[tex]p = 10\,cm + 12\,cm + 12\,cm + 12\,cm - \sqrt{(12\,cm)^{2}-(10\,cm)^{2}}[/tex]
[tex]p \approx 39.368\,cm[/tex]
what are the solution to x^2+6x=27
Step-by-step explanation:
So in order to solve, you have to set the equation equal to zero by subtracting 27 from both sides. You'll end up with x^2 + 6x -27 = 0.
Now, we can use the quadratic formula to solve.
I attached it below.
Your a value will be 1, the b value is +6, and the c value is -27.
Plug into the formula and then solve. :)
HELP me please with 9,10,11,12
Answer:
9.) The Outlier is 18
-The outlier is the number that stands out and is different
Anybody help me please!!!!!!!!
Answer:
A reflection over the x axis
Step-by-step explanation:
With the x axis you flip it down or up
With the y you flip it to the left or to the right
whats the surface area of 12 length 4 high and 5 width it is also a Triangle prism
Answer:
The answer is most likely 174.68
Step-by-step explanation:
Using the formula A = (2A_B) + (a + b + c)(h)
we can find the surface area
12 is a and c
5 is b
4 is h
This question was vague so the answer might be incorrect.
Evaluate the expression shown below and write your answer as a fraction in simplest form.
Answer:
33/4=8.25 or 8 1/4
Step-by-step explanation: