Answers
You just have to use pythagoras rule
Answer:
Explanation is in the attachment
hope it is helpful to you
Related Questions
If you were asked to equate the sides of an equation, how would you do that
Answers
Answer:
you would divide an equation from the multiple and then you would simplify the equation for an answer
A lighthouse casts a 128-ft shadow. A nearby lamppost that measures 5
feet casts an 8-foot shadow. What is the height of the light house, rounded
to the nearest foot? *
Answers
Answer: 80 feet
Step-by-step explanation:
We can write these as fractions and do cross multiplication with the numerator being the height of the object while the denominator being the length of the shadow:
5 * 128 = 8x
640 = 8x
80 = x
Thus, the height of the lighthouse is 80 feet tall.
Find the area of the parallelogram
Answers
Answer:
The answer is 32.
Step-by-step explanation:
Just multiply the height by the base length. 4*8=32
is AC greater than, less than, or equal to BC? explain your reasoning
Answers
Answer:
AC is greater than BC
Step-by-step explanation:
First, we know that the angle of a straight line is 180°, so angle B as a whole is equal to 180 degrees. Therefore, angle YBC + angle ABC = 180 degrees. As angle YBC is a right angle, signified by the small square on the angle, it is 90 degrees. Therefore,
90 degrees + angle ABC = 180 degrees
subtract 90 degrees from both sides to isolate angle ABC
angle ABC = 90 degrees
Therefore, as angle ABC is equal to 90 degrees, and a right angle is 90 degrees, triangle ABC has a right angle, making it a right triangle.
In a right triangle, using the Pythagorean Theorem, the square of the side opposite the right angle is equal to the sum of the squares of the other side. Since side AC is opposite the right angle, we can say that
AC² = AB² + BC²
As the length of a side has to be greater than 0, we can say that
AC² = AB² + BC²
AB² > 0
AC² > BC²
square root both sides
AC > BC
Therefore, AC is greater than BC
3/4 - 5/8
can someone plz tell answer
Answers
Answer: 1/8
Step-by-step explanation:
Convert 3/4 so it has 8 as the denominator. 3/4 = 6/8. Now you can subtract. 6/8 - 5/8 = 1/8.
Please help me with this
Answers
Answer:
52 in^2
Hope this helps!
Hey Help me out please, thanks!
Answers
Answer:
The first one: 0=-3x-5+x²
Step-by-step explanation:
You have to rearrange the equation to identify the coffecients on the quadratic.
Answer:
First one.
Step-by-step explanation:
Put in standard form. Highest exponent to lowest to constant.
[tex]x^{2}[/tex] - 3x - 5 = 0
a[tex]x^{2}[/tex] - bx - c = 0
A drawer is filled with 2 black shirts, 7 white shirts, and 11 gray shirts.
One shirt is chosen at random from the drawer. Find the probability that it is not a black shirt.
Write your answer as a fraction in simplest form.
Answers
Answer:
Probability of the chosen T-shirt not being black will be equal to 9/10
Step-by-step explanation:
In order to solve this we need to understand that probaility is equal to the number of those outcomes that we want divided by the total number of outcomes. In our case the total number of outcomes is 20 (2 + 7 + 11) which is the total number of T-shirts, and the number of outcomes that are favorable to us is equal to 18 (outcomes without a black T-shirt). Therefor probability of the chosen T-shirt not being black will be equal to...
18/20 = 9/10
if$3=£2 and Rs. 325=$3, how many pound(£) will be equal to Rs. 39000
Answers
Answer:
Rupees 39,000 are
378.63 Pound sterling
Which of the following graphs represents the equation y-2 = 3(x - 1)?
Answers
Answer:
Graph B
Step-by-step explanation:
The vertical intercept I am getting is (0,-1) and B is the only one with that point. Therefore, it should be B.
What number, divided by 3/7 , will result in a value of 2 1/3?
Answers
Assume the equation has a solution for z.
-cz+ 6z = tz + 83
z=?
Answers
Answer:
z = 83 / (- c + 6 - t)
Step-by-step explanation:
Given:
-cz+ 6z = tz + 83
z=?
-cz+ 6z = tz + 83
Collect like terms
-cz+ 6z - tz = 83
Factorize
z(- c + 6 - t) = 83
Divide both sides by (- c + 6 - t)
z(- c + 6 - t) / (- c + 6 - t) = 83 / (- c + 6 - t)
z = 83 / (- c + 6 - t)
Answer:
Step-by-step explanation:
3 1/2 divided by 2 1/6=
Answers
Answer:
21/13
Step-by-step explanation:
3 1/2 = 7/2
2 1/6 = 13/6
7/2 divided by 13/6
7/2 X 6/13 = 42/26 = 21/13
Answer:
Step-by-step explanation:
3 1/2 = 7/2 and 2 1/6 = 13/6
7/2 divided by 13/6 = 7/2 x 6/13
42/26
21/13 is your final answer.
Find the value of `x´ in the given parrallelogram.
Answers
3x-12=x+6
2x-12=6
2x=18
X=9
Step-by-step explanation:
=> (3x-12) =(x+6)
or,3x - x = 6 + 12
or,2x = 18
or,x = 18/2
•: x=9#
A sequence of transformations is described below.
A dilation about a point P
A rotation about another point Q
A vertical stretch about the horizontal line PQ
A reflection over a line PQ
Here is the answer-
Neither angle measure nor segment length is preserved. Here's why-
This sequence includes a vertical stretch, which is neither a rigid transformation nor a dilation.
Answers
Answer:
I don't understand this
What ordered pairs are the solutions of the system of equations shown in the graph below?
Answers
Answer:
(1,-3) and (4,-6)
Step-by-step explanation:
The solutions are where the linear line intersects the graphed parabola.
What is an equation of the line that is parallel to y = 3x - 8 and passes
through the point (4,-5)?
Answers
Answer:
[tex]y=3x-17[/tex]
Step-by-step explanation:
Parallel equations always share a slope.
So since we know the slope and a point the equation needs to pass through we can plug in the values and replace -8 with [tex]b[/tex]
[tex]-5=3(4)+b[/tex]
simplify both sides
[tex]-5=12+b[/tex]
isolate the variable
[tex]-17=b[/tex]
plug [tex]b[/tex] back into the equation and you get
[tex]y=3x-17[/tex]
Answer:
y = 3 x + 11
Explanation:
Parallel lines have the same slopes.
The slope of the new line will have the same slope as the given line:
y = 3 x − 4
⇒ m = 3
One point on the line is given,
( − 2 5 ) .
This is ( x 1 y 1 )
The formula for slope is
m = ( change in y values/ change in x-values ) = y 2 − y 1/ x 2 − x 1
If you have the slope and one point , substitute them into a formula which is based on the formula for slope given above.
y − y 1 = m ( x − x 1 )
y − 5 = 3 ( x − ( − 2 ) )
y − 5 = 3 ( x + 2 )
Simplify to get the required equation of the line.
y = 3 x + 6 + 5
y = 3 x + 11
Step-by-step explanation:
Help me plz to find product
Answers
Step-by-step explanation:
Explanation is in the attachmenthope it is helpful to you ☺️
find the 9th and 15th terms of the following geometric sequence 2, -4, 8, -16
Answers
Step-by-step explanation:
given the geometric sequence 2, -4, 8, -16, ...
a1 = 2
r = -4/2 = -2
find : a9 and a15
solutions:
an = a1. r^(n-1)
=> a9 = 2. (-2)^(9-1)
= 2. (-2)^8
= 2. 2^8
= 2^9
= 512.
=> a15 = 2. (-2)^(15-1)
= 2. (-2)^14
= 2. 2^14
= 2^15
= 32,768
Step-by-step explanation:
Hey there!
The given geometric sequence is: 2, -4, 8, -16.
The;
a1 = 2
Common ratio (r) = T2/T1
= -4/2
= -2
Now;
Use general formula of geometric sequence;
[tex]tn = {a1.r}^{n - 1} [/tex]
Where, "a1" is first term, "n" is no.of terms and "r" is common ratio.
Then;
[tex]t9 = 2 \times { (- 2)}^{9 - 1} [/tex]
or, t9 = 2*256
Therefore, t9 = 512.
Again;
[tex]t15 = 2. { (- 2)}^{15 - 1} [/tex]
or, t15= 2*16384
Therefore, t15 = 32768.
Hope it helps!
Can someone help me with this math homework please!
Answers
Answer:
11.2
Step-by-step explanation:
[tex]p =\frac{160.16}{14.3}=\frac{160.16*10}{14.3*10}\\\\p = \frac{1601.6}{143}\\\\[/tex]
p = 11.2
Answer:
The person above me is correct I just did the work and I got the same answer as them :)
Step-by-step explanation:
Find the value of x. Round to the nearest tenth.
Answers
Answer:
x = 7
Step-by-step explanation:
First we find out what we are using sin,cos, or tan then we plug in the numbers
Sin 26 x 16 = 7
Someone help me please !!
Answers
Answer:You can also use tables to represent functions. Instead of using two ovals with circles, a table organizes the input and output values with columns. ... Remember, a function can only assign an input value to one output value. If you see the same x-value with more than one y-value, the table does not represent a function.
Step-by-step explanation:
Which of the following is the equation of the quadratic function below?
Answers
Answer:
C y=x^2+2x+1
Step-by-step explanation:
what is the y-coordinate of the red point?
Answers
The y-coordinate of the red point is -3.
Factor using the perfect squares method:
x^2 - 3x + 16
Answers
Answer:
what are the answer choice?
Step-by-step explanation:
Evan, James, and Burt are fishing in a lake that has 200 fish. They are going to be fishing for three hours. What is the probability that they each will catch 3 fish?
Answers
Answer:
The probability that they each will catch 3 fish is 0.000063956
Step-by-step explanation:
The hyper geometric distribution is used to solve this as it has a population, a sample , number of successes for both the population and sample.
Here
Population size= N =200
Sample size= n =9= (3*3)
Number of successes in population = k = 3 hours
Number of successes in sample = x= 3
Applying the hyper geometric distribution
P (x=3) = kCx *(N-k) C (n-x)/ N Cn
= 3 C 3 * 197 C 6/ 200 C 9
=0.000063956
The probability that they each will catch 3 fish is 0.000063956
Write the equation for a parabola with a focus at (6,-4) and a directrix at y= -7
Answers
Given:
The focus of the parabola is at (6,-4).
Directrix at y=-7.
To find:
The equation of the parabola.
Solution:
The general equation of a parabola is:
[tex]y=\dfrac{1}{4p}(x-h)^2+k[/tex] ...(i)
Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.
The focus of the parabola is at (6,-4).
[tex](h,k+p)=(6,-4)[/tex]
On comparing both sides, we get
[tex]h=6[/tex]
[tex]k+p=-4[/tex] ...(ii)
Directrix at y=-7. So,
[tex]k-p=-7[/tex] ...(iii)
Adding (ii) and (iii), we get
[tex]2k=-11[/tex]
[tex]k=\dfrac{-11}{2}[/tex]
[tex]k=-5.5[/tex]
Putting [tex]k=-5.5[/tex] in (ii), we get
[tex]-5.5+p=-4[/tex]
[tex]p=-4+5.5[/tex]
[tex]p=1.5[/tex]
Putting [tex]h=6, k=-5.5,p=1.5[/tex] in (i), we get
[tex]y=\dfrac{1}{4(1.5)}(x-6)^2+(-5.5)[/tex]
[tex]y=\dfrac{1}{6}(x-6)^2-5.5[/tex]
Therefore, the equation of the parabola is [tex]y=\dfrac{1}{6}(x-6)^2-5.5[/tex].
10 points!!!!!:)
Describe the graph of the function.
[tex]y = \sqrt{x + 3} [/tex]
a). the graph is a radical function y=sqrt(x) shifted 3 units right.
b). the graph is a radical function y=sqrt(x) 3 units left.
c). the graph is of exponential growth.
d). the graph is an absolute value function with vertex (-3,0).
pls help me:).
Answers
Answer:
b) y=sqrt(x) shifted 3 units left
Step-by-step explanation:
3rd line in the attached table:
f(x+3) = sqrt(x+3) horizontal translation left 3 units
which of the points lies on the curve y=x^3
Answers
Answer:
D
Step-by-step explanation:
Hello,
A: no since (1/3)^3=1/27 not 1/9
B: no since (-1)^3=-1 not 1
C: no since (-2)^3=-8 not -6
D: yes since (-1/2)^3=-1/8
Answser D
Emily and Kylie are 140 miles apart, traveling towards each other. If Kylie travels 12 mph and Emily travels 8 mph how long until they meet?
Answers
Answer: 7 hr
Step-by-step explanation:
Given
Distance between Emily and Kylie is [tex]140\ \text{miles}[/tex]
Speed of Emily [tex]v_e=12\ mph[/tex]
Speed of Kylie [tex]v_k=8\ mph[/tex]
Distance traveled by Emily [tex]\Rightarrow d_e=12t[/tex]
Distance traveled by Kylie [tex]\Rightarrow d_k=8t[/tex]
[tex]\Rightarrow 12t+8t=140\\\Rightarrow 20t=140\\\Rightarrow t=7\ hr[/tex]
They will meet after 7 hour.
