Answer:
EF is equal to 6.
Step-by-step explanation:
Those triangles are similar so put them in proportion , as in 8/16=EF/12 then cross multiply and solve
On the coordinate plane, point T is located at (0,7) and point U is located at (x,-5). The distance between points T and U is 15 units.
What are the two possible values of x?
Answer:
x = 9 or x = -9
Step-by-step explanation:
The parameters of the given points are;
The location of the point T = (0, 7)
The location of the point U = (x, -5)
Then distance between points T and U = 15 units
The distance between points A and B, 'd', given their coordinates, A(x₁, y₁) and B(x₂, y₂) is found using the following formula;
[tex]d=\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Therefore, for the given points, T(0, 7) and U(x, -5), we get;
[tex]15 = \sqrt{\left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}}[/tex]
Squaring both sides, gives;
[tex]15^2 = \left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}} = (-12)^2 + x^2[/tex]
∴ x² = 15² - (-12)² = 81 = 9²
x² = 9²
∴ x = ±√(9²) = ± 9
The possible values of x are x = 9 or x = -9
A ball is thrown horizontally at the speed of 24 meters per second from the top of a cliff. If the ball hits the ground 6.0 seconds later, approximately how high is the cliff?
Answer:
[tex]h=4m[/tex]
Step-by-step explanation:
Speed [tex]V=24m/s[/tex]
Time [tex]t=6.0s[/tex]
Generally the equation for Height is mathematically given by
[tex]h=\frac{V}{t}[/tex]
[tex]h=\frac{24}{6}[/tex]
[tex]h=4m[/tex]
In a normal distribution, what is the probability that a data value will fall below the
data value associated with a z -score of 3.37?
A 99.96%
B 0.04%
C 1%
D 99.95%
Answer:
A 99.96%
Step-by-step explanation:
The z score shows by how many standard deviations the raw score is above or below the mean. The z score is positive if the raw score is above the mean while the z score is negative if the raw score is below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ z=z-score,\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation\\\\For\ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]
The probability can be gotten from the normal distribution table. Therefore from the normal table:
P(z < 3.37) = 0.9996 = 99.96%
Simplify the expression 2 (2 + 4y) + 3x.
PLS ANSWER ASAP DUE 9:20
Answer:
5x+8y
Step-by-step explanation:
We can first open the brackets by using the distrubitive propety.
2(x+4y)+3x
2x+8y+3x
Now we can combine like terms.
5x+8y.
I combined the 3x and the 2x. This works because imagined I have 3 of something then I got 2 more of that something I would now have 5 of that something.
Hoped this helped,
JoeLouis2
Help down below please
Answer:
Step-by-step explanation:
1. Three million, two hundred ninety eight thousand, seventy six
2. 50,003,087
50,000,000+3000+87
3. 60,400,239
Help me please ITS DUE IN 6 MINS PLEASE
Answer: -6y-12 and 5.5h+14
Step-by-step explanation:
-2(3y+6) = -6y-12
5.1h-2.6h+3(h+4)= 2.5h + 3h+14 = 5.5h+14
If line a has a slope of -3 and is perpendicular to line b, what would is the slope of line b?
Answer:
Slope of line B: 1/3
Step-by-step explanation:
To find a slope perpendicular to another slope, you take its negative reciprocal.
Therefore, line B will have a slope of 1/3 because -3 -> -1/3 -> 1/3
HELP!!
BONUS!!!
PLS ANSWER A B C OR D
Answer:
About 1 1/2 :)
Step-by-step explanation:
The answer is 1.46 which is close to 1.5
Drag and drop the correct angle measures onto the diagram
Answer:
Here you go!
Hope this helps!
279 students went on a field trip. Five buses were filled and 9 students traveled in cars. How many students were in each bus? PLEASEEEEE HELPPPPP ME you get 60 points i dont know if anyone cares but hey
Answer:
90 students.
Step-by-step explanation:
279-9=270, and 270 divided by 9 is 90.
find the length of the missing triangle. round your answer to three decimal places
PLEASE HELP!
Answer:
There is just one simple rules for find other side
Step-by-step explanation:
Think about a triangle and this triangle has 3 side it must have 90° on one edge. We assume the longest side is hipotenus x²+y²=hipotenus² . Look at your question hipotenus is 15 lets try to find other side. X²+12²=15² x=9
What is the explicit formula for the geometric sequence 2, 6, 18, 54, …?
Answer:
3x
Step-by-step explanation:
You multiply the pervious number with 3 to get the next number
For example 2 times 3 = 6
6 times 3 = 18
18 times 3 =54
54 times 3= 162
So on and so forth
PLS HELP Find the value of x.
A. 4
B. 2
C. 7
D. 14
Answer:
ANSWER IS B
Step-by-step explanation:
5x - 3 = 3x + 1
5x - 3x = 1 + 3
2x = 4
x = 4/2
x = 2
Answer:
B. 2
Step-by-step explanation:
The sides 5x - 3 and 3x + 1 are the same length, so you can put an equal sign: 5x - 3 = 3x + 1, x = 2:
5(2) - 3 = 3(2) + 1
10 - 3 = 6 + 1
7 = 7
So x is 2
7th grade math help me pleaseeee
Answer:
4x + 5y = 20
Step-by-step explanation:
4x + 5y = 20
5y = -4x + 20 (Subtract 4x to isolate 5y. Put the 4x in front of the 20)
y = [tex]-\frac{4}{5}x[/tex] + 4 (Divide all by 5 to isolate y)
And then it's done and in slope-intercept form
[tex]-1< -\frac{4}{5} < 0[/tex] or [tex]-\frac{4}{5}[/tex] is greater than -1 but less than 0
I hope this helped :)
please help! thank you!
What is the area of a triangle whose sides are 15 cm, 8 cm and 19 cm?
Dana bought almonds at $8 per can and cashews at $12 per can. In total she bought 470 cans of nuts. Her total bill was $4260. How many cans of each type of nut did she buy? Use either substitution or elimination to solve this problem.
Answer:
almonds =345, cashews=125
Step-by-step explanation:
a=almonds, c=cashews
8a+12c=4260. Equation 1
a + c= 470 Equation 2
a=470-c. Isolate a from equation 2
8(470-c)+12c=4260 sub value of a from equation 2 into equation 1
3760-8c+12c=4260
4c=500
c=125
solve for a by substituting value of c into either equation
a+c=470
a+125=470
a=345
How many pages would same have finished in 126 minutes
A.18
B.13
C.24
D.42
Answer:
Sam will finish 42 pages in 126 minutes.
Step-by-step explanation:
Number of pages read by Sam = 6
Time taken to read these pages = 18 minutes
Rate at which Sam is reading the pages of the book = [tex]\frac{\text{Number of pages read}}{\text{Time taken to read these pages}}[/tex]
= [tex]\frac{6}{18}[/tex]
= [tex]\frac{1}{3}[/tex] pages per minute
Number of pages read in 126 minutes = Rate of reading × Time
= [tex]\frac{1}{3}\times 126[/tex]
= 42 pages
Therefore, Sam will finish 42 pages in 126 minutes.
Andrew is using tiles to decorate a rectangular table that is 4/5 meter long and 2/3 meter wide. What is the area of Andrews table in square meters
Given:
Length of rectangular table = [tex]\dfrac{4}{5}[/tex] meter
Width of rectangular table = [tex]\dfrac{2}{3}[/tex] meter
To find:
The area of the table.
Solution:
Area of a rectangle is:
[tex]A=l\times w[/tex]
Where, l is the length and w is the width.
Substitute [tex]l=\dfrac{4}{5}[/tex] and [tex]w=\dfrac{2}{3}[/tex] in the above formula to find the area of the rectangular table.
[tex]A=\dfrac{4}{5}\times \dfrac{2}{3}[/tex]
[tex]A=\dfrac{8}{15}[/tex]
Therefore, the area oft he table is [tex]\dfrac{8}{15}[/tex] square meters.
Write the slope-intercept form of the equation of the line described.
61) through: (-5, -3). parallel to y=-2/5-2
Find the sum of the first 31 terms of the following series, to the nearest integer.
5, 14,23,...
Answer:
4340.
Step-by-step explanation:
14-5 = 9 and 23-14 = 9 so this is an arithmetic series with common difference of 9.
Sum of n terms = (n/2)[2a1 + d(n - 1)]
Here n = 31, d = 9 and a1 = 5.
So, substituting, we have:
Sum of 31 terms = (31/2)[2*5 + 9(31-1)]
= 15.5 * 280
= 4340.
What are the solutions to the equation 0=x^2+4x+8?
Answer:
this are the equation I was taught
Step-by-step explanation:
_(x2+4x+8)=0
Solve unit rate problems- in a soccer league the ratio of boys to girls is 4 to 6 there are a total of 50 players in the soccer league determine how many girls play in the soccer league
A.30
B.20
C.10
D.50
Answer:
30 girls
Step-by-step explanation:
boys to girls
4 to 6
since there are 50 players we have
4*5= 20 to 6*5 =30
because 20+30 =50 players and we keep the ratio equivalent since we multiplied by the same number.
que es el rango en matemáticas
How many poles will there be in a stack of telephone piles if there are 58 in the first layer, 57 in the second, 56 in the third, and so on, with 12 in the top layer?
Answer:
1,645 poles
Step-by-step explanation:
Here, we want to calculate the total number of poles
We can have an arithmetic progression here
Where the last term is the 58 piles , the first term is the top layer which is 12 and the common difference between the piles is 1
Firstly, we calculate the number of stacks which can be obtained using the nth term formula;
Tn = a + (n-1)d
58 = 12 + (n-1)1
58 = 12 + n - 1
58 = n + 11
n = 58-11
n = 47
So we have the stack high up to 47 units
So, using the sum of terms in an arithmetic sequence formula, we have;
Sn = n/2 ( a + L)
where a is the first term 12 and L is the last term 58
Thus, we have
Sn = 47/2( 12 + 58)
Sn = 47/2 * 70
Sn = 1,645
HELPPP PLEASEEEE
Identify the transformations you would apply to f(x) = sin x to graph f(x) = 0.5 sin (x - 30%)
Is 3.02859 a ratio number
Answer:
no
Step-by-step explanation:
it is irrational.
A quadrilateral is a parallelogram if each____ divides a parallelogram into two____.
Answer:
diagonal, congruent triangles
Step-by-step explanation:
a line goes through the points (6,3) and (-6,-3). Find its slope provide the answer as a fraction simplified in lowest
Answer:
1/2
Step-by-step explanation:
y2 - y1 / x2 - x1
-3 - 3 / -6 - 6
-6 / -12
= 1/2
We want to find the slope of a line given that we know that the line passes through the points (6, 3) and (-6, -3).
We will find that the slope is: 1/2
A general line can be written as:
[tex]y = a\cdot x + b[/tex]
Where a is the slope and b is the y-intercept.
If the line passes through the points (x₁, y₁) and (x₂, y₂) then we can write the slope as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
We know that our line passes through (6, 3) and (-6, -3), then the slope of our line will be:
[tex]a = \frac{-3 - 3}{-6 - 6} = \frac{-6}{-12}[/tex]
Now to simplify this, we know that:
-12 = 2×(-6)
Replacing that in the above equation we get:
[tex]a = \frac{-3 - 3}{-6 - 6} = \frac{-6}{-12} = \frac{-6}{2\cdot -6} = \frac{1}{2}[/tex]
Then the slope written as a simplified fraction is:
a = 1/2
If you want to learn more, you can read:
https://brainly.com/question/3605446
I need help on this question. I hope you can help!
Answer:
54
Step-by-step explanation:
Since triangle ABC ~ DEF
Angle A = Angle D
Angle A = 54