ABC ≃DEF. Find the lengths of the given sides
Answer:
BC = 8 and EF = 8.
Step-by-step explanation:
Since triangle ABC and DEF are congruent to each other, BC corresponds with EF (as determined by the triangle names).
Set BC and EF equal to each other.
x + 6 = 3x + 2
Subtract x from both sides.
6 = 2x + 2
Subtract 2 from both sides.
4 = 2x.
Divide 2 on both sides.
x = 2.
Substitute 2 for x.
BC = 2 + 6
BC = 8
Since we already know that EF is congruent to BC, EF is also 8.
EC = 3(2) + 2
EC = 6 + 2
EC = 8
It takes 14 pints of blueberries to make 4 jars of blueberry jam.
Answer:It takes 14 pints of blueberries to make 4 jars of blueberry jam.
Step-by-step explanation:
Find the area of the triangle
= (1/2 × 6 × 4) square units
= (3 × 4) square units
= 12 square units
Answer:The area of the triangle is 12 square units.
Hope it helps.
Do comment if you have any query.
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Explanation/Solution:First, Identify what is the height and base of the triangle.
[tex] \rightarrow [/tex] Height = 4 units
[tex] \rightarrow [/tex] Base = 6 units
[tex] \\ [/tex]
Now to find the area of the triangle, use the formula:
[tex] \rightarrow [/tex] Area = [tex] \sf \frac{Height × Base }{2} [/tex]
Solve.
[tex] \rightarrow [/tex] = [tex] \sf \frac{4 × 6}{2} [/tex]
[tex] \rightarrow [/tex]= [tex] \sf \frac{24 }{2} [/tex]
[tex] \rightarrow [/tex] = 12
Therefore, the area of the triangle is 12 units.
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#CarryOnLearning
Suppose `h\left(t\right)=-5t^{2}+10t+3`is an expression giving the height of a diver above the water (in meters), t seconds after the diver leaves the springboard.
a. How high above the water is the springboard? Explain how you know.
Answer:
Step-by-step explanation:
a) The height of the springboard above the water should be h(0) : Read, the height at t = 0
h(0) = -5(0) + 10(0) + 3
h(0) = 0 + 0 + 3
h(0) = 3
a) 3 meters
b) The time it takes the diver to hit water should be, the positive 0 solution for t. Remember, in a quadratic equation, there are two values for t where a parabola crosses the horizontal axis, which in this case would be t. Just by looking at the function, h(t) = -5t2 + 10t + 3 , one should be able to see that it cannot be factored easily, so it requires the Quadratic Formula to find the zeros ; x = -b ±√(b2-4ac) / 2a
Substitute t for x, and use the coefficients for a, b, c:
t = (-10 ± √((102 - 4(-5)(3)))/2(-5)
t = (-10 ±√(100 + 60))/-10
t = (-10 ±√160)/-10) ; Now factor the 160 to simplify:
t = (-10 ±√(10*16))/-10
t = (-10 ±4√10)/-10 ; Factor out leading coefficient of -2 from the numerator:
t = -2(5 ± 2√10)/-10
t = (5 ± 2√10)/5
Using a calculator to find the zeros, and disregarding the negative zero (because t starts at 0):
t ≈ 2.265
b) approx. 2.265 seconds for diver to hit water.
c) To find this, set the function equal to 3 to find what other value for t would be equal to 3 (we know one is 0).
-5tt + 10t + 3 = 3
-5t2 + 10t = 0 ; factor out t
t(-5t + 10) = 0
We know t = 0:
We also know that -5t + 10 = 0
-5t = -10
t = 2
c) 2 seconds. This is the time that diver would equal height of t=0 which is where he started, and where he equals the height of the springboard.
d and e) The peak of the dive (parabola), is determined using the formula h = -b/2a (Derived from the Quadratic Formula) to find the y value (in this case, the h value, answering e) and then using that result in the function to find the x value (in this case, the t value answering d) of the point where the parabola (dive path) reaches a maximum(height), or minimum(in upward opening parabolas).
h = -10/2(-5)
h = -10/-10
h = 1
h(1) = -5(1)2 + 10(1) + 3
h(1) = -5 + 10 + 3
h(1) = 8
d) At t = 1 second, diver will have reached peak of dive.
e) At t = 1 second, diver will have reached a maximum height of 8 meters.
nos
5. In the diagram above, zero represents the location of Martin Luther King Middle School Point K represents the
library, which is located to the east of the middle school. In words, create a real-world situation that could
represent point L, and describe its location in relation to 0 and point K.
Answer:
1/12
Step-by-step explanation:
PLEASE HELP WITH THIS ONE QUESTION (what is meant by “describe” is give all the values of the key features).
Answer:
x-intercepts: (1,0), (−2,0) and (2,0)
y-intercept: (0,4)
The graph is rising and crosses 3 times the x-axis and 1 time the y-axis as shown above.
Outliers have very little or no effect on which of the following check all that apply mean median mode range or standard deviation
Outliers are data elements that are far from the other elements of a dataset, and they have little or no effect on the median and the mode
Outliers are usually large or very low values, and they always affect the mean of the dataset.
Also, they affect the range of the dataset.
The standard deviation is dependent on the mean of the dataset.
This means that, outliers would also have effects on the standard deviation.
However, outliers are most likely not to have a considerable effect on the median and the mode of the dataset.
Hence, the true options are mode and median
Read more about outliers at:
https://brainly.com/question/23461655
geomtry plz help 15 points
Answer:
m∠A=88°
Step-by-step explanation:
∠ABC=∠ACB=46° (base angles of isos triangle)
∠BAC=180°-46°-46° (angle sum of triangle)
=88°
What is the least common denominator of 10/19 and 2/13
Answer:
Step-by-step explanation:
Step 1 find the least common multiple of lcm of the denominators
using the distributive property, rewrite the expression (-2x - 8) (-6)
please help and explain how to do it
Answer:
2x8=16-6=10
Step-by-step explanation:
10 is the answer
SLOVE
18(5)
A. 95
B. 90
C. -90
D. -95
Answer:
90
Step-by-step explanation:
do 18x5
A scientist begins with 50 milligrams of a radioactive substance that decays exponentially. After 40 hours, 25 mg of the substance remains. How many milligrams will remain after 59 hours? Round to the nearest milligram.
Based on the information given, the number of milligrams that will remain after 59 hours will be 13.125 milligrams.
Since after 40 hours, 25 mg of the substance has been removed, therefore, the rate per hour will be:
= 25/40 = 0.625.
The amount that will be removed in 59 hours will be:
= 59 × 0.625 = 36.875
The number of milligrams that will remain will be:
= 50 - 36.875 = 13.125 milligrams
Read related link on:
https://brainly.com/question/25776703
The perimeter of a rectangle is 20x -18 feet. If the width of the rectangle is 3x -1 feet, write an expression that can represent the length of the rectangle.
Answer:
l = 7x - 9
Step-by-step explanation:
The length of the rectangle is represented by the expression "7x - 9".
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle is given by the formula:
Perimeter = 2 (length + width)
Therefore, we can set up the equation:
20x - 18 = 2 (length + (3x - 1))
Expanding the parentheses and combining like terms, we get:
20x - 18 = 2 × length + 6x - 2
Moving all the terms to one side, we get:
14x - 18 = 2 × length
Dividing both sides by 2, we get:
7x - 9 = length
Thus, the rectangle's length is expressed by the expression "7x - 9".
Learn more about the Perimeter of the rectangle here:
brainly.com/question/15287805
#SPJ2
What is the value of the expression blow
-8+19+8
A.0
B.11
C.19
D.35
Answer:
C.19
Step-by-step explanation:
-8 and +8 cancel out leaving only the 19
On a map, 1 inch equal 11.7 miles. If two cities are 2.5 inches apart on the map, how far are they actually apart?
Answer:
29.25 miles
Step-by-step explanation:
We can use a ratio to solve
1 inch 2.5 inches
------------ = ----------------
11.7 miles x miles
Using cross products
1 * x = 11.7 * 2.5
x =29.25
A store pays $85 for a picnic table and marks the price up by 25%. What is the new price
1/5 divided by 2/3 input the answer as a fraction
Answer:
Three tenths/ 3/10
Step-by-step explanation:
1/5 divided by 2/3 is 0.3 which is equal to 3/10
what is the inverse of f(x) = x2 − 36
1.7 6/5
2.4 25/25
3.28/3
what is the lowest term?
Answer:
3.
[tex] \frac{28}{3} [/tex]
Step-by-step explanation:
number 1 equals 8 1/5
number 2 equals 5
number 3 equals 9 1/3
help me out guys !!!?
Answer:
4
Step-by-step explanation:
yeah-ya............. right?
Answer:
16
Step-by-step explanation:
because :-
f(x) =[x+6] x=-10
=[-10+6]
=10+6
16
Which is the graph of the linear inequality Ex-2y> -6?
10
Answer:
y<3 is a horizontal line, not included, but all the points below it
Step-by-step explanation:
[tex] - 2y > - 6[/tex]
[tex]y < 3[/tex]
Find the average rate of change of the function from x=1 to x=2.
f(x)=−10/x^2
Enter the exact answer.
Average rate of change =
Answer:
Average rate of change = [tex]\frac{15}{2}[/tex]
Step-by-step explanation:
For a closed interval [tex][a,b][/tex] in a function, the average rate of change is [tex]m=\frac{f(b)-f(a)}{b-a}[/tex].
Thus, given our interval of [tex][1,2][/tex] from the directions, we determine that [tex]f(b)=f(2)=-\frac{10}{(2)^2}=-\frac{10}{4}=-\frac{5}{2}[/tex] and [tex]f(a)=f(1)=-\frac{10}{(1)^2}=-\frac{10}{1}=-10[/tex].
Hence, [tex]m=\frac{f(b)-f(a)}{b-a}=\frac{(-\frac{5}{2})-(-10) }{2-1}=\frac{\frac{15}{2}}{1}=\frac{15}{2}[/tex].
In conclusion, the average rate of change of the function from x=1 to x=2 is [tex]\frac{15}{2}[/tex].
The store owner tells the girls that half of the DVDS are out on loan. How many DVDS does the store own in total?
3
Step-by-step explanation:
i need help to
Find the value of y.
Answer:
y = 155
Step-by-step explanation:
6x + 1 = 2x + 17
x = 4
2 · 4 + 17 + y = 180
y = 155
I hope that this helps!!
Which claim supports this graph?
A- Students Never use social media.
B- Students mostly use social media 0-3 times a day.
C- Students mostly use social media 8-11 times per day.
D- Students are not using social media enough.
Answer:
The answer is C.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Assume that x is a positive acute angle.
Given: sin x =28/53
Find: sin 2x
Answer:
its sophisticated but answer is 3
Step-by-step explanation:
you have to dive deep into it and research
A sun's rays are vertical at the point A on a planet. At the point B, which is 2105 miles due north of A, the angle of the sun measured to be 7.4°. See the figure. Use this information to approximate the radius and circumference of the planet.
Answer:
radius: 1460 micircumference: 9174 miStep-by-step explanation:
If the angle of elevation at point B is 7.4°, then the sun is 90° -7.4° = 82.6° from the vertical. This is the measure of the central angle between the two points. That represents a fraction of a circle that is ...
82.6°/360° = 413/1800 ≈ 0.229444...(repeating)
The relation between the given distance and the circumference is ...
0.294444C = 2105 mi
C = 2105 mi/0.294444 ≈ 9174 mi
The radius of the spherical planet is this divided by 2π:
r = C/(2π) = 9174 mi/(2π) ≈ 1460 mi
The radius of the planet is about 1460 miles; the circumference is about 9174 miles.
PLEASE HELP, I'LL GIVE BRAINLIEST!!
Answer:
3
Step-by-step explanation:
I think the answer is 3 because there are 3 spaces between each dot but I am also not the smartest person so if that's right sorry!
Divide the following polynomial, then place the answer in the proper location on the grid.
(a^2n - a^n - 6) (a^n + 8)
Answer:
Step-by-step explanation:
(a^2n/a^n+8) - (a^n/a^n+8) - (6/a^n+8)
I'm not sure if this is what you're looking for but I got this when dividing.
idrk uuhm ...........................................................
Answer:
huh
Step-by-step explanation:
Answer: Im sorry what is the question?
Step-by-step explanation:
