Answer:
The length of the altitude PM is 3.5 cm.
Step-by-step explanation:
We are given that QT and PM are the altitudes of the triangle PQR. Also, QR = 8 cm, PR = 7 cm and QT = 4 cm.
We have to find the length of the altitude PM.
As we know that the area of the triangle is given by;
Area of triangle = [tex]\dfrac{1}{2} \times \text{Base} \times \text{Height(Altitude)}[/tex]
Here, in [tex]\triangle[/tex]PQR; Base = PR = 7 cm
Height(Altitude) = QT = 4 cm
So, the area of the triangle PQR = [tex]\frac{1}{2} \times 7 \times 4[/tex]
= 14 sq cm.
Similarly, the area of the triangle can also be;
Area = [tex]\frac{1}{2} \times \text{QR} \times \text{PM}[/tex]
Here, QR = Base of triangle PQR = 8 cm
PM = the required altitude
So, Area of triangle = [tex]\frac{1}{2} \times 8\times \text{PM}[/tex]
[tex]14 =4 \times \text{PM}[/tex]
PM = [tex]\frac{14}{4}[/tex] = 3.5 cm
Hence, the length of the altitude PM is 3.5 cm.
Could these triangles be congruent?
B
E
O yes,
O yes, if AB - DE
s, if BC = 7
O yes, if AB EF
O no, because the hypotenuses must have different
lengths
A
7
С
D
7
F
Answer:
yes, if AB ≅ DE
Step-by-step explanation:
Triangles are said to be congruent if they have the same sides and the same angles.
The following measures are used to determine if triangles are congruent:
1) Angle-side-angle: If two angles and a side of a triangle is equal to two angles and corresponding side of another triangle, then they are congruent.
2) Side-side-side: If all three sides of a triangle is equal to three sides of another triangle, then the two triangles are congruent.
3) Side angle side: If two sides and an included angle of a triangle is equal to the two sides and corresponding angle of another triangle, then they are congruent.
4) Hypotenuse - leg: If the hypotenuse and one leg of a triangle is equal to the hypotenuse and leg of another triangle then they are congruent.
From the triangles DEF and ABC, already, they already have one equal triangle that is ∠F = ∠B and an equal side i.e DF = AC.
To satisfy congruence, two sides and an angle have to be equal, therefore if AB = DE then the two triangles would be congruent
Answer:
D). no, because the hypotenuses must have different lengths
Step-by-step explanation:
I just did the assignment on Edge and it's 100% correct.
Hope this helps!! Also heart and rate if you found this answer helpful!! :)
please help me with this one.
Answer:
2x^2 -x +1 = 0
Step-by-step explanation:
For roots α and β, the original equation can be factored as ...
f(x) = 2(x -α)(x -β)
If we add 1 to each of those roots, the factors become ...
g(x) = 2(x -(α+1))(x -(β+1))
This can be rearranged to be ...
g(x) = 2((x -1) -α)((x -1) -β)
That is, we can get the desired equation by replacing x with x-1, effectively shifting the function right one unit.
2(x -1)² +3(x -1) +2 = 0
2x^2 -x +1 = 0
PLS HELPPPPP!!!!!!!!!!!!!!!!!!!! 15 POINTS
The graph for the equation y = negative 2 x + 1 is shown below. On a coordinate plane, a line with negative slope goes through (0, 1) and (1, negative 1). If another equation is graphed so that the system has no solution, which equation could that be?
Options:
y = negative 2 (x minus one-half)
y = negative one-half (4 x + 2)
y = negative x + 1
y = negative one-half x + 2
Answer:
y = negative 2 (x minus one-half)
Step-by-step explanation:
The equation of a line is given as:
y = mx + c, where m is the slope and c is the intercept on the y axis.
The equation of a line going through (0, 1) and (1, - 1) is calculated using:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\ y-1=\frac{-1-1}{1-0}(x-0)\\ y-1=-2x\\y=-2x+1[/tex]
The solution of two lines is at their point of intersection. The equation of the line that would not have any solution with y = -2x + 1 would be a line that is parallel to y = -2x + 1. Since the two lines would be parallel to each other, their would be no intersection and therefore no solution.
Two lines are said to be parallel to each other if they have the same slope. The slope of y = -2x + 1 is gotten by comparing with y = mx + c, therefore the slope m = -2. From the options the only line with a slope m = -2 is y = -2(x -1/2). Therefore y = -2(x -1/2) is parallel to y = -2x + 1 and would have no solution
Answer:
b
Step-by-step explanation:
i did test
Find the length of AB
Hey there! :)
Answer:
arc AB = 2.5π in (in terms of pi) or ≈7.85 in. (pi = 3.14)
Step-by-step explanation:
Begin by finding the circumference of the circle. Use the formula:
C = 2rπ
C = 2(9)π
C = 18π.
Since ∠AQB equals 50°, set up a ratio to find the length of arc AB:
[tex]\frac{50}{360} = \frac{x}{18\pi }[/tex]
Cross multiply:
50 · 18π = 360x
900π = 360x
Divide both sides by 360:
x = 2.5π in, or ≈7.85 in.
I NEED HELP PLEASE, THANKS! :)
Find the solutions of each equation on the interval [0, 2π). Show work.
Answer: 0π
Step-by-step explanation:
[tex]sin\bigg(\dfrac{3\pi}{2}+x\bigg)+sin\bigg(\dfrac{3\pi}{2}+x\bigg)=-2\\\\\\2sin\bigg(\dfrac{3\pi}{2}+x\bigg)=-2\\\\\\sin\bigg(\dfrac{3\pi}{2}+x\bigg)=-1\\\\\\\dfrac{3\pi}{2}+x\bigg=sin^{-1}(-1)\\\\\\\dfrac{3\pi}{2}+x=\dfrac{3\pi}{2}\\\\\\\large\boxed{x=0}[/tex]
A flare is fired from 4 feet above the ground at a speed of 64 feet per second. The flare will fall to the ground after it burns out.
Answer:
68 feet.Step-by-step explanation:
At maximum height, the velocity of the flare will be zero.
If the flare height above the ground is modeled by the equation
h = -16t²+64t+4
Velocity = dh/dt = 0
-32t + 64 = 0
-32t = -64
t = -64/-32
t = 2secs
This shows that the flare reaches its maximum height after 2secs.
To get the maximum height of the flare, we will substitute t = 2s into the equation h = -16t²+64t+4
h = -16(2)² + 64(2)+4
h = -64+128+4
h = 64+4
h = 68 feet
The maximum height of the flare is 64 feet.
What is (f+g)(3) for functions f(x)=2x+210 G(x)=2x+125
Answer:
347
Step-by-step explanation:
2(3) + 210 = 216
2(3) + 125 = 131
216+131 = 347
Answer:
The function f(x) = 2x + 210 represents the number of calories burned when exercising, where x is the number of hours spent exercising. The function g(x) = 2x + 125 represents the calorie deficit that occurs when following a particular diet, where x is the. number of hours spent exercising.
NEED HELP ASAP!!! thanks!!!
Answer:
6.1 square units
Step-by-step explanation:
Since the triangle was translated from one position to another position, the dimensions of the triangle have not changed. The pre-image and image are congruent.
area = base * height/2
The two sides forming a right angle can be used as the base and the height in the area formula.
BC = base = 2
AB = A'B' = height = 6.1
area = 2 * 6.1/2
area = 6.1 square units
Find S30 HELPP. 10 points!
An arithmetic sequence has Si = -7 and S3 = 0.
Answer:
6
Step-by-step explanation:
Answer:2835
Step-by-step explanation:
6 For every 3 girls in Mr Hegarty's class there are 5 boys. What is the ratio of girls to boys in the class? Give your answer in its simplest form.
We cannot simplify this further because 3 and 5 have no factors in common, other than 1. So we just leave it as is.
34 POINTS see attached
Answer:
Step-by-step explanation:
-2x + 3 = 0
-2x = -3
x = 3/2
-x^2 + 2x + 3 = (-3/2)^2 + 2 × 3/2 + 3
= 9/4 + 3 + 3
= 9/4 + 6
= 33/4
Hope this helps
plz mark as brainliest!!!!!!
Answer:
33/4 or as a mixed number8 1/4Step-by-step explanation:
-2x + 3 = 0
-2x = -3
x = 3/2
-x^2 + 2x + 3 = (-3/2)^2 + 2 × 3/2 + 3
= 9/4 + 3 + 3
= 9/4 + 6
= 33/4
or 8 1/4 as a mixed number
3x = 2x + 18 : slove the equation
Answer:
3x= 2x+18
3x-2×=2×-2×+18
×=18
Answer:
18
Step-by-step explanation:
3x = 2x + 18
3x - 2x = 18
x = 18
Suppose that the distribution of lifetimes of females in France is not symmetric. According to Chebyshev's Theorem, at least approximately what percentage of these lifetimes are within k=3.8 standard deviations of the mean?
Answer:
93.7% of the lifetimes are within 3.8 standard deviations of the mean
Step-by-step explanation:
Generally Chebyshev's Theorem, can be mathematically represented as
[tex]1 - \frac{1}{k^2}[/tex]%
The percentage of these lifetimes that are within k=3.8 standard deviations of the mean is mathematically evaluated using Chebyshev's Theorem as follows
[tex]1 - \frac{1}{k^2}[/tex]% [tex]= (1 - \frac{1}{3.8^2} )[/tex]% = [tex]= 93.07[/tex]%
So from the above calculation we see that 93.7% of the lifetimes are within 3.8 standard deviations of the mean
Please help me i will mark,thank you!! Urgent work please answerr
Answer:
5 and 29
Step-by-step explanation:
If k= -2, l = 3, m = 4.
Then to solve
k + l + m and K^2 + l^2 + m^2 , we have to substitute the value of k, l and m with the respective values.
So for k + l + m :
k + l + m = -2 + 3 + 4 = -2 + 7 = 5
And for K^2 + l^2 + m^2:
K^2 + l^2 + m^2 = -2^2 + 3^2 + 4^2 = 4 + 9 + 16 = 29
Hope this helps
-145 < -14_> -143
a. 4
b. 1
C. 6
d. 9
Answer:
b
Step-by-step explanation:
-141 is larger than -143 and -145
Which shows one way to determine the factors of 4x3 + x2 - 8x - 2 by grouping?
Answer:
(4x+1)(x²-2)
Step-by-step explanation:
one way to determine the factors of 4x^3 + x^2 - 8x - 2 by grouping:
x²(4x+1)-2(4x+1)
(4x+1)(x²-2)
Answer:
(x^2-2)(4x+1)
Step-by-step explanation:
4x^3 + x^2 - 8x - 2
Group:
(4x^3 + x^2)+( - 8x - 2)
Factor out as much as possible: (The GCF)
x^2(4x+1)-2(4x+1)
Regroup:
(x^2-2)(4x+1)
If the point (8. 6) is the result of the composition T3,30 RO,-180º, what are the coordinates of the point prior to the
composition?
A. (-11, -9)
B. (-8, -3)
C. (-8,6)
D. (-5, -3)
Answer:
The correct answer is A. [tex](-11, -9)[/tex].
Step-by-step explanation:
Given that the point is (8,6)
Let this point be A(8,6).
The composition is T3,30 RO,-180º
First translate the point by 3,3.
Let this point becomes A'.
A' is formed by translation of point A by 3,3
i.e.
x coordinate of A' = x coordinate of A + 3 and
y coordinate of A' = y coordinate of A + 3
So, A' (8+3, 6+3)
So, A'(11,9)
Now, a rotation of -180º is applied to point A'.
Let it becomes A''.
By a rotation of -180º, the coordinate gets changed by 2 quadrants.
A is in 1st quadrant because both x and y coordinates are positive.
A'' will be in 3rd quadrant where both x and y coordinates are negative.
Please refer to the attached image for the graphical representation of A, A' and A''.
So, the answer will be option A. [tex](-11, -9)[/tex].
ONE MORE well maybe 3 more LOLLL ok can u answer this dont look it up pls!!!!!!!!!! :/ thank you sm
Answer:
Hey there!
Your answer would be 1/3 (12) hours.
Since it can fill 1/12 of the tank in 1/3 hour, then in 12 1/3 hr's, the tank would be filled.
Hope this helps :)
Answer:
1/3 * 12
4 hours
Step-by-step explanation:
We can use ratios to solve
1/12 tank 1 tank
---------------- = ----------------
1/3 hour x hours
Using cross products
1/12 x = 1/3 *1
Multiply each side by 12
12 * 1/12 x = 1/3 * 12
x = 4
4 hours
The probability that my bus is late on any day is 0.2. The probability that it rains tomorrow is 0.4. If the weather and the bus are independent, what is the probability that it rains AND my bus is late?
Answer:
0.08
Step-by-step explanation:
The probability that the bus is late on any day is 0.2
The probability that it rains tomorrow is 0.4
The probability that it will rain tomorrow and the bus is late is the product of both individuals probabilities.
Therefore:
P(late & rains) = 0.2 * 0.4 = 0.08
Answer:
The probability that it rains and the bus is late is 1/7
Step-by-step explanation:
Practically, we can apply the Bayes’ theorem to solve this.
Mathematically, we use the Bayes’ problem as follows;
P( rain| late) = P(rain ^ late)/P(late) = P( late|rain) • P(rain)/[P(late|rain)P(rain) + P(not late|no rain)P(no rain)]
Where P(no rain) = 1-P(rain) = 1-0.4 = 0.6
P(on time) = 1-P(late) = 1-0.2 = 0.8
Kindly recall that P of raining = 0.4 and the probability that the bus is late is 0.2
Substituting these values into the Bayes’ equation above, we have;
P( rain| late) = (0.2)(0.4)/(0.2)(0.4) + (0.8)(0.6)
= 0.08/(0.08 + 0.48) = 0.08/0.56 = 1/7
Which set represents the range of the function shown? {(−1, 5), (2, 8), (5, 3), (13, −4)}
Answer:
the range are all the value of y :{5,8,3,-4}
Step-by-step explanation:
the range are all the value of y :{5,8,3,-4}
Answer:
{−4, 3, 5, 8}
Step-by-step explanation:
i just took the test
please answer this question!!!! In the graphic above, ΔRQS ≅ ΔTUS by: SSS. AAA. SSA. None of these choices are correct.
Answer:
ssa
Step-by-step explanation:
Answer: SSA
SSA typically applies when there are two triangles
Five submarines sink on the same day, and all five go down at the same spot where a sixth had previously sunk. How might they all lie at rest so that each submarine touches the other five? To simplify, arrange six wooden matches so that each match touches every other match. No bending or breaking allowed.
Answer:
picture is attached
Step-by-step explanation:
there are many options but this is one
what number must you add to complete the square? x^2-7
Answer:
12.25
Step-by-step explanation:
To find the c value in the equation, we need to divide b by two and then square it.
b= -7 and -7/2 is 3.5
Then we square 3.5 and we get 12.25
Answer:
(x+0)^2-7
Step-by-step explanation:
x^2-7 to complete the square use the formula (b/2)^2 in order to create a new term.
ax^2+bx+c in this case b=0
(x+0)^2-7
hope it works
Wendy's mother recorded how many donuts she has eaten over the past few months. Jelly-filled donuts 6 maple donuts 53 glazed donuts 11 powdered sugar donuts 5 What is the experimental probability that the next donut Wendy eats will be a powdered sugar donut? Write your answer as a fraction or whole number. P(powdered sugar donut) =
Answer:
[tex]P(\text{Powdered sugar donut})=\dfrac{1}{15}[/tex] .
Step-by-step explanation:
It is given that Wendy's mother recorded how many donuts she has eaten over the past few months.
Jelly-filled donuts = 6
Maple donuts = 53
Glazed donuts = 11
Powdered sugar donuts = 5
Now,
Total number of donuts = 6 + 53 + 11 + 5 = 75
We need to find the experimental probability that the next donut Wendy eats will be a powdered sugar donut.
[tex]P(\text{Powdered sugar donut})=\dfrac{\text{Powdered sugar donuts}}{\text{Total number of donuts}}[/tex]
[tex]P(\text{Powdered sugar donut})=\dfrac{5}{75}[/tex]
[tex]P(\text{Powdered sugar donut})=\dfrac{1}{15}[/tex]
Therefore, [tex]P(\text{Powdered sugar donut})=\dfrac{1}{15}[/tex].
The points (0, –1) and (4, 5) lie on the straight line L.
Find an equation of the line which is parallel to L and passes through the point (–2, 0).
Answer:
y = 3/2x + 3.
Step-by-step explanation:
With these two points, we can find the equation of line L.
y = mx + b
Slope: (5 --1) / (4 - 0) = 5 + 1 / 4 = 6 // 4 = 3/2
Intercept: [stated by the first pair of coordinates] (0, -1)
y = 3/2x - 1
Since the line is parallel to L, the slope is the same as line L.
y = 3/2x + b
The line passes through (-2, 0), so we can substitute the points into the equation and solve for b.
0 = 3/2 * -2 + b
b - 3 = 0
b = 3
So, the equation of the line which is parallel to L and passes through the point (-2, 0), is y = 3/2x + 3.
Hope this helps!
Which pair of triangles can be proven congruent by AAS theorem?
I think the answer is D.
Which solid has a greater volume?
A. Figure A has a greater volume.
75
B. Figure B has a greater volume.
C. They are equal.
D. It cannot be determined.
SUBMIT
Answer:
C
Step-by-step explanation:
A = [tex]\pi[/tex]r^2 h/3
A= 235.62
B = [tex]\pi[/tex]r^2 h
B = 235.62
They are equal
Combine like terms -5.55-8.55c+4.35c
Write the answer bottom
Answer:
B - 13 and 15
Step-by-step explanation:
MARK AS YK... Pweeeez
Answer:
B
Step-by-step explanation:
To solve this, we just need to keep in mind the following:
Vertical angles are always congruent.
Vertical angles are formed by a pair of intersecting lines. The angles across from each other are what we call vertical angles.
So, to find the congruent pair of angles, we just need to find a pair of vertical angles.
In the options given, the only option with a pair of vertical angles would be <13 and <15.
There are a few options that would be congruent if the line segments were parallel, but that is not a given.
The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 2 and x = 5. (10 points) Graph of 2 to the power of x plus 1