Answer:
11.4
Step-by-step explanation:
By Pythagoras Theorem:
[tex]x^{2} = {7}^{2} + ( {4}^{2} + {8^{2}}) \\ \\ x^{2} = 49+(16 + 64)\\ \\ x^{2} = 49+80\\ \\ x^{2} = 129 \\ \\ x = \sqrt{129} \\ \\ x = 11.3578167 \\ \\ x = 11.4[/tex]
2. Which pair of angles is not congruent? F. ∠1 and ∠7 G. ∠3 and ∠5 H. ∠4 and ∠6 I. ∠2 and ∠5
Answer:
I) ∠2 and ∠5
Step-by-step explanation:
Which statement best describes the point (2,-5)
A.5 units to the left and 2 units up from the origin
B. 5 units to the right and 2 units up from the origin
C. 2 units from the left and 5 units down from the origin
D. 2 units to the right and 5 units down from the origin
HELPPPPPP!!!!!!!
What is the value of (52 - 10) = 5 x 23?
А
0
B
18
C
24
D 40
Answer:
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5,0 is not a solution to the system of linear inequalities.
This season, the probability that the Yankees will win a game is 0.56 and the probability that the Yankees will score 5 or more runs in a game is 0.61. The probability that the Yankees lose and score fewer than 5 runs is 0.32. What is the probability that the Yankees will lose when they score fewer than 5 runs? Round your answer to the nearest thousandth.
The probability that the Yankees will lose when they score fewer than 5 runs is 0.821 (nearest to the thousandth).
What is the chain rule in probability for two events?For two events A and B:
The chain rule states that the probability that A and B both occur is given by:
[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]
Lets suppose here that:
A = event that Yankees win a gameB = event that Yankees will score ≥ 5 in a gameSuppose A' and B' are their complementary events, then we have:
A' = event that Yankees will lose a gameB' = event that Yankees will score < 5 in gameThen, by the given data, we have:
[tex]P(A) = 0.56\\P(B) = 0.61\\P(A' \cap B') = 0.32[/tex]
We've to find [tex]P(A' | B')[/tex]
Using chain rule, we have:
[tex]P(A'|B') = \dfrac{P(A' \cap B')}{P(B')}[/tex]
Since P(B') = 1-P(B) = 100.61 = 0.39, therefore, we get:
[tex]P(A'|B') = \dfrac{P(A' \cap B')}{P(B')} = \dfrac{0.32}{0.39} \\\\P(A'|B') \approx 0.821[/tex]
Thus, the probability that the Yankees will lose when they score fewer than 5 runs is 0.821
Learn more about probability here:
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The measures of the angles of a triangle are shown in the figure below. Solve for x
Answer:
x=17
Step-by-step explanation:
4x+8+44+60=180
4x+112=180
4x=180-112
4x=68
x=68/4
x=17
DUE IN 3 mins
C-9 at C= 16
Answer:
7
Step-by-step explanation:
plug 16 in for c so it's 16 -9 = 7
Tara and Mallory are practicing their passing at a volleyball practice. Tara bumps the ball from a height of 3 feet above the ground with an initial upward velocity of 12 feet/second. at the same time, mallory serves the ball from a height of 3.25 feet above the ground with an initial upward velocity of 9 feet/second.
if x represents the number of seconds since each ball is passed and y represents the height of the ball, which system of equations models the projectile motion of the two balls? recall that the acceleration due to gravity is -32 feet/second
Answer:
The system of equation that models the projectile of the two balls is option;
C. y = -16·x² + 12·x + 3
y = -16·x² + 9·x + 3.25
Step-by-step explanation:
The general equation for vertical (upward) motion under gravity is presented as follows;
h - h₀ = u·t + 1/2·g·t²
Where;
h = The final height reached
h₀ = The initial height
u = The initial velocity
g = The acceleration due to gravity ≈ -32 feet/second
t = The time taken
We can rewrite the above equation with different letters for the variables as follows;
h = y,
h₀ = y₀, and
t = x
Therefore, we have;
y - y₀ = u·x - 1/2 × 32 × x²
y = u·x - 1/2 × 32 × x² + y₀ = u·x - 16· x² + y₀
y = u·x - 16· x² + y₀ = -16·x² + u·x + y₀
y = -16·x² + u·x + y₀
For Tara, we have;
u = 12 feet/second
y₀ = 3 feet
Therefore, we get;
y = -16·x² + 12·x + 3
For Mallory, we have;
u = 9 feet/second
y₀ = 3.25 feet
Therefore, we get;
y = -16·x² + 9·x + 3.25
The correct option is therefore;
y = -16·x² + 12·x + 3
y = -16·x² + 9·x + 3.25
20% of __ = 18 Please help me Thank you Sooo Much
Answer: 20% of 90 = 18
Answer:
90%
Step-by-step explanation:
i hope this helps:)
What are the values of the function y= 3x - 4 for x = 0,1,2, and 3?
A. -4, -1, 2, and 5
Need Help ASAP
Thanks so much in advance...
Answer:
I will post 4,5 and 6 separately.
Help me out thank youuuu sooo much !!!
Answer/Step-by-step explanation:
There are actually two methods that can be used to calculate AC (x):
1. Using Pythagorean Theorem
2. Using Trigonometric Function
1. Using Pythagorean Theorem, we have:
x = √(15² + 20²)
x = √625
x = 25 units
2. Using Trigonometric Function:
Reference angle = 37°
Adjacent = 20
Opposite = 15
Hypotenuse = x
Apply SOH:
Sin 37 = Opp/Hyp
Sin 37 = 15/x
x × Sin 37 = 15
x = 15/sin 37
x = 24.9246021 ≈ 25 units (nearest whole number)
PLS HELP! (THE QUESTION IS A PICTURE CLICK ON THE QUESTION FIRST)
Answer:
Step-by-step explanation:
B.28.1
Answer:
It's BBBBBBBBBBBBBBBBB
is travelling to another country.
He flies for 7 hours at an average speed of 990 km/h on one plane.
He then flies for 6 hours 15 minutes at an average speed of 920 km/h on a second plane.
What is the total distance, in km, he travelled by plane?
Answer:
First time=7hours
First speed=990km/hour
First distance=first time×first speedD=(
S×T)
D=990km/hr×7hrs
D=6930km.
Second time=6&14min.
Second speed=920km/hr
Second distance=second speed×second time (D=s×t)
D=920km/hr×6&14min.
D=1500
Total distance=6930+1500
=8430
Help me help me help me pls pls pls
Answer:
x = 121
Step-by-step explanation:
all angles sum = 540
87 + 92 + 105 + 135 = 419
540 - 419 = 121
Mast
Gabi tried to solve an equation step by step.
Skill
= 80
10
algeb
1
j
· 10 = 80 · 10 Step 1
10
ne-
j = 800
Step 2
Find Gabi's mistake.
ne-
Choose 1 answer:
cual
Answer:
the answer is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
A diver jumps off of a diving board and is modeled by the equation d(t)= -16t2 +8t + 30. How long will it take for her to reach the water?
Answer: (1/4,31)
Step-by-step explanation: Use the formula x = − b/2a a to find the maximum and minimum.
In circle P with m NPQ = 46 and NP=20 units find area of sector NPQ.
Round to the nearest hundredth.
i will give brainly
Answer:
Round to the nearest hundredth.
Answer:
160.57
Step-by-step explanation:
The formula is:
[tex]angle/360 *\pi *radius^2[/tex]
Because you find the total area of the circle, but the sector only represents NPQ/360 so you have to multiply the area with that.
[tex]46/360 * \pi *20^2[/tex] = [tex]23/180 * \pi *400[/tex]
= [tex]160.57029...[/tex]
Rounded to the nearest hundredth this would be 160.57
Help me pls this is urgent ;>
Answer:
[tex] \frac{ |a + x| }{2} - \frac{ |a - x| }{2} \\ \\ = \frac{ | - 2 - 6| }{2} - \frac{ | - 2 + 6| }{2} \\ \\ = \frac{ | - 8| }{2} - \frac{ |4| }{2} \\ \\ = \frac{8}{2} - \frac{4}{2} \\ \\ = 4 - 2 = 2[/tex]
Ryan made small
cherry pies with
a diameter of 2
in. What was the
area of one pie?
Answer:
area of one pie : πr² = π d²/4 = π× 2²/4 = π ≈ 3.14
Click on the pic and pls help!!
Answer:
x = 43.9
Step-by-step explanation:
sin 20° = 15/x
0.3420 = 15/x
x = 43.86
The volume of a suitcase if 8,556 cubic inches. It is 32 inches long and 15.5 inches high. What is width of the suitcase?
Answer:
17.25
Step-by-step explanation:
8556 / 32 / 15.5 = 17.25
I need the scale factor of this please, its due today:)
Answer: The scale factor is 3:1 because if you look at the T Point to T', it has a space of 3. Pardon for any mistakes. Good Luck!
Step-by-step explanation:
Please help!!!!!!!!!!
Answer:
557.8 square inches
each square is 5". the base is 4x4 squares- so 20 inches square. 20x20= 400sq inches.
the semicircle at the top is 20 inches in diameter, which makes the radius 10 inches.
pi× 10^2= 314.16.
duvide that by 2 to get a semicircle- 157.8
so, the total area is the 400+ 157.8, for a total area of 557.8 square inches
The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 4 cm/s. When the length is 15 cm and the width is 12 cm, how fast is the area of the rectangle increasing
Answer:
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
Step-by-step explanation:
Geometrically speaking, the area of a rectangle ([tex]A[/tex]), in square centimeters, is described by following expression:
[tex]A = w\cdot l[/tex] (1)
Where:
[tex]w[/tex] - Width, in centimeters.
[tex]h[/tex] - Height, in centimeters.
By Differential Calculus, we find an expression for the rate of change of the area of the rectangle ([tex]\dot A[/tex]), in square centimeters per second:
[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex] (2)
Where:
[tex]\dot w[/tex] - Rate of change of the width of the rectangle, in centimeters per second.
[tex]\dot l[/tex] - Rate of change of the length of the rectangle, in centimeters per second.
If we know that [tex]w = 12\,cm[/tex], [tex]l = 15\,cm[/tex], [tex]\dot w = 4\,\frac{cm}{s}[/tex] and [tex]\dot l = 9\,\frac{cm}{s}[/tex], then the rate of change of the area of the rectangle is:
[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex]
[tex]\dot A = 168\,\frac{cm^{2}}{s}[/tex]
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
Help please someone please
Answer:
i dont know im just doing this for the points
Giselle uses 2 ounces of pasta to make 2 over 3 of a serving of pasta. How many ounces of pasta are there per serving
Three friends were comparing how much money they each have saved. Sami has $41.79. Charlotte has $38.91. Celeste has $41.68. Which list shows the names in order from least amount saved to greatest?
Sami, Celeste, Charlotte
Charlotte, Celeste, Sami
Celeste, Sami, Charlotte
Charlotte, Sami, Celeste
Answer:
B
Step-by-step explanation:
i got it right
can someone please help me find the area of a regular pentagon of radius 4m? thank you :(
Answer:38.07
Step-by-step explanation:
If you don't have the apothem value, you will need more information to find the area accurately. The radius alone does not provide enough information to find the area of the regular pentagon.
To find the area of a regular pentagon with a given radius, we need to know the apothem (the distance from the center of the pentagon to the midpoint of one of its sides) in addition to the radius. However, you mentioned only the radius, and it is not sufficient to directly find the area.
If you have the apothem value, you can use the following formula to calculate the area of a regular pentagon:
Area = (5/4) * apothem * side length
To know more about area:
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Help rn ahhhh please
Answer:
117π or 367.56634047
Step-by-step explanation:
Volume = π × r² × h (r=radius and h=height)
Volume = π × 4² × 13
Volume = π × 9 × 13
Volume = π × 117
Volume = 117π