Answer:
4
Step-by-step explanation:
The function h defined by h(t)=(49 + 4.9t)(10 - t) models the height, in meters, of an object t seconds after it is dropped from a helicopter.
Find or approximate the time when the object hits the ground. Explain your method.
The approximate time when the object hits the ground will be 10 seconds.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is given below.
h(t) = (49 + 4.9t)(10 - t)
The time when the object hits the ground is calculated as,
h(t) =
(49 + 4.9t)(10 - t) = 0
If (49 + 4.9t) = 0, then the value of 't' is given as,
49 + 4.9t = 0
t = - 10
The value of time is an absolute value. Thus, this can be neglected.
If (10 - t) = 0, then the value of 't' is given as,
10 - t = 0
t = 10 seconds
The approximate time when the object hits the ground will be 10 seconds.
More about the function link is given below.
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You roll a standard six sided number cube. What is the probability of rolling a prime number or a number greater than 4?
Square ABCD has an area of 1600. E is the midpoint of AC and F is the midpoint of AB.
What is the area of the trapezoid BCEF?
O 300 square units
O 1,200 square units
600 square units
O 109 square units
A chef got 9 bags of onions. The red onions came in bags of 6 and the yellow onions came in bags of 7. If the chef got a total of 59 onions, how many bags of each type of onion did he get?
Answer:
yellow = 5 bags
red = 4 bags
Step-by-step explanation:
two equations can be derived from the question
x + y = 9 equation 1
6x + 7y = 59 equation 2
where x = number of red onion bags
y = number of yellow onion bags
Multiply equation 1 by 6
6x + 6y = 54 equation 3
subtract equation 3 from 2
y = 5
substitute for y in equation 1
x + 5 = 9
x = 9 - 5
x = 4
Geometry geometry help
Answer:
b = 7.14cm
Step-by-step explanation:
For this question, we need to use the pythagorean theorem, since it is a right triangle, and we know two sides. The formula for the Pythagorean theorem is c^2 = a^2 + b^2.
1. a = 5.8cm so a^2 will be 5.8 x 5.8 which is 33.64
2. c = 9.2cm so c^2 will be 9.2 x 9.2 which is 84.64
3. If we add these to our Pythagorean equation, it will be 84.64 = 33.64 + b^2. --> 51 = b^2 --> b = 7.141428....
4. Since we need to round it to two decimal places, b will be 7.14.
Based on the information marked in the diagram triangle PQR and triangle STU must be congruent
Hi, it would be a load of help if someone could explain the working for this question.
Three bricklayers Maric, Hugh and Ethan are cladding a new home. If Maric were to work alone, the job would take him 8 days to complete. If Hugh were to work alone, the job would take him 6 days to complete, and if Ethan were to work by himself, the job would take him 12 days to complete.a If the three men work together, how long will it take them to complete the job
Step-by-step explanation:
the work will be finished in 26 daysplease mark the answer as the brainliest
✨PLEASE HELP ASAP!!!✨
What is the solution to the system of equations?
Answer:
x=4, y=-2
Step-by-step explanation:
Answer:
x = 4
y = - 2
Step-by-step explanation:
3x + 8y = - 4
2x - 4y = 16 Multiply the second equation by 2 and add it to the 1st
3x + 8y = - 4
4x - 8y = 32 Add
7x = 28 Divide by 7
7x/7 = 28/7
x = 4
2x - 4y = 16 Substitute 4 for x
2*4 - 4y = 16 Combine
8 - 4y = 16 Subtract 8 from both sides
-4y = 16 - 8
-4y = 8 Divide by -4
y = 8/-4
y = - 2
Mr. Rankin took his family out to dinner last night and their subtotal was $88.24. The sales tax was 5%, and he left a 20% tip. If Mr. Rankin puts $120 on the table, how much change did he recieve?
Answer:
8.82
Step-by-step explanation:
subtotal- 88.24
total- 92.65
total with tip-111.18
change- 8.82
Find an equation of the circle whose diameter has endpoints (6,4) and (2,-6)
Answer:
[tex](x-4)^2+(y+1)^2=29[/tex]
Step-by-step explanation:
We want to find a circle whose diameter has the endpoints (6, 4) and (2, -6).
Since this is the diameter, its midpoint will be the center of the circle. Find the midpoint:
[tex]\displaystyle M=\left(\frac{6+2}{2}, \frac{4+(-6)}2}\right)=(4, -1)[/tex]
So, the center of our circle is (4, -1).
Next, to find the radius, we can find the length of the diameter and divide it by half.
Using the distance formula, find the length of the diameter:
[tex]\begin{aligned} d&=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ &=\sqrt{(2-6)^2+(-6-4)^2}\\\\&=\sqrt{(4)^2+(-10)^2}\\\\&=\sqrt{116}\\\\&=2\sqrt{29}\end{aligned}[/tex]
So, the radius will be:
[tex]\displaystyle r=\frac{1}{2}d=\frac{1}{2}\left(2\sqrt{29}\right)=\sqrt{29}[/tex]
The equation for a circle is given by:
[tex]\displaystyle (x-h)^2+(y-k)^2=r^2[/tex]
Substitute:
[tex](x-4)^2+(y+1)^2=29[/tex]
What is the quotient?
-4/5 divided by 2
Answer:
-0.4
fraction form: -4/10 or -2/5
hi so the problem is a recipe calls for a total of 3 2/3 cups of flour and sugar. If the recipe calls for 1/4 cup of sugar, how much flour is needed
1. 3 1/12
2. 3 1/4
3. 5/12
4. 3 11/12
Answer:
3 5/12 cups of flour are needed
Step-by-step explanation:
The flour-sugar total is 3 2/3 cups, of which 1/4 cup is sugar. So, to find the amount of flour used, we subtract 1/4 cup (sugar) from the total (3 2/3 cups):
11 1
----- - ---- where 11/3 is the improper fraction form of 3 2/3
3 4
The LCD is 12. Rewriting this subtraction using the LCD, we get:
44 3
---- - ----- = 41/12 (cups) = 3 5/12 cups
12 12
3 5/12 cups of flour are needed
2 |m - n²| + k³ (if k = -2, m = -7, and n = 4)
(Those aren't 1s, they're the absolute value thingies)
Answer:
Step-by-step explanation:
Hope this helps u !!
There are 12 inches in 1 foot. This is equivalent to 60 inches in 5 feet. Which proportions can be used to represent this? Check all that apply.
Answer:
Step-by-step explanation:
12 inches 60 inches
---------------- is equivalent to ------------------
1 foot 5 feet
This can be seen if we multiply both numerator and denominator of the first ratio by 5 (each).
120 inches
------------------ is another equivalent fraction (or ratio).
10 feet
Answer:B and C
Step-by-step explanation:
12/1 = 60/5
1/12 = 5/60
I need to know the area in square centimeters of sector ABC?
Answer:
75π / 2
Step-by-step explanation:
a = (∅ / 2π) * πr²
a = (3π/4 / 2π) * π(100)
a = (3/8) * 100π
a = 300/8 * π
a = 75/2 * π
a = 75π / 2
+
(10x+2)
→
(9X+18) find the value of x
16
Step-by-step explanation:
10x+2=9x+18
-2 -2
10x=9x+16
-9x -9x
x=16
Hope this helps! :)
Answer:
x = 16°
Step-by-step explanation:
(10x + 2)° = (9x + 18)°
10x + 2 = 9x + 18
10x + 2 - 2 = 9x + 18 - 2
10x = 9x + 16
10x - 9x = 9x - 9x + 16
x = 16°
The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) using a point and the slope. Which point did Harold use?
(7, 3)
(0, 7)
(7, 0)
(3, 7)
Answer:
The point is (7,0).
Step-by-step explanation:
The equation of a linear function in point-slope form is as follows :
[tex]y-y_1=m(x-x_1)[/tex] ...(1)
Where
(x₁,y₁) are the coordinates of the point which the line passes through it and (x,y).
Harold correctly wrote the equation y= 3(x–7)
or we can write it as :
y-0=3(x-7) ...(2)
Comparing equations (1) and (2), we get :
x₁ = 7 and y₁ = 0
So, the point is (7,0).
The correct option is (c).
Answer:
C
Step-by-step explanation:
edge
Given right triangle ABC, what is the value of tan(A)?
The value of angle tanA in a right-angle triangle is 12/5. The correct option is C.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that the three sides of the right-angled triangle are AB = 26, BC = 24, and AC = 10.
The value of angle tanA will be calculated as:-
tanA = P / B
tanA = 24 / 10
tanA = 12 / 5
Hence, the value of angle tanA in a right-angle triangle is 12/5. The correct option is C.
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Help Me Please?????????????
Answer
Step-by-step explanation:
8^-5/8^-2
=8^5-(-2)
=8^5+2
=8^7
=2097152
Note in division if the base the base are same then u can subtract their exponent but in multiplication bases are same u should add their exponent.
8. It is the measure of the space inside the solid figure.
b. surface area
C. circumference
d. volume
a. area
Answer:
the answer will be volume
please mark the answer as the brainlliest one
Carroll bikes 1 kilometer east, 4 kilometers north, and then 5 kilometers east again. How far is Carroll from her starting position?
Answer:
10.5 km
Step-by-step explanation:
this can be solved using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
1² + 4² =
1 + 16 = 17
√17 = 4.123km
4² + 5²
16 + 25 = 41
√41 = 6.40 KM
total distance = 6.4 + 4.12 = 10.52
Help me please, i need this answer I don't know what it is.
A quarter back completes 23% of his passes. We want to observe this quarterback during one game to see how many pass attempts he makes before completing one pass. What is the probability that the quarterback throws exactly 6 incomplete passes before he has a completion
Answer:
[tex]Pr = 0.0479[/tex]
Step-by-step explanation:
Given
[tex]p =23\%[/tex] --- proportion of completed passes
Required
The probability that he has 6 incomplete before he has 1 completion
Let:
[tex]q \to[/tex] proportion of back passes not completed
Using complement rule:
[tex]q = 1 - p[/tex]
[tex]q = 1 - 23\%[/tex]
[tex]q = 1 - 0.23[/tex]
[tex]q = 0.77[/tex]
The event that he has 6 incomplete passes before he completed one is:
q q q q q q p
And the probability is:
[tex]Pr = q * q * q * q * q * q * p[/tex]
[tex]Pr = q^6* p[/tex]
[tex]Pr = 0.77^6* 0.23[/tex]
[tex]Pr = 0.0479[/tex]
Click on the number line below to show the approximate location of 19 on the number line.
Answer:
Between 4 and 5
Step-by-step explanation:
The closest square numbers are 16 and 25, so it’s in between 4 and 5
Find x. Round your answer to the nearest tenth of a degree.
16
х
12
Answer:
1.3
Step-by-step explanation:
tan(x) =16/12
=4/3
=1.33
=1.3
x=tan-1(1.3)
=52.4
What is the congruence correspondence, if any, that will prove the given triangles congruent?
Answer:
Step-by-step explanation:
In ΔFYG & ΔBUH
∠F = ∠B
FY = BU
YG = UH
ΔFYG ≅ ΔBUH { Angle Side Side congruent}
3x-6y=24 y=Mx+b form
AHHHHH HELP IT'S TIMED!!!!!!!
I'LL MARK BRAINLIEST SO PLEASE HELP!!!!!!
What is the midpoint of the line segment graphed below?
A. (4,7/2)
B. (8,7/2)
c. (4,3/2)
D (8, 3/2)
Answer:
a) (4,7/2)
Step-by-step explanation:
Midpoint Formula:
[(-1+9)/2], [(2+5)/2]
(8/2, 7/2) = (4, 7/2)
The drama club is selling tickets to their annual talent show. They sold adult tickets (a) for $12.50 each and student tickets (s) for $6. They sold a total of 30 tickets and made $264.50.
Which system of equations best represents the situation above?
Answer:
12.5a + 6s = 264.5 and a + s = 30
Step-by-step explanation:
They also intersect at (17, 13)
(17 student tickets, 13 adult tickets)
Good Luck!