Answer:
the answer should be D
Step-by-step explanation:
:)
What is the area of the composite figure? -70 cm2 -100 cm2 -105 cm2 -130 cm2
Make two shapes out of it.
The bottom is a rectangle 14 x 5 = 70 square cm
The top is a triangle 1/2 x 12 x 5 = 30 square cm
Total area = 70 + 30 = 100 square cm
Answer:
100 cm²
Step-by-step explanation:
The composite shape can be cut into two shapes. One triangle and one rectangle. The sum of their areas is the area of the whole composite shape.
The area of the triangle:
b × h × 1/2
(14 - 2) × 5 × 1/2
60 × 1/2
= 30 cm²
The area of the rectangle:
l × w
14 × 5
= 70 cm²
Add the areas of the two shapes.
30 cm² + 70 cm²
= 100 cm²
The area of the composite shape is 100 cm².
Anybody know this ? Please help :(
Answer:
D
Step-by-step explanation:
5.50. 5.50+0.25= 5.75, 5.75+0.25= 6.00, 6.00+0.25= 6.25, 6.25+0.25= 6.50
Option D is the answer:
5.50, 5.75, 6.00, 6.25, 6.50...
Can someone answer this question thanks
Answer:
80 = x
Step-by-step explanation:
The base angles are the same if the side lengths are the same
The unmarked angle is 50 degrees
The sum of the angles is a triangle is 180 degrees
180= 50+50+x
180 = 100 +x
180 -100 = 100+x-100
80 = x
Answer:
80°
Step-by-step explanation:
In an isosceles triangle, if the two sides are the same length, then the two angles formed on the base line are equal.
The other angle on the base line is also equal to 50°.
Angles in a triangle add up to 180°.
x° + 50° + 50° = 180°
x° + 100° = 180°
x° = 180° - 100°
x° = 80°
straight line graphs: find the equation of the lines shown
Answer:
1. y = -2n + 9
2. y = (1/2)x + 1/2
Step-by-step explanation:
1.
The equation of a line is denoted by y = mx + b, where m is the slope and b is the y-intercept.
Slope is calculated by taking two coordinates and dividing the difference of the y-coordinates by the difference of the x-coordinates. The y-intercept is where the line intersects the y-axis.
Let's choose any two points on the line: (4, 1) and (3, 3). Then:
slope = m = (3 - 1) / (3 - 4) = 2 / (-1) = -2
Now, we can also see that at the point (0, 9), the line intersects the y-axis, so that means b = 9.
The equation is thus y = -2n + 9.
2.
Let's again choose any two points to find the slope: (1, 1) and (3, 2). Then:
slope = m = (2 - 1) / (3 - 1) = 1/2
We can see that the line crosses the y-axis at the point (0, 1/2), so that means b = 1/2.
The equation is thus y = (1/2)x + 1/2.
~ an aesthetics lover
Answer:
1. y = -2x + 9
2. y = (1/2)x + 1/2
Step-by-step explanation:
There was a mistake on the last one so I would like to correct it it is
y= -2x+9
The other one said -2n its -2x
Brainliest will be given i need answer ASAP please.
Simplify 84,375/325 to its lowest multiple Example 16/4 = 4/1
Answer:
3375/13
Step-by-step explanation:
it's found though this equation [tex]\frac{84375/25}{325/25}[/tex]
Answer:
[tex]3375/13[/tex]
Step-by-step explanation:
[tex]84,375/325[/tex]
Divide the numerator and denominator by 25.
[tex]3375/13[/tex]
[tex]=259.615385[/tex]
Is the following statement true or false? The intersection of a plane and a ray can be a line segment.
Answer:
False
Step-by-step explanation:
Is the following statement true or false?
The intersection of a plane and a ray can be a line segment.
It is false. Correct one is the point.how big is New York city
Answer:Land area: 302.6 mi²
Population: 8.399 million
Step-by-step explanation:
New York City can be described as very big and it has actually been ranked as the 24th biggest city in the United States in terms of land area it ...
Answer:
Land area: 783.8 km²
Population: 8.399 million
Step-by-step explanation:
What shape best describes the cross section cut at an angle to the base of a right rectangular prism? Trapezoid Parallelogram Square Rectangle
Answer:
Rectangle.
Step-by-step explanation:
The 2 dimensional section would be a rectangle.
Answer:
rectangle
Step-by-step explanation:
How do you write this quadratic equation using substitution
Answer:
u^2 +7u -8=0 where u = 3x+2
Step-by-step explanation:
(3x+2)^2 + 7(3x+2) - 8=0
Let 3x+2 = u
u^2 +7u -8=0
th
Write an explicit formula for An, the nth
term of the sequence 15, 23, 31, ....
Answer:
a₁ = 15 and common difference = 8 so the formula is:
aₙ = 15 + (n - 1) * 8
= 8n + 7
apply the distributive property to factor out the greatest common factor for 9+12n I need an expression too
Answer:
3(3+4n)
Step-by-step explanation:
Examine the box and whisker plot below. Identify the third quartile of the data set.
a. 14
b. 23
c. 15
d. 19.5
Answer:
b
Step-by-step explanation:
The third quartile is the upper quartile whose value is the value on the right side of the box, that is
third quartile = 23 → b
Answer: B 23
Step-by-step explanation:
The third quartile comes after the median.
What is the value of the power a if 5^a = 1/125
Answer:
a = -3
Step-by-step explanation:
5^a = 1/125
The fraction 1/125 can be written as a power with base 5.
5^a = 5^(-3)
Cancel the same bases on both sides.
a = -3
Answer:
a = -3.
Step-by-step explanation:
5^a = 1/125
1/125 = 1 / 5^3
= 5^-3
5^a = 5^-3
so a = -3.
Can someone please help me with this geometry question
Answer:
A. q = 39
Step-by-step explanation:
Since the lines are parallel, their sides will be proportional,
So,
Taking their proportion
=> [tex]\frac{60}{40} = \frac{q}{26}[/tex]
Cross Multiplying
q × 40 = 26 × 60
q = [tex]\frac{1560}{40}[/tex]
q = 39
A water balloon is tossed vertically from a window at an initial height (s-sub zero) of 37 feet and with an initial velocity(v-subzero) of 41 feet per second. Answer the following using the fact that h(t)=-16T^2+v-sub zer0t+s sub zero. a) Determine a formula, h)t), for the function that models the height of the water balloon at time t . b)Plot the function in Desmos in an appropriate window. Use the graph to estimate the time the water balloon lands c)Use algebra to find the exact time the water balloon lands. Show your work. No decimals in your answer. d)Determine the exact time the water balloon reaches its highest point and its height at that time. e)4 pts] Compute the average rate of change of on the intervals . Include units on your answers and write a sentence to explain the meaning of the values you found. Arc{1.5,2}____________________________. Explanation: Arc{2,2.5}____________________________. Explanation: årc{2.5,3}____________________________. Explanation:
Answer:
a) h(t) = -16t^2 +41t +37
b) see attached (3.270 seconds)
c) (41+√4049)/32 seconds
d) 1.28125 seconds; 63.265625 feet
e) [1.5, 2]: -15; [2, 2.5]: -31; [2.5, 3]: -47
Step-by-step explanation:
a) The formula and initial values are given. Putting those values into the formula, we get ...
h(t) = -16t^2 +41t +37
__
b) The graph is attached. It shows the t-intercept to be about 3.270 seconds.
__
c) Using the quadratic formula, we can find the landing time as ...
[tex]t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-41\pm\sqrt{41^2-4(-16)(37)}}{2(-16)}\\\\=\dfrac{41\pm\sqrt{4049}}{32}\qquad\text{only $t>0$ is useful}[/tex]
The exact landing time is (41+√4049)/32 seconds.
__
d) The highest point is at t=-b/(2a) = -41/(2(-16)) = 41/32 seconds.
The value of the function at that point is ...
h(41/32) = (-16(41/32) +41)(41/32) +37 = 41^2/64 +37 = 4049/64
The maximum height is 4049/64 = 63.265625 feet.
__
e) For a quadratic function, that average rate of change on an interval is the derivative at the midpoint of the interval. Here, the derivative is ...
h'(t) = -32t +41 . . . in feet per second
Then the average rates of change are ...
arc[1.5, 2] = h'(1.75) = -32·1.75 +41 = -15 ft/s
arc[2, 2.5] = h'(2.25) = -32(2.25) +41 = -31 ft/s
arc[2.5, 3] = h'(2.75) = -32(2.75) +41 = -47 ft/s
These are the average velocity of the water balloon over the given interval(s) in ft/s. Negative indicates downward.
Answer:
(a) h(t) = -16t² + 41t + 37
(b) About 3.3 s
[tex]\large \boxed{\text{(c) }\dfrac{41+ \sqrt{4049}}{32}\text{ s}}[/tex]
(d) -15 ft/s; -31 ft/s; -47 ft/s
Step-by-step explanation:
(a) The function
h(t) = -16t² + v₀t + s₀
v₀ = 41 ft·s⁻¹
s₀ = 37 ft
The function is
h(t) = -16t² + 41t + 37
(b) The graph
See Fig. 1.
It looks like the water balloon lands after about 3.3 s.
(c) Time of landing
h = -16t² + 41t + 37
a = -16; b = 41; c = 37
We can use the quadratic formula to solve the equation:
[tex]h = \dfrac{-b\pm\sqrt{b^2 - 4ac}}{2a} = \dfrac{-b\pm\sqrt{D}}{2a}[/tex]
(i) Evaluate the discriminant D
D = b² - 4ac = 41² - 4(-16) × 37 = 1681 + 2368 = 4049
(ii) Solve for t
[tex]\begin{array}{rcl}h& = & \dfrac{-b\pm\sqrt{D}}{2a}\\\\ & = & \dfrac{-41\pm\sqrt{4049}}{2(-16)}\\\\ & = & \dfrac{41\pm\sqrt{4049}}{32}\\\\t = \dfrac{41- \sqrt{4049}}{32}&\qquad& t = \dfrac{41+ \sqrt{4049}}{32}\\\\\end{array}\\[/tex]
[tex]\text{The water balloon will land after $\large \boxed{\mathbf{\dfrac{41+ \sqrt{4049}}{32}}\textbf{ s}} $}[/tex]
(d) Time and maximum height
(i) Time
The axis of symmetry (time of maximum height) is at t = -b/(2a)
[tex]t = \dfrac{-41}{2(-16)} = \dfrac{41}{32} = \textbf{1.281 s}[/tex]
(ii) Maximum height
The vertex is at y = h(1.281) = h(t) = -16(1.281)² + 41(1.281) + 37 = 63.27 ft
(e) Average rate of change
(i) Arc{1.5,2}
h(1.5) = 62.5
h(2) = 55
m = (h₂ - h₁)/(t₂ - t₁) = (55 - 62.5)/(2 - 1.5) = -7.5/0.5 = -15 ft/s
The water balloon has started to fall after it has reached peak height, so it is not going very fast
(ii) Arc{2,2.5}
h(2.5) =39.5
m = (39.5 - 55)/(2 - 1.5) = -15.5/0.5 = -31 ft/s
The balloon is in mid-fall, so gravity has caused it to speed up.
(iii) Arc{2.5,3}
h(3) = 16
m = (16 - 39.5)/(2 - 1.5) = -23.5/0.5 = -47 ft/s
The balloon is about to hit the ground, so it is falling at almost its maximum velocity.
Fig. 2 shows the height of the balloon at the above times.
The volume of the cylinder is 230 cubic units. What is the volume of the
cone? Round to the nearest enth if necessary.
Answer:
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder
h represents the height of the cylinder
π is a constant
The formula for determining the volume of a cone is expressed as
Volume = 1/3πr²h
Where
r represents the radius of the cone
h represents the height of the cone
This means that the volume of the cone is 1/3 × volume of cylinder. Since the volume of the given cylinder is 230 cubic units, then
Volume of cone = 1/3 × 230 = 76.7 cubic units
What is the domain of g(x)?
Answer:
-2 ≤x≤5
Step-by-step explanation:
The domain is the inputs
The lowest value of x is -2 and every value of x is valid up to 5
-2 ≤x≤5
What is the units digit of $7^7$ when expressed as an integer?
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Just stick it into a calculator lol
Ashley and Beth drove from city A to city B in exactly 5 hours, not taking rest stops. Ashley drove up to the area located halfway between the two cities at the average speed of 40 miles per hour and then Beth drove the other half at an average speed of 60 miles per hour. How many hours did Beth drive on their trip?
Answer:
2 hours
Step-by-step explanation:
Time= 5 hrs
Ashley's speed= 40 mph
Beth's speed= 60 mph
Beth's time in travel= x
Since they drove the same distance, we have this equation:
60x=40(5-x)60x=200-40x100x=200x=200/100x=2 hoursGiven that ABCD is a rhombus, find the value of x.
Answer:
C
Step-by-step explanation:
The diagonals of a rhombus are perpendicular bisectors of each other.
Thus the angle at the intersection of the diagonals is 90°
The sum of the 3 angles in a triangle = 180°
Sum the angles in the lower triangle and equate to 180, that is
90 + x + x + 40 = 180
2x + 130 = 180 ( subtract 130 from both sides )
2x = 50 ( divide both sides by 2 )
x = 25 → C
The value of x is 25.
What are some of the properties of a rhombus?
All four sides are equal.Diagonals bisect each other at 90°.Given
ABCD is a rhombus,
∠CAD = x°,
∠BDA = (x + 40)°.
Find the equation in x
Let the point where the diagonals intersect be E.
Then, using the property of the rhombus ∠AED = 90°.
We know, in a triangle that the sum of all the three interior angles equals 180°. So, we get,
∠AED + ∠BDA + ∠CAD = 180°
⇒ ∠BDA + ∠CAD = 180° - ∠AED
= 180° - 90° = 90° (∠AED = 90°)
Put the given values of these angles,
(x + 40)° + x° = 90°.
This is the equation to be solved to obtain x.
Solve for x
(x + 40)° + x° = 90°
⇒ (2x)° = 90° - 40° = 50°
⇒ x° = (50 / 2)°
⇒ x = 25.
The required value of x is 25.
Learn more about the properties of a rhombus here
https://brainly.com/question/12189679
#SPJ2
Important!!!
That is the distance between (-5, 4) and (-1, 4)?
-5 units
-4 units
4 units
5 units
Answer:
4 units
Step-by-step explanation:
Since the y value is the same, we only have to look at the x value
-1 - -5
-1 +5
4
The distance is 4 units
Answer:
4 units
Step-by-step explanation:
if you graph these 2 points, they'll be on the same line of the graph separated by 4 units
Solve x^4 -3x^2 +2=0 using substitution. U=
Answer:
U = x^2
hope this helped!
Answer:
x^2
Step-by-step explanation:
The person above me is spitting mad facts and da TRUTH and also UNUS ANNUS
Brandee makes an hourly wage. In the last pay period, she earned $800 for regular hours and $240 for overtime hours. Her overtime rate of pay is 50% more than her regular rate of pay "r". Write and simplify an expression in terms of "r" that represents the number of hours "h" Brandee worked in the pay period. Show your work.
Step-by-step explanation:
Overtime rate= r+50%= 1.5r
Regular hours= 800/r
Overtime hours= 240/1.5r
Total hours worked
h=800/r+240/1.5rh= 800/r+160/rh=960/rr=960/hSolve the equation 4x2 – 27x – 5 = –10x to the nearest tenth.
Which of the following equations is the translation 2 units up of the graph of y = |x|?
A. y = |x| - 2
B. y = |x| + 2
C. y = |x + 2|
D. y= |x - 2|
Answer:
its y = |x| + 2
Step-by-step explanation:
A card is drawn at random from a standard pack of playing cards. Then a fair coin is flipped. What is the probability of selecting an Ace and the coin landing on tails?
Answer:
1/26
Step-by-step explanation:
In a standard pack of cards, there are 52 total cards and 4 aces, two black aces and two red aces.
The probability of selecting an ace is therefore:
4/52 = 1/13
The probability of flipping a coin and it landing on tails is:
1/2
Therefore, the probability of selecting an Ace and the coin landing on tails is:
1/13 * 1/2 = 1/26
What is the answer in these boxes
Answer:
I found that the answer is (5,1)
Step-by-step explanation:
4 times x(5) is 20
3 times y(1) is 3
20 + 3 = 23
bottom equation:
x(5) -- 5y(1) = 0
can someone help me please? thanks!
Answer:
V = 11/21
Step-by-step explanation:
Formula: V = 4/3πr³
Simply plug in r to find volume
V = 4/3π(1/2)³
V = 0.52381
And we have our answer!
When planning road development, the road commission
estimates the future population using the function
represented in the table, where x is the time in years and
f(x) is the total population.
What is the significance of 160,000 in the function?
the maximum population of the city
the expected population in 5 years
the initial population at the time of the estimation
the amount of increase in the population in years
Answer:
C
Step-by-step explanation:
Got 100% on edge.
Please answer asap thanks
Answer:
V = 200 pi units ^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
V = 1/3 pi ( 10 ^2) (6)
V = 1/3 pi (100) *6
V = 200 pi