Answer:
363.22
Step-by-step explanation:
Method 1:
You could find the whole figure surface area than divided by 1/2
Method 2: (the one I'm going to personally be doing)
Break the figure into two rectangular figures
Formula for surface area of rectangular prism:
A = 2(width x length + height x length + height x width)
Figure 1:
A = 2(width x length + height x length + height x width)
height = 3.8 yd
length = 10.1 yd
width = 4.3 yd
A = 2((4.3) x (10.1) + (3.8) x (10.1) + (3.8) x (4.3))
A = 2(98.15)
A = 196.3
Figure 2:
A = 2(width x length + height x length + height x width)
height = 8.4 yd
length = 10.1 yd
width = 2 yd
A = 2((2) x (10.1) + (8.4) x (10.1) + (8.4) x (2))
A = 2(121.84)
A = 243.68
There is overlapping surface area that shouldnt be include so we need to subtract it...
For one face of figure 1
3.8 x 10.1 = 38.38
Total:
Figure 1 + Figure 2 - 2(one face)
196.3 - 38.38 = 157.92
243.68 - 38.38 = 205.3
205.3 + 157.92 = 363.22
In the following diagram, BC is parallel to DE.
What is the measure of Zx?
Angles are not necessarily drawn to scale.
W
103°
B
D
4x =
F
42°
H
E
Answer: 35
Step-by-step explanation:
Angles in a triangle add to 180 degrees, so in triangle ABC, [tex]m\angle C=180-103-42=35^{\circ}[/tex].
Sp, by the corresponding angles theorem, x=35
Solve for h.
6h= 7h + 5
H= ?
Answer:
h = -5
Step-by-step explanation:
1) Subtract 7th from both sides
6h = 7h + 5
6h - 7h= 7h + 5 - 7h
2) Simplify
- Combine like terms
6h - 7h = 7h + 5 - 7h
-h = 7h + 5 - 7h
- Combine like terms
-h = 7h + 5 - 7h
-h = 5
3) Divide both sides by the same factor
-h = 5
-h/-1 = 5/-1
4) Simplify
Cancel terms that are in both the numerator and denominator
h/-1 = 5/-1
h = 5/-1
Divide the numbers
h = 5/-1
h = -5
Answer:
The answer is H=-5
Step-by-step explanation:
Can somebody please help me with this?
Answer:
The slope of the line is:
[tex]-\frac{3}{4}[/tex]
Slope of a parallel line is the same:
[tex]-\frac{3}{4}[/tex]
Slope of a perpendicular line, invert the sign and fraction:
[tex]\frac{4}{3}[/tex]
Hope this helps
Can someone please help me!!
Multiplication is the process of multiplying. Jay lost 30 pounds in a period of 6 months.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
A.) The newly recorded temperature in January will be six times the temperature in February, therefore, we can write,
January = 6 × February = 6×(-3°F) = -18°F
Hence, the newly recorded temperature in January will be equal to -18°F.
B.) Change in water level on each day of the drought was equal to -4 inches, while the drought lasted for 1 week(7days), Thus, the net change in water level can be written as,
net change = 7 × -4 = -28inches
Hence, the net change in the water level during the drought was equal to -28 inches.
C.) Jay went on a diet for six months and lost 5 pounds each month, therefore, the net change in the weight will be equal to,
Net Change = 6 × 5 = 30 pounds
Hence, Jay lost 30 pounds in a period of 6 months.
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The population of a town is growing exponentially and can be modeled by the
equation f(t) = 42. e(0.015). The population is measured in thousands, and time is
measured in years 1950.
C. According to this model approximately what is the population in 1960?
The population of the town in 1960 is 48.80 thousands
How to determine the population in 1950?The equation of the model is given as:
f(t) = 42e^(0.015t)
1960 is 10 years after 1950.
This means that:
t = 10
Substitute t = 10 in f(t) = 42e^(0.015t)
f(10) = 42e^(0.015 * 10)
Evaluate
f(10) = 48.80
Hence, the population of the town in 1960 is 48.80 thousands
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Solve number 8 please
Answer:
see explanation
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k )² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² - 8x + 8y + 23 = 0
collect the x and y terms together and subtract 23 from both sides
x² - 8x + y² + 8y = - 23
using the method of completing the square
add ( half the coefficient of the x / y terms )² to both sides
x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16
(x - 4)² + (y + 4)² = 9 ← in standard form
with centre = (4, - 4 ) and r = [tex]\sqrt{9}[/tex] = 3
this is shown in graph b
What is the degree measure of ∠COA?
The degree measure of angle COA = 128 degree.
What is Angle Sum Property?It is defined by the property that the sum of the interior angles of a triangle is equal to 180 degrees.
To determine the value of angle COA ,
we have to draw a line connecting CA ,
as OC and OA are the radius of the circle and therefore the sides of the triangle formed will be equal and also the angle made by them ,
angle OAC = angle OCA
Therefore angle DCA = angle DAC
By angle sum property
2x + 52 = 180
2x = 128
x = 64 degree
angle DCO = 90 degree
Therefore angle ACO = 90-64 = 26 degree
Similarly, angle CAO = 26 degree
By angle sum property
26+26+x = 180
52+x = 180
x = 128 degree
The degree measure of angle COA = 128 degree.
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Presently, Victor is three times as old as Maria. Ten years ago, Victor was seven times as old as Maria. How old is each person now?
Step-by-step explanation:
v = Victor's age
m = Maria's age
v = 3m
v - 10 = 7(m - 10)
3m - 10 = 7m - 70
60 = 4m
m = 15
v = 3m = 3×15 = 45
Victor is 45 years old. Maria is 15 years old.
i need help pleaseee
Answer: $7448
Step-by-step explanation:
Year 1: 1.218x
Year 2: 1.218(1.218x)
Year 3: 1.218(1.218(1.218x))
Year 4: 1.218(1.218(1.218(1.218x)))
Year 5: 1.218(1.218(1.218(1.218(1.218x))))
Year 6: 1.218(1.218(1.218(1.218(1.218(1.218x)))))
Year 7: 1.218(1.218(1.218(1.218(1.218(1.218(1.218x))))))
Year 8: 1.218(1.218(1.218(1.218(1.218(1.218(1.218(1.218x)))))))
Year 9: 1.218(1.218(1.218(1.218(1.218(1.218(1.218(1.218(1.218x))))))))
Year 10: 1.218(1.218(1.218(1.218(1.218(1.218(1.218(1.218(1.218(1.218x)))))))))
Year 11: x(1.218¹¹)
Year 12: x(1.218¹²) = 79,400
x(10.6602517) = 79,400
x = 79,400/10.6602517
x=7448.22939
x = $7448
Hope this helps!
Please help it’s easy, State the property that is used. 10=10•1
The property identity of multiplication is applied in the given statement.
Properties of MultiplicationThe properties of multiplication are:
Distributive: a(b±c)= ab±acComutative: a . b = b. aAssociative: a(b+c)= c(a+b)Identity: b.1=bFrom the property identity, you know that the product between any number by the number 1 equals that number. Example: 3 • 1=3.
The question shows 10=10•1. Like, it was shown previously, this occurs due to the identity property of multiplication.
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2. Given 4x² + bx + 25, select a possible b value that will make this factorable. [A] b=-50 [B] b = -29 [C] b = 10 [D] b= 100
Answer:
b = 40 and -40
General form of Perfect square trinomial is
a
2
+
2
a
b
+
b
2
Therefore from
16
x
2
−
b
x
+
25
a
2
=
√
16
x
2
,
b
2
=
25
, then
a
=
±
4
x
,
b
=
±
5
take consideration a=4x and b=-5 (different sign), then
−
b
x
=
2
(
4
x
)
(
−
5
)
−
b
x
=
−
40
x
b
=
40
The perfect square is
(
4
x
−
5
)
2
=
16
x
2
−
40
x
+
25
.
if we consider a=4x and b=5 (same sign), then
−
b
x
=
2
(
4
x
)
(
5
)
−
b
x
=
40
x
b
=
−
40
The perfect square is
(
4
x
+
5
)
2
=
16
x
2
+
40
x
+
25
.
The first solution
(
4
x
−
5
)
2
is the best solution after comparing the expression given.
Marcia needs a packing box with a volume of at least 180 cubic inches.
Part A
Is the box the correct size? Explain.
Question 2
Part B
Shipping costs $0.15 per cubic inch. How much will Marcia pay to ship the box?
Answer:
Part A: Yes
Part B: $30
Step-by-step explanation:
Some information is missing, but I did see a similar problem that shows a box shaped like a rectangular prism with length 5 in., width 4 in., and height 10 in.
Part A.
volume = length × width × height
volume = 5 in. × 4 in. × 10 in.
volume = 200 in.³
Since the volume has to be at least 180 in.³, then a volume of 200 in.³ will be ok since 200 is greater than 180.
Answer: Yes
Part B.
$0.15/in.³ × 200 in.³ = $30
Answer: $30
Are any of the sides perpendicular? Is the triangle a right triangle? Yes, AB and Bc are perpendicular
What is the measure of angle c in the parallelogram shown
Answer:
35°
Step-by-step explanation:
Same-Side interior angles (consecutive angles) are supplementary.
Supplementary meaning that those two angles add up to make 180°.
So Angles C is 35°
A coin is tossed 3 times. what is the probability of getting:
Answer correctly please
The probability of all heads, all tails, exactly two tails, exactly one head will be 1/8, 1/8, 3/8, and 3/8 respectively.
The complete question is given below.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
Then the total number of the event will be
Total event = 2³
Total event = 8 {HHH, HHT, HTH, THH, HTT, THT, HHT, TTT}
Then the probability of all heads will be
⇒ 1/8
Then the probability of all tails will be
⇒ 1/8
Then the probability of exactly two tails will be
⇒ 3/8
Then the probability of exactly one head will be
⇒ 3/8
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what is the full answer to pie
Answer:
[tex]\pi[/tex]= 3.1415926...= c/d
Step-by-step explanation
Pie is infinite so there is no simple answer.
circumference divided by the diameter = pie
Whoever answers first will get brainliest answer!
mrs. mank is decorating a 4-foot by 9-foot bulletin board in her classroom. if she decides to put a purple border around the entire board, what is the length of border that she needs?
Answer:
36 feet
Step-by-step explanation:
To find the area of a square or rectangle you multiply the width by the length.
Write 320 g as a fraction of 2 kg. Give your answer in its simplest form.
Answer:
4/25
Step-by-step explanation:
Let's make the units the same :
2 kg = 2000 g
Now lets simplify this fraction :
Divide top and bottom by 2 until you can't :
320/2000 = 160/1000
160/1000 = 80/500
80/500 = 40/250
40/250 = 20/125
Now we divide top and bottom by 5 as 2 is not a factor of 125 :
20/125 = 4/25
This is our final answer
Hope this helped and brainliest please
Choose the best selection for the
quadrilateral with vertices at the
following points:
(4,0), (8,0), (4,-4), (8,-4)
Hint: Start by graphing the points.
Distance Formula: d= √(x2-x1)² + (y2-y1)²
A. Rectangle
B. Square
C. Rhombus
D. Trapezoid
Answer:
B. Square
Step-by-step explanation:
Finding the side lengths :
Side 1
⇒ d₁ = √(-4 - 0)² + (8 - 8)²
⇒ d₁ = √16
⇒ d₁ = 4
=============================================================
Side 2
⇒ d₂ = √(-4 + 4)² + (8 - 4)²
⇒ d₂ = √16
⇒ d₂ = 4
===========================================================
Side 3
⇒ d₃ = √(-4 - 0)² + (4 - 4)²
⇒ d₃ = √16
⇒ d₃ = 4
============================================================
Side 4
⇒ d₄ = √(0 - 0)² + (8 - 4)²
⇒ d₄ = √16
⇒ d₄ = 4
As all sides of the figure are equal, and it creates 4 right angles, it is a square.
A triathlon requires participant to complete the following tasks:
Task 1: Swim 750 m
Task 2: Cycle 20 km
Task 3: Run 5 km
Mr Lee swam at 10 km/h, cycled at 85 km/h and ran at 14 km/h during the triathlon. Find the total time taken by him to complete the triathlon, leaving your answer in minutes and the nearest second.
Answer:
Step-by-step explanation:
Time taken for task 1:
Distance= 750m= 0.75 km
Speed= 10 km/hr
Time taken1= S (distance)/ V (speed)= 0.75/10= 0.075 hr= 4 mins and 30 sec
Time taken for task 2:
t2=S/V= 20/85= 0.24 hr= 14 mins and 24 sec
Time taken for task 3:
t3= S/V = 5/14= 0.36 hr= 21 mins and 36 sec
Total time took:
T1 +T2+T3= 40 mins and 30 second (approximately)
ANSWER ASAP PLEASE! 14 POINTS
Answer:
the first one
Step-by-step explanation:
the formul is y=mx+b
m is slope which is -3/2
b is y intercept and it is -3
and the addition sign will change based on if the y intercept is negative or not
Hope this helps
What is the value of x?
) The gym teacher divided a class into four teams with 7 students per team. How many students are in the class?
Answer:
28 students
Step-by-step explanation:
7 times 4 = 28
there are are seven students in 4 teams, so that means there are 4 groups of seven, and you multiply them together to get how many students in the class
Answer:
28
Keyword(s):
divided, four, 7, per team, how many
Step-by-step explanation:
7 × 4 = 28
Solvex - 5+ 7 = 15.
A. x = 13 and x = -3
-13 and x = 3
C. x = -13 and x = -3
OD. x = 13 and x = -13
OB. x =
Answer:
A. X= 13 and X= -3
Step-by-step explanation:
subtract 7 from both sides, simplify, break down the problems into 2 equations, solve equations, and boom once solve both equations you get 2 solutions.
The solutions to the equation are x = 13 and x = -3.
Therefore, the correct option is A.
Given is an expression |x-5| + 7 = 15, we need to solve for x,
To solve the equation |x - 5| + 7 = 15 for x, we'll need to isolate the absolute value expression and then solve for x.
Here's the step-by-step process:
Step 1: Subtract 7 from both sides of the equation:
|x - 5| = 15 - 7
|x - 5| = 8
Step 2: Break the equation into two cases, one with the positive value inside the absolute value and one with the negative value inside the absolute value.
Case 1: x - 5 is positive:
For this case, the equation |x - 5| = 8 becomes:
x - 5 = 8
Now, solve for x:
x = 8 + 5
x = 13
Case 2: x - 5 is negative:
For this case, the equation |x - 5| = 8 becomes:
-(x - 5) = 8
Simplify and solve for x:
-x + 5 = 8
-x = 8 - 5
-x = 3
Multiply both sides by -1 to isolate x:
x = -3
So, the solutions to the equation are x = 13 and x = -3.
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The sum of 3 times a number and 7 is equal to 5. (translate into an equation)
Answer:
let n be the number then the sum of this number and 7 is n +7 and 3 times this sum is 3(n +7) 5 times the number less thirteen is 5n − 13
Step-by-step explanation:
An angel measures 122 degree more than the measures of supplementary angle. what is the measure of each angle.
Answer:
302 degrees
Step-by-step explanation:
The first steps in determining the perimeter of triangle ABC are shown.
To the nearest whole unit, what is the perimeter of triangle ABC?
6 units
8 units
14 units
16 units
Answer:
C) 14 Units
Step-by-step explanation:
E2020
Ronald compared the rate at which water is used from two different water storage tanks by measuring the volume of the water remaining. The results are shown in the table
The statement that best describes the results is in tank 1, the rate at which water is used is higher.
What is the rate for each tank?Tank 1:
Total of water used/ time177.12/4 = 44.28 gallons per hourTank 2:
160/ 4 = 40 gallons per hourWhat are the results?The rate in tank 1 is higher than the rate in tank 2.
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given that x = 7.4 m and θ = 32°, work out bc rounded to 3 sf.
(not drawn to scale)
Answer:
BC ≈ 11.8 m
Step-by-step explanation:
using the tangent ratio in the right triangle
tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{x}{BC}[/tex] , that is
tan32° = [tex]\frac{7.4}{BC}[/tex] ( multiply both sides by BC )
BC × tan32° = 7.4 ( divide both sides by tan32° )
BC = [tex]\frac{7.4}{tan32}[/tex] ≈ 11.8 m ( to 3 sf )
There are 9 red and 6 green marbles in a bag. A child reaches in the bag and randomly takes one marble. What is the probability
of that child getting a green marble?
A .66
B.40
с .33
D .10
Answer:
THE OPTIONS ARE WRONGStep-by-step explanation:
N(S)=9 + 6 = 15N(R) = 9N(G) = 6P(G) = N(G)/N(S) = 6/ 15 = 0.4___________________________DONE successful