Answer: [tex]1706.67 feet[/tex]
Step-by-step explanation:
Formula: Volume = [tex]\frac{1}{3} \alpha^{2}h[/tex]
a is the length of the base's edge and h is the height. Since 16 is the length we would square it as it is the length, then we would multiply it by the height which is 20 ft.
Steps: Multiply
Volume = [tex]\frac{1}{3} \alpha^{2}h[/tex]
= [tex]\frac{1}{3} * 16^{2} * 20[/tex]
= [tex]1706.67 feet[/tex]
~I hope I helped you :)~
3. a) The dimensions of your game cover are 20 cm x 15 cm. However, you need to have a strip of
constant width around the border for labeling purposes (game console type, etc). This width will
take up 32% of your game cover's total space. What is the width of the border? Make sure to
state any values that don't make sense.
20cm×15 cm =300
32
/100 = 0.32
9514 1404 393
Answer:
1.5 cm
Step-by-step explanation:
All areas are in cm^2. For a width w, the border will have an area equal to the product of its centerline length and its width:
border area = 2((20-w) +(15-w))·w = w(70 -4w)
This area is 32% of the total cover area, so is ...
0.32(20)(15) = 96
Equating these expressions for the area gives ...
96 = 70w -4w^2
w^2 -17.5w = -24 . . . . . divide by -4
w^2 -17.5w +8.75^2 = -24 +8.75^2 . . . . . complete the square
(w -8.75)^2 = 52.5625 . . . . simplify
w -8.75 = ±√52.5625 = ±7.25
A border width only makes sense if it is between 0 and 7.5 cm, so the appropriate value for w is ...
w = 8.75 ± 7.25 . . . . . . . . . add 8.75
w = 8.75 -7.25 = 1.50 . . . . . the solution w=16 makes no sense
The border width is 1.5 cm.
PLS HELPPPPP
This is due today....
Answer:
its B becuase the exspresion of it is the hours of the 16 like 8 16 like that
Step-by-step explanation:
1/5 ( 15 + 10k ) = please help and make sure your answer is accurate.
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 3100 seats. The students left 1395 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer: 55% of the seats in the theater were filled by the 6th graders on the trip.
Step-by-step explanation:
Given: Total seats = 3100
Seats vacant= 1395
Seats occupied by 6th graders = 3100-1395 = 1705
The percentage of the seats in the theater were filled by the 6th graders on the trip = [tex]\dfrac{\text{Seats occupied by 6th graders}}{\text{Total seats}}\times100[/tex]
[tex]=\dfrac{1705}{3100}\times100\\\\= 55\%[/tex]
Hence, 55% of the seats in the theater were filled by the 6th graders on the trip.
If a = 3, what is the value of 2a^2
Answer:
18
Step-by-step explanation:
2(3)^2
2(9)
18
Answer:
The answer is 18.
Step-by-step explanation:
2a²
2(3)²
2(9)
18
Say the fraction in decimal form. 1/10
Answer:
0.1
Step-by-step explanation:
Please mark me brainleist
plz helppp
Analyze the diagram below and complete the instructions that follow. Find the value of x and the value of y
A. x=15, y= 10 √3
B. x=20, y= 10 √3
C. x=20 √3, y= 5 √3
D. x=15, y= 5 √3
Answer:
Use the SOH CAH TOA
Step-by-step explanation:
Angle = 60°
x = opposite o
y = adjacent a
10√ 3 = hypotenuse h
To find x we use SOH {sineø = o/h}
Sin 60° = x/10√ 3
x=10√ 3 * sin 60
X=15
You can use Pythagoras theorem or CAH{cosø = a/h}
Cos 60°= y/10√ 3
y=Cos 60° * 10√ 3
y=5√ 3
what is "The temperature outside at 6 a.m. is 4 degrees celsius. The temperature rising by 1.5 degrees celsius every hour." in a mathematical equation!! please help
Answer:
7 a.m is 5.5
Step-by-step explanation:
(6=4)+1.5=(_+1.5)
make a T chart
thats how it should work for you
Identify the transformation, and its congruence transformation?
Answer:
Reflection
Step-by-step explanation:
You only flip the triangle it doesn't rotate or slide so its Reflection
PLEASE HELP IT IS EASY!!!!!!!!!!!!!! I HAVE AN EXAM!!!!!!!!!!!!!!! A student took 75 minutes to answer a combination of 30 multiple-choice and extended-response questions. She took 2 minutes to answer each multiple-choice question and 5 minutes to answer each extended-response question.
Determine which two equations best represent the situation given that R represents the number of extended-response questions and M represents the number of multiple-choice questions.
Determine the number for each type of question on the test.
Answer:
M+R=30
2M+5R=75
R=5
M=25
Step-by-step explanation:
-2(M+R=30)
2M+5R=75
-2M-2R=-60
2M+5R=75
__________
3R=15
R=5
2M+5(5)=75
2M+25=75
2M=50
M=25
Please help me with this i can't think Please and thank you
Answer:
hot ❤
Step-by-step explanation:
People at the state fair were surveyed about which type of lemonade they preferred. The results are shown below:
Pink Lemonade: 156 males, 72 females
Yellow Lemonade: 104 males, 48 females
Answer
Step-by-step explanation:
You would require the table with the number of males and females who prefer either pink or yellow lemonade at the state fair.
Pink Lemonade Yellow Lemonade TOTAL
Male 156 104 260
Female 72 48 120
TOTAL 228 152 380
P(pink lemonade | female) = 72 / (48 + 72) = 72 / 120 = 0.6
P(pink lemonade) = (156 + 72) / (156 + 72 + 104 + 48) = 228 / 380 = 0.6
Therefore, The event "prefers pink lemonade" and "female" are independent because P(pink lemonade | female) = P(pink lemonade) = 0.6
Independents events are events that can happen independently on their own. Events A and B are independent if P(A|B) = P(A).
The "prefer pink" event and "female" event are independent because [tex]P(P|F) = P(P) = 0.6[/tex]
To do this, we make the following representations:
[tex]P \to[/tex] Pink Lemonade
[tex]Y \to[/tex] Yellow Lemonade
[tex]M \to[/tex] Male
[tex]F \to[/tex] Female
The "prefer pink" event and "female" event are independent if:
[tex]P(P|F) = P(P)[/tex]
[tex]P(P|F) \to[/tex] the probability that a selected person prefers pink provided that the person is female
[tex]P(P) \to[/tex] the probability that a selected person is female
P(P| F) is calculated as:
[tex]P(P| F) = \frac{n(P\ n\ F)}{n(F)}[/tex]
i.e. the number of females who prefers pink divided by the number of females
From the table, we have:
[tex]n(P\ n\ F) = 72[/tex]
[tex]n(F) = 72 + 48 =120[/tex]
So, the probability is:
[tex]P(P| F) = \frac{72}{120}[/tex]
[tex]P(P| F) = 0.6[/tex]
[tex]P(P)[/tex] is calculated as:
[tex]P(P) = \frac{n(P)}{Total}[/tex]
i.e. the all people who prefer pink divided by total number of people
From the table, we have:
[tex]n(P) = 156 + 72 = 228[/tex]
[tex]Total = 156 + 72 + 104 + 48 = 380[/tex]
So, the probability is:
[tex]P(P) = \frac{228}{380}[/tex]
[tex]P(P) = 0.6[/tex]
Recall that:
The "prefer pink" event and "female" event are independent if:
[tex]P(P|F) = P(P)[/tex]
And we have:
[tex]P(P| F) = 0.6[/tex]
[tex]P(P) = 0.6[/tex]
Hence, the events are independent because:
[tex]P(P|F) = P(P) = 0.6[/tex]
Option (a) is correct
Read more about independent events at:
https://brainly.com/question/12543071
PLEASE HELP ILL GIVE THE BRAINLEST FOR THE RIGHT ANSWER
graph y= -1/2-6
can someone help me with this one ?
Answer:
For the question 7 its congruent for 8 it's not congruent
Step-by-step explanation:
A blue print for a house has a scale of 1 in: 5feet The living room has a length of 25 inches and a width of 3 inches what is the actual area of the living room
Answer: 1875 square ft
Step-by-step explanation:
Ratio: 1 in: 5ft
Living room length: 25in=125ft
Living room width: 3in=15ft
125x15= [tex]1875^{2} ft\\[/tex]
solve for c: 2(c - 6) = 9c + 2
7.
After determining the number of T-shirts and caps to purchase, the senior
class officers forgot to include shipping costs. The fabric textile company
charges shipping and handling fees according to the number of T-shirts and
caps purchased
One of the class officers writes the function f(n) = 20n + 275, where n is the
number of T-shirts purchased, and f(n) is the amount of money available to
spend on caps.
Which description does 20 represent in the class officer's function? Select all
that apply.
A. the shipping cost
B. the cost per T-shirt
C. the rate of change in the graph
D. x-intercept
Ey-intercept
Answer:
B
Step-by-step explanation:
Please help as soon as possible! Thank you
Answer:
line PQ is congruent to like SR. reason: given
angle PQR is congruent to angle SRQ. reason: given
Line QR is congruent to line QR. reason: reflexive property of equality.
Triangles PQR and SQR are congruent by the SAS postulate
Step-by-step explanation:
1.25 × 109 + 3.50 × 109 + 3.25 × 109 =
Answer:
872 is the final answer
Step-by-step explanation:
Answer: The answer is 872
Step-by-step explanation:
Leon is using an area model to multiply 38×14. First, he makes a rectangle that is 38 units long and 14 units tall. Then, he breaks it into smaller parts using place value to make it easier to multiply. Use the drop-down menus to show the area of each part.
Answer:
300, 120, 80 and 32 respectively.
Step-by-step explanation:
To break it down for easy multiplication, write
38 as 30 + 8
14 as 10 + 4
Now let's multiply
(30 + 8)(10 + 4) = 300 + 120 + 80 + 32
So the areas of each part would be
300, 120, 80 and 32 respectively.
ASAP ASAP ASAP ASAP. PLS PLSPLS
Answer and ill mark brainlist!!
Answer:
the slope is 1
Step-by-step explanation:
are you smarter than a 7th grader get your answers by answering this question please please please please please
Answer:
F
Step-by-step explanation:
8 - (2-3) -1 = 8
6 - (-2) = 8
8-(2-3)-1=6-(-2)
A salesperson at a jewelry store earns 8% commission each week. Last week, Heidi sold $530 worth of jewelry. How much did she make in commission? How much did the jewelry store make from her sales?
Answer:
she made $42.40
the store made $487.60
Step-by-step explanation:
530 x .08
What's the value of x? 4 (x - 6) + 6 = 6x - 6
Answer:
x=-6
Step-by-step explanation:
Answer:
I got X = -6 hope I'm right
If the vertex of a parabola is (- 3, 4) and the parabola has a stretch of 3find the next two points on the parabola right the vertex
Answer:
Step-by-step explanation:
Need help asap please
5 x 2 = what pls
WHOEVER ANSWERS IT WILL GET BRAINIST ASAP DUE IN 5 MINUTES
Answer:
D
Step-by-step explanation:
What's the pattern 7,19,31,43
Evaluate the following numerical expression.
6 + 2^3 • 3 =
Answer:
30
Step-by-step explanation:
2^3=8
8x3=24
24+6=30
2 3 4 5 6 7 8 9 10
TIME REMAINING
41:13
The Bears have won 7 and tied 2 of their last 13 games. They have not forfeited any games. Which ratio correctly compares their wins to losses?
7:13
13:7
4:7
7:4
