Answer:
240 m³
Step-by-step explanation:
volume = length × width × depth
240 m³ = 20 m × 1 m × 12 m
The area of the opening of a rectangular window is to be 120 square feet. If the length is to be 2 feet more than the width, what are the dimensions
Answer:
Width = 10ft
Length = 12ft
Step-by-step explanation:
For a rectangle of length L and width W, the area is calculated as:
A = L*W
In this case, we know that:
The area is 120 ft^2.
The length is 2 ft more than the width.
Then we can write:
L = W + 2ft.
If we use these two equations and replace them in the equation for the area of a rectangle, we get:
A = 120ft^2 = W*L = W*(W + 2ft)
120ft^2 = W*(W + 2ft)
Now we can solve this for W
120 ft^2 = W^2 + 2ft*W
Now we can rewrite this as:
W^2 + 2ft*W - 120ft^2 = 0
The solutions of this equation can be found by the Bhaskara's formula.
We know that for an equation of the form:
a*x^2 + b*x + c = 0
The two solutions are given by:
[tex]x = \frac{-b +\sqrt{b^2 - 4*a*c} }{2*a}[/tex]
in our case, we have:
a = 1
b = 2ft
c = -120ft^2
Then the solutions for the equation W^2 + 2ft*W - 120ft^2 = 0 are:
[tex]W = \frac{-2ft + -\sqrt{(2ft)^2 - 4*1*(-120ft^2)} }{2*1} = \frac{-2ft +- 22ft}{2}[/tex]
Then the two solutions are:
W = (-2ft - 22ft)/2 = -12ft (this is a negative measure, does not have a real meaning in this case, so this solution can be discarded)
The other solution is:
W = (-2ft + 22ft)/2 = 10ft (this is the correct solution)
Then the width is 10ft, and we know that the length is 2 ft longer than the width, then the length is:
L = W + 2ft = 10ft + 2ft = 12ft
A rectangular solid has a base that measures 12 feet by 16 feet, and a height of two feet. Its surface area is (blank)
square feet
Answer:
192 feet is your answer .
Step-by-step explanation:
12×16=192 feet base.
which are pairs of perpendicular lines?
Answer:
D
Step-by-step explanation:
The product of the slope of perpendicular lines = -1
y = (-1/4)x - 6 ; here slope = -1/4
y = 4x + 11 ; slope = 4
[tex]4 * \frac{-1}{4}=-1[/tex]
Write an equation in slope-intercept form of the line that passes through (-1,4) and (0,2).
Answer:
1,3
Step-by-step explanation:
Answer: y=-2x+2
Step-by-step explanation:
Find the slope of the two points:
m= (4-2)/(-1-0)=-2
The y int: (0,2) which is given
The slope int form is y=mx+b: y=-2x+2
Hector must find the sum of 50 + 83 + 50 by using mental math. Which property allows Hector to simplify the equation to 50 + 50 + 83 and find an equivalent sum?
associative property
commutative property
distributive property
identity property
Answer:
183 A
Step-by-step explanation:
Answer:
The associative property because it allows you to group together numbers to make it easy to add.
I hope this helps!
plsssss answer thisss!!! will mark brainliest!
Answer:
35
Step-by-step explanation:
35 is the answer, it cant be 15 due to red being 21 MORE
Pleaseeee i need help
Answer:
i think its b
Step-by-step explanation:
Expression for x = 6 and y = 17.
2x + (20 - y)
Answer:
The president is permitted to veto specific legislative acts, but Congress has ... and judicial appointments and on the approval for ratification of treaties. ... State shall have the Qualifications requisite for Electors of the most numerous Branch of the State Legislature. ... No Bill of Attainder or ex post facto Law shall be passed. Step-by-step explanation:
Answer:
2(6)+(20-(17))
Step-by-step explanation:
i think thats what you mean
which equation has the solution of x=4
Answer:
do you have a picture of the equations? then I can help you when you do
Which measurements could create more than one triangle?
A. A triangle with angles measuring 75°, 60°, and 45°
O B. A triangle with sides measuring 5 cm end 10 cm and an included
angle measuring 40°
C. A triangle with sides measuring 6 inches, 8 inches, and 10 inches
D. A triangle with sides measuring 4 inches, 8 inches, and 15 inches
Answer:
why yall got the question i use to have now this 2021 i won nun off this ughhh i think it is D
Step-by-step explanation:
Answer:
A. A triangle with angles measuring 75°, 60°, and 45°
Step-by-step explanation:
find the measure of each angle indicated.
Answer:
15 number answer is 35
16 number answer is 46
17 number answer is 40
Solve for n |2n|-4=8
translate the following words into an expression:
Three less than "x"
A. 3 - x
B. x - 3
C. -x - 3
D. -x + 3
On a map of the city, 2 inches represents 1 mile. Michelle is trying to plan out her trip from downtown to uptown. On the map, the distance is 16 inches. What is the actual distance that Michelle will travel from downtown to uptown?
Answer: 8 miles
Step-by-step explanation:
2 in=1 mile.
16 divided by 2 is 8
Duck #1 lays eggs whose weights are normally distributed with a mean of 70gramsand a standard deviation of 6 grams.Duck #2 lays eggs whose weights are also normally distributed with a mean of 65 grams and a standard deviation of 5 grams. If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?
Answer:
26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?
Duck #2 egg will weigh more if the subtraction of duck's 2 egg by duck's 1 egg is larger than 0.
When we subtract normal distributions, the mean is the subtraction of the means. So
[tex]\mu = 65 - 70 = -5[/tex]
The standard deviation is the square root of the sum of the variances. So
[tex]\sigma = \sqrt{6^2+5^2} = \sqrt{61} = 7.81[/tex]
Now, we have to find 1 subtracted by the pvalue of Z when X = 0. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - (-5)}{7.81}[/tex]
[tex]Z = 0.64[/tex]
[tex]Z = 0.64[/tex] has a pvalue of 0.7389
1 - 0.7389 = 0.2611
26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg
Evaluate the expression x2 + 5 for x = 3
Answer:
14
Step-by-step explanation:
give the other guy brainliest pls
A football player team gained 7 2/5 yards and then lost 1 3/5
Answer:
if you need an answer it's 5 4/5
3cm, b=3(m, calculate C
B
b. a. 7m, b: 8cm, calculate
-113
c
4. Trangle ABC haw AB = AC
BC = 10 and 2 BAC 90° calculate
the longth of side AB and Ac
to the neareut milimetre
90°
10
X
10
5
ow-90°
TO
OD Hub
cow-45 /
10
y = tans
0.5810
Answer:
The Answer is C
Step-by-step explanation:
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Julie has $10.00. She plans to buy 4 bagels and then buy pastries with the money she has left. According to the price list, what is the maximum number of pastries she can buy?
Answer:
picture please
Step-by-step explanation:
Sue walks 6 yards and passes 24 security lights set along the sidewalk. How many security lights does she pass in one yard?
Answer:
4 lights per a yard
Step-by-step explanation:
24 divided by 6 equals 4
Answer:
4 is the answer because 6 × 4 is 24.
Determine which, if any, of the given values is a solution.
8p − 16 = 40
p = 5; p = 7; p = 9
p = ?
Answer:
p – 7 = -12
The answer
P = 7
8p - 16 = 40
40 + 16 = 56
8p = 56
56 ÷ 8 = 7
How many minutes per lap does it take a runner who after 45 minutes
has run 9 laps?
Answer:
5 minutes per lap.
Step-by-step explanation:
45÷9=5
Find the missing numerical value in the box for which the equation 23(6x−12)=8+□(2x−4) 2 3 ( 6 x - 12 ) = 8 + □ ( 2 x - 4 ) has no solution.
Answer:
23
Step-by-step explanation:
Jordie wants to save $175 for a trip to an amusement park. He sets aside $14 of his allowance at the end of each week. How many weeks will it take him to save enough money for the whole trip?
How many weeks will it take jordie will it take to save money
right and correct answer gets 64 points.
Answer:
12.5 weeks <3
Step-by-step explanation:
8). There are five bags with 98 chocolate drops in each one. How many chocolate drops are there in total? Write the equation and give the solution.
Answer:
490
Step-by-step explanation:
98*5+490
Answer:
490
Step-by-Step Explanation:
the equation is 5 x 98 = 490.
Fran's snowmobile weighs 0.8 ton.
What is the weight of the snowmobile
in pounds?
Answer:
1,600
Step-by-step explanation:
Answer:
1600
Step-by-step explanation:
You are inviting people over for a pool party but your parents said that you can spend at most $100 on food and beverages for the party. If you've already spent $20 on the cake, and each person invited is going to cost you $5 worth of food, how many friends can you invite? Group of answer choices
Answer:
16
Step-by-step explanation:
100 is at the very limit, you've already spent 20 on the cake, now just count by fives to eighty and 16 x 5 = 80
Name two obtuse vertical angles.
Carlos biked 24 mi and ran 6 mi.
What is the ratio of the distance Carlos ran to the distance he biked?A ratio compares two values using which operation?
Answer:
4:1
Step-by-step explanation:
simplify the 24:6 by dividing both sides by 6
Using your own words, create a word problem around the given problem. Then solve it
65% of $300
Answer:
Philip got $300 from his relatives, he puts 65% of the money he got into the bank. How much money did Philip put in the bank? $195