1. John is building a miniature model of a building on campus. The dimensions of
the building are 95 ft x 80 ft x 30 ft. The model is 1/10th the dimensions of the
building. Sketch the model, then find the volume of the model.
Answer:
228 ft^2
Step-by-step explanation:
1/10 of the given dimensions are 9.5 ft by 8 ft by 3 ft.
The volume of the model is thus (9.5 ft)(8 ft)(3 ft) = 228 ft^2
Aball is thrown downward from a window in a tall building. Its position at time tin seconds is s = 16t ^ 2 + 32t , where s is in feet. How long to the nearest will the ball to fall 276 ?
Answer:
3secondsStep-by-step explanation:
If a ball thrown downward from a window in a tall building is modeled by the equation, s = 16t² + 32t where s in feet, in order to know the time it will take to fall a distance of 276, we will substitute s = 276feet into the equation and calculate for the value of t as shown;
276 = 16t² + 32t
16t² + 32t = 276
Dividing through by 4
4t² + 8t = 69
4t² + 8t - 69 = 0
Using the general formula to find t
t = -b±√b²-4ac/2a
a = 4, b = 8 and c = -69
t = -8±√8²-4(4)(-69)/2(4)
t = -8±√64+1104/8
t = -8±√1168/8
t = -8±34.176/8
t = -8+34.176/8 or -8-34.176/8
t = 3.272 or -5.272
neglecting the negative time, t = 3secs to the nearest seconds
It will take the all 3secs to fall 276 feets
Please help: 3x+10=-5. What is x?
Answer:
-5
Step-by-step explanation:
-6x+2y=-18. -3x-2y=54
Answer:
x = -4
y = -21
Step-by-step explanation:
To solve this, we will need to set up a system of equations and get rid of a variable.
-3x - 2y = 54
-6x + 2y = -18
From this, we can see that the 'y' variables can be cancelled out if we add the two together. This means that we must add these equations to each other to cancel out the 'y' variables:
-3x - 2y = 54
-6x + 2y = -18
-------------------- +
-9x = 36
x = -4
Since we have solved for 'x', we can simply plug this value into an equation to find 'y'.
-3(-4) -2y = 54
12 - 2y = 54
-2y = 42
y = -21.
what is an equation of a line that is perpendicular to the line whos equation is
2y+3x=1
[tex]\text{First, simplify the equation into slope intercept form:}\\\\2y+3x=1\\\\2y=-3x+1\\\\\text{Divide by 2}\\\\y=-\frac{3}{2}x+1\\\\\text{Now, the perpendicular line is the opposite of the slope, and the opposite}\\\text{value}\\\\\text{Since our original equation is negative, the perpendicular lien will be positive}\\\\\text{And then you would just flip the fraction}\\\\\text{Your perpendicular line should be:}\\\\\boxed{y=\frac{2}{3}x+1}[/tex]
Calculate the radius of the circular rug. Use 3.14 for π.
area of rug: 153.86 feet
Answer:
7 ft
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
153.86 = 3.14 r^2
Divide each side by 3.14
153.86 / 3.14 = r^2
49 = r^2
Take the square root of each side
sqrt(49) = sqrt(r^2)
7 = r
An empty cup in the shape of a cylinder (pictured below) is being filled with water.
7
cm
7 cm
3
cm
3 cm
The cup is filled at a constant rate. The table below shows the amount of water in the cup at specific times.
Number of seconds Amount of water
(
cm
3
)
(cm
3
)left parenthesis, start text, c, m, end text, cubed, right parenthesis
0
00
0
00
3
33
75
7575
6
66
150
150150
Find the percent of the cup that is filled with water after
7
77 seconds.
Use
3.14
3.143, point, 14 for
π
πpi and round your final answer to the nearest percent.
%
Answer:
The answer is 88%
After 7 seconds the cup is about 88% filled with water.
PLEASEEE HELP ME WITH THIS QUESTION!!!!!!! ASAP PLEASE ANSWER IT CORRECTLY AND NO GUESSING!!!!!!
Which of the following is true about Debit Cards?
A= When you use a Debit Card you pay the bill at the end of the month with interest.
B= Debit cards withdraw money from your bank account
C= Debit cards are a way for you to borrow money.
Answer:
the answer
is b
i hope that helps
How do i find the area i dont understand the formula
Answer:
The answer is A (97.5)
Step-by-step explanation:
Formula Using the Diagonals
That means the two diagonals form two sides of a square that is twice the size of the rhombus. You can find the area in square units of the rhombus by multiplying the lengths of the two diagonals (d1 and d2 ) and dividing by two.
(13)(15) /2 = 195 /2
(Decimal: 97.5)
Please mark brainliest!
What is the correct solution to the equation 2x+7 = 19 a) x = 6 b) x = 13 c) x = 12 d) x = 2.5
Answer:
a
Step-by-step explanation:
2x +7= 19
2x= 19 -7 (-7 on both sides)
2x= 12 (simplify)
x= 12 ÷2
x= 6
Answer:
a
Step-by-step explanation:
Given
2x + 7 = 19 ( subtract 7 from both sides )
2x = 12 ( divide both sides by 2 )
x = 6
Prove that the diagonals of kite UVWX are
perpendicular
Step 1: Determine the slope of XV.
The slope of XV is
Step 2. Determine the slope of UW
The slope of UW is
Step 3. The slopes of the diagonals are
The diagonals of kite UVWX are
Answer:
The answer is the slope of XV is 1.
The slope of UW is -1
The slopes of the diagonals are negative reciprocals
The diagonals of kite UVWX are perpendicular
Step-by-step explanation:
Negative reciprocals in a kite create a perpendicular bisector. So the two lines share a midpoint so they are perpendicular.
One of the diagonal of a kite has a slope that is equal to the inverse
multiplied by (-1) of the other, therefore the diagonals are perpendicular
Reasons:
The proof that the diagonals of a kite are perpendicular is as follows;
The properties of a kite are;
The lengths of adjacent sides are equal
Therefore, taking the vertex at , U, as the origin, we have;
Coordinates of U = (0, 0)
Coordinates of V = (-a, b)
Coordinates of W = (0, c)
Coordinates of X = (a, b)
Step 1:
[tex]\displaystyle The \ slope \ of \ XV = \mathbf{ \frac{b - b}{x - (-x)} }=0[/tex]
The slope of XV is 0; XV is a horizontal line.
Step 2:
[tex]\displaystyle The \ slope \ of \ UW = \mathbf{\frac{c - 0}{0 - 0}} =\infty[/tex]
The slope of UW is infinity; UW is a vertical line.
Step 3:
The slope of the diagonals are; m₁ = 0, and m₂ = ∞
The above values satisfy the equation, [tex]\displaystyle m_2 = \mathbf{-\frac{1}{m_1}}[/tex]
Therefore;
The diagonals of kite UVWX are perpendicularLearn more about the characteristics of a kite here:
https://brainly.com/question/8843373
In a box of crayons 2/5 the crayons are green and 1/6 of purple how much greater is the fraction of green crayons than that of purple A) 1/3 B)3/11 C)1/30 D)7/30
Answer: 7/30
Step-by-step explanation: 2/5-1/6= 7/30, if it helps pls mark me as brainliest
Which expression represents a rational number?
StartFraction 5 Over 9 EndFraction + StartRoot 18 EndRoot
Pi + StartRoot 16 EndRoot
StartFraction 2 Over 7 EndFraction + StartRoot 121 EndRoot
StartFraction 3 Over 10 EndFraction + StartRoot 11 EndRoot
Answer:
[tex]\frac{2}{7}+\sqrt{121}[/tex]
Step-by-step explanation:
Given: expressions
To find: expression that denotes a rational number
Solution:
A number of the form [tex]\frac{p}{q}[/tex] where p and q are integers and [tex]q\neq 0[/tex] is said to be a rational number.
Sum of a rational and irrational number is irrational.
In [tex]\frac{5}{9}+\sqrt{18}[/tex], [tex]\frac{5}{9}[/tex] is a rational number and [tex]\sqrt{18}[/tex] is an irrational number
So, [tex]\frac{5}{9}+\sqrt{18}[/tex] is not a rational number.
In [tex]\pi+\sqrt{16}=\pi+4[/tex], [tex]\pi[/tex] is an irrational number and 4 is a rational number
So, [tex]\pi+\sqrt{16}[/tex] is not a rational number.
In [tex]\frac{2}{7}+\sqrt{121}=\frac{2}{7}+11=\frac{2+77}{7}=\frac{79}{7}[/tex], [tex]\frac{79}{7}[/tex] is a rational number
So, [tex]\frac{2}{7}+\sqrt{121}[/tex] is a rational number
In [tex]\frac{3}{10}+\sqrt{11}[/tex], [tex]\frac{3}{10}[/tex] is a rational number and [tex]\sqrt{11}[/tex] is an irrational number
So, [tex]\frac{3}{10}+\sqrt{11}[/tex] is not a rational number.
Answer:
2 / 7 + 12
Step-by-step explanation:
he is right i just took the test i just wanna help more ..
help this is for special right triangles 30-60-90
Answer:
y = 10, x = 10sqrt3
Step-by-step explanation:
30-60-90 right triangles follow the ratio of x:xsqrt3:2x
In this case, 2x = 20, so y = x = 10, and x = xsqrt3 = 10sqrt3
If you are curious as to how to find these ratios, I suggest noticing that the 30-60-90 triangle is really just half of an equilateral triangle.
Answer:
x = 10sqrt(3) = 17.3
y = 10
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
The short leg is half the hypotenuse.
hypotenuse = 20
short leg = y = 20/2 = 10
The long leg is sqrt(3) times the short leg.
long leg = x = 10sqrt(3) = 17.3
Kai bought 6 new Pokemon cards to add to his collection. The next day, his dog ate half his collection! There are only 27 cards left now. How many cards did Dan start with?
Joe spent $48 on fruit at the grocery store. He spent a total of $50 at the store. What percentage of the total did he spend on fruit?
Answer:
96%
Step-by-step explanation:
Take the amount spent of fruit and divide by the total
48/50
Percent means out of 100 so multiply the top and bottom by 2
96/100
96%
Answer:
If Joe has a total of 50 dollars and uses only 48 dollars and you are trying find the percentage of how much he spent, all you need to do is take the amount of money he use dives it by how much money he had in the beginning. Then multiply the number by 100 to get the percentage.
48/50=.96
.96*100=96%
In total he spent 96% of his money.
what is the area of this quadrilateral 30 square feet 12 square feet 42 square feet 36 square feet
Answer:
Step-by-step explanation:
The rectangle in the middle has an area of 30 because it is a 3x10.
The triangles each have an area of 6 because they are a 3x4 and the forumla to find it is .5(bh) which is .5(12)=6. There are 2 of them so the total area of the triangles add up to 12.
Add the area and get 42. 30+12=42
Solve for f.
–7f − 9 = 9 − 4f
f =
Answer:
[tex] \boxed{f = -6} [/tex]
Step-by-step explanation:
[tex] = > - 7f - 9 = 9 - 4f \\ \\ = > - 7f + 4f - 9 = 9 \\ \\ = > - 3f = 9 + 9 \\ \\ = > - 3f = 18 \\ \\ = > 3f = - 18 \\ \\ = > f = - \frac{18}{3} \\ \\ = > f = - 6[/tex]
I just need help with it all I don't know really what to do
Answer:
Step-by-step explanation:
what is the smallest prime that is a factor of the sum 51+ 1?
Answer:
the smallest prime factor of 52 is 2
Step-by-step explanation:
What is the smallest prime that is a factor of 52?
52 = 4*13, or 52 = 2*2*13. So the smallest prime factor of 52 is 2.
Name and classify the basic geometric object each real life object represent using correct mathematical notation. a. The location of a city on a map b. The angle of a recliner c. Row of corn in a garden d. The angle of a lawn chair when laid all the way down e. An arrow f. The angle of a jet taking off at an airport g. The angle a flag pole sits with the ground
Answer:
a. A point
b. Obtuse angle
c. A line segment
d. 180 degrees
e. A ray
f. An acute angle
g. 90 degrees
Step-by-step explanation:
a. A point (a place on a plane that has no dimension)
b. Obtuse angle (any angle over 90 degrees)
c. A line segment (a part of a line)
d. 180 degrees (The angle of a line or line segment)
e. A ray (a line segment with one end extending forever)
f. An acute angle (Any angle under 90 degrees)
g. 90 degrees (the pole is perpendicular to the ground)
Jamila babysits to earn money. The mean amount she
earns each time she babysits is $24. If she babysits
nine evenings and earns the following amounts: $15,
$20, $10, $12, $20, $16, $18, and $25, how much did she
earn the ninth evening?
Answer:
$80Step-by-step explanation:
Give jamila's Mean earning = $24
let her ninth earning be x
we know that mean= (∑sumation of earnings)/number of earnings
[tex]24= \frac{15+20+ 10+ 12+ 20+ 16+ 18+ 25+x}{9}[/tex]
[tex]24= \frac{136+x}{9} \\24*9=136+x\\216=136+x\\x=136-216\\x=80[/tex]
Her ninth earning is $80
The slope of the line whose equation is 6x = 4y - 7 is 1. 4 2. 2/3 3. 3/2
Answer:
3/2
Step-by-step explanation:
Divide by 4 to get 6x/4 = 3x/2
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
[tex]4x^2 + 12x + 8[/tex]
Step-by-step explanation:
Area of rectangle
= height * width
[tex]=4(x^2 +3x +2)\\= 4x^2 + 12x + 8[/tex]
Answer:
add 2 and 4
Step-by-step explanation:
x²+3x+6
Given that M angle KLH equals 120° which statement about the figure must be true?
Answer:
m∠HLI = m∠ILM
Step-by-step explanation:
If 35 gms of pure drug are contained in 150 mls, how many grams are contained in 75 mls?
Answer:
17.5
Step-by-step explanation:
The ratio of "pure drug" to liquid is 35:150
Therefore to evaluate for 75 mls we get the ratio 75/2150 or simply 1/2
we can then multiply 35 by the ratio 1/2
35/2=17.5
State the answer
In 75 mls there are 17.5 grams of pure drug
The amount of the pure drug in 75 ml will be 17.5 grams.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
The ratio of the two proportional items will remain the same.
The amount of the drug is directly proportional to the contained liquid.
If 35 gms of the pure drug are contained in 150 ml.
Then the amount of the pure drug in 1 ml will be
⇒ 35 / 150
⇒ 0.2333 grams per ml
Then the amount of the pure drug in 75 ml will be
⇒ 0.2333 x 75
⇒ 17.5 grams
The amount of the pure drug in 75 ml will be 17.5 grams.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
Is the relation a function
Yes
No
Answer:
Yes
Step-by-step explanation:
As long as the input has an output it will always be a function.
Answer:
Yes
Step-by-step explanation:
Because there isn't a number in the input colum that is repeated like:
1
1
2
3
Instead each number is individual and they aren't repeated.
If they were repeated then it would NOT be a function.
Have a good day. :)
Hope this helps!
(brainliest would be appreciated)
Expand: (1 + 6x)(1 - 6x)
Answer:
6 x(6x)+6x*-1+1(6x)+1*-1 SIMPLIFIED: 36x^2-1
Step-by-step explanation:
Use foil and distributive property
Solve the following inequality:
-5.3 > 1 – 2(-5x - 1)
Answer:
Submit Answers
Answer:
X< -1.26
Step-by-step explanation:
Combine like terms and solve like any other two step equations
Answer:
X< -1.26
Step-by-step explanation:
what are the solutions of 3x2+14x+16=0
Answer:
(x+2)(3x+8)
Step-by-step explanation:
