Answer:
42.5 Cubic Yards
Step-by-step explanation:
To find volume of a rectangle you do length*width*height to get the volume, so 17*15*0.5(because 6 inches is half of a foot) you get 127.5, but they're asking for it in yards not feet so you need to divide 127.5 by 3 and that will give you 42.5.
The volume of the concrete that would be needed in order to make the rectangular foundation for the patio is 1.574 yards³.
What is the Volume of a cuboid?The volume of the cuboid is the space occupied by the 3D object cuboid. It is the product of the length, width, and depth of the cuboid.
As it is given that we need to make a rectangular foundation, therefore, the shape of the foundation will be a cuboid with sides 5 feet wide, 17 feet long, and depth of 6 inches.
Now, as we know large amounts of concrete can be purchased by the cubic yard only, therefore, we will convert each of the sides of the rectangular foundation into yards.
[tex]\rm Wide, w = 5\ feet = 5 \times \dfrac{1}{3} = \dfrac{5}{3}\ yards\\\\Length, L = 17 feet = 17 \times \dfrac{1}{3} = \dfrac{17}{3}\ yards\\\\Depth, D = 6\ inches = 0.5\ feet = 0.5 \times \dfrac{1}{3} = \dfrac{0.5}{3}\ yards\\\\[/tex]
Now, we know that the volume of the cuboid is given as the product of its length, width, and depth. therefore,
[tex]\text{Volume of Cuboid} = Length\times Width\times Depth[/tex]
[tex]= \dfrac{5}{3} \times \dfrac{17}{3} \times \dfrac{0.5}{3}\\\\= \dfrac{42.5}{27}\\\\=1.574\rm\ yards^3[/tex]
Hence, the volume of the concrete that would be needed in order to make the rectangular foundation for the patio is 1.574 yards³.
Learn more about Volume of Cuboid:
https://brainly.com/question/46030
What is the surface area of the cylinder with height 2 yd and radius 3 yd? Round your answer to the nearest thousandth.
[tex] \boxed{ \mathrm{Surface \: Area = 2\pi r(h +r )}}[/tex]
[tex]2 \times 3.14 \times 3 \times (3 + 2)[/tex][tex]18.84 \times 5[/tex][tex] \boxed{\mathrm{94.2 \: yd {}^{2} }}[/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
(-2-√3) (-2+√3) when simplified is
Answer:
=1
Step-by-step explanation:
(-2-√3)(-2+√3)
=-2(-2+√3)-√3(-2+√3)
=4-2√3+2√3-√9
=4-3
=1
If x/y =6, y/w =4, and x=36, what is the value of w? (A) 1 2 (B) 3 2 (C) 2 (D) 4 (E) 6
Answer:
w = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{y}[/tex] = 6 and x = 36 , then
[tex]\frac{36}{y}[/tex] = 6 ( multiply both sides by y )
36 = 6y ( divide both sides by 6 (
6 = y
Then
[tex]\frac{y}{w}[/tex] = 4 , that is
[tex]\frac{6}{w}[/tex] = 4 ( multiply both sides by w )
6 = 4w ( divide both sides by 4 )
[tex]\frac{6}{4}[/tex] = w , that is
w = [tex]\frac{3}{2}[/tex]
what is the ratios for 150 and 3
What is the midpoint of the segment shown below?
55 POINTS
In a group of 23 students, 2 study both Art and Biology.
2 study Biology but not Art.
4 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
Answer: there are 2 student art and 19 student study Biology
Step-by-step explanation:
Because 4 is already study neither subject.
Ms. Dos has already driven 94.6 miles towards los angeles and it took her 1.1 hours to get that far write a multiplication problem that gives Ms. Dodos average speed
Answer: 86 mph
Step-by-step explanation:
Given
Ms. Dos has driven 94.6 miles
Time is taken 1.1 hours
Average speed is given by the ratio of total distance and total time taken
[tex]\Rightarrow \text{Average speed v=}\dfrac{94.6}{1.1}\\\\\Rightarrow v=86\ mph[/tex]
Two forces of 960 pounds and 670 pounds act simultaneously on an object. The angle between the two forces is 34°. Find the magnitude of the resultant, to the nearest pound.
Answer:
10 pounds
Step-by-step explanation:
the requested information so that
PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ PLZZZZZZZZZZZZ help
Answer:
a. option is the correct answer
Which decimal is equivalent to 8 3/5 ?
0.2x + 0.3 = 0.1x + 0.5
Answer:
x = 2
Step-by-step explanation:
0.2x + 0.3 = 0.1x + 0.5 ( subtract 0.1x from both sides )
0.1x + 0.3 = 0.5 ( subtract 0.3 from both sides )
0.1x = 0.2 ( divide both sides by 0.1 )
x = 2
Is x + 15 = 7 true when x = 12?
_________________________
Answer:
no not even if its supposed to be a negative
Step-by-step explanation:
Each bar includes the left-end value but not the right-end value. For example, the first bar
includes dogs that weigh 60 pounds and 68 pounds but not 80 pounds.
Step-by-step explanation:
Answers:
How many dogs weigh at least 100 pounds?
14 + 5+ 3 + 1 = 23 dogs.
How many dogs weigh exactly 70 pounds?
is unknown, so will be 60-79 .
How many dogs weigh at least 120 and less than 160 pounds?
8 dogs weigh 120 less than 160 pounds.
How much does the heaviest dog at the show weigh?
is unknown, but could be between - 160-179
What would you consider a typical weight for a dog at this dog show? Explain your reasoning.
A typical dog weighs can be 100 - 120.
hope it helps!
resuelve la siguiente ecuación trigonométrica 2Sena-√3=0
A class of 22 students split equally a 10 pound bag of candy.
How much did each student get?
(Simplify the answer.)
Each student reserved 2.2 pounds each
Step-by-step explanation:
I divided 22 by 10 and got 2.2 as for each student I am not sure if your teacher wants it simplified to the nearest whole number but if that's the case each student got 2 pounds of candy
Jasmine, multiply your age by 3 and add 6. Then multiply this sum by 2. James, multiply your age by 2 and add 4. Then multiply this sum by 3. I predict you will both get the same number!
Marking brainliest
Please help
Answer:
The quantities that are needed would be;
a variable (y) representing the total cost that needs to be found out
a constant cost for per cupcake made (This would be 0.17)
a variable (x) representing the number of cupcakes made
any additional cost (This would be $75)
Hope this helps!
i hope u can help meeeee!!!
Answer:
1)4,5,8
2)3,6,7
3)1 and2,5 and 6,3 and 4,7 and 8,1 and6,3and 8,2 and5,4 and 7
It is winter if and only if it is the month of
December
Answer:
false
Step-by-step explanation:
winter can lead into the months of January February and others.
Someone please help me with this question!
danayia has some candy ms.miller gaver her 5 pieces of candy in addition to what she already had. ms.naltner doubled the amount of candy she had. danayia then had 20 pieces of candy.how much candy did danayia start with?
Joshua has a rectangular work table. The sides of the table are 40 inches by 25 inches. What is the length of the diagonal of the table.
Given:
Dimensions of the rectangular table are 40 inches by 25 inches.
To find:
The length of the diagonal of the table.
Solution:
Diagonal of a rectangle is:
[tex]d=\sqrt{l^2+w^2}[/tex]
Where, l is the length and w is the width of the rectangle.
Putting [tex]l=40,w=25[/tex] in the above formula, we get
[tex]d=\sqrt{(40)^2+(25)^2}[/tex]
[tex]d=\sqrt{1600+625}[/tex]
[tex]d=\sqrt{2225}[/tex]
[tex]d\approx 47.17[/tex]
Therefore, the length of the diagonal is about 47.17 inches.
Please help, sorry the image is blurry I retook it multiple times.
Answer:
i dont really know for sure, but try P (-8, 6) Q (-5, 2) and R (2, 1) sorry if its wrong
Step-by-step explanation:
Find volume PLS HELP
Answer:
88.3
I just think so
I dont have a 20 letter explantion
Help please !!!!!!!!!!!
Answer:
See below for answers and explanations to the first 5 problems
Step-by-step explanation:
Problem 1:
cos(x) = 2/3
sec(x) = ?
sec(x) = 1/cos(x)
sec(x) = 1/(2/3)
sec(x) = 3/2
Problem 2:
sinβ = -5/6
cscβ = ?
cscβ = 1/sinβ
cscβ = 1/(-5/6)
cscβ = -6/5
Problem 3:
secφ = 2
tanφ = √3
sinφ = ?
secφ = 1/cosφ
tanφ = sinφ/cosφ
tanφ = sinφ/cosφ
tanφ = sinφ(1/secφ)
√3 = sinφ(1/2)
2√3 = sinφ
Problem 4:
secθ = 8
tanθ = 3√7
cscθ = ?
secθ = 1/cosθ
tanθ = sinθ/cosθ
cscθ = 1/sinθ
tanθ = sinθ/cosθ
tanθ = sinθ(1/cosθ)
3√7 = sinθsecθ
3√7 = sinθ(8)
(3√7)/8 = sinθ
cscθ = 1/sinθ
cscθ = 1/((3√7)/8)
cscθ = 8/(3√7)
cscθ = (8√7)/21
Problem 5:
sinθ = 2/√5
cosθ = 1/√5
tanθ = ?
tanθ = sinθ/cosθ
tanθ = (2/√5)/(1/√5)
tanθ = (2/√5)(√5)
tanθ = 2
Whenever w is an integer greater than 1, logw w^2/w^6=?
-4
-3
-1/3
1/3
3
Answer:
Option (1)
Step-by-step explanation:
Given expression is,
[tex]\text{log_w(\frac{w^2}{w^6})}[/tex][tex]\text{log}_w(\frac{w^2}{w^6} )[/tex]
Let the given expression is equal to y.
[tex]\text{log}_w(\frac{w^2}{w^6} )=y[/tex]
By applying logarithmic rule,
[tex](\frac{w^2}{w^6} )=w^y[/tex]
[tex]w^2\times w^{-6}=w^y[/tex]
[tex]w^{2-6}=w^y[/tex]
[tex]w^{-4}=w^y[/tex]
[tex]y=-4[/tex]
Therefore, value of the given expression [tex]\text{log}_w(\frac{w^2}{w^6} )=-4[/tex].
Option (1) will be the correct option.
Nick cut a circular cookie into 5 equal slices. What is the angle measure of each slice?
A.
36°
B.
72°
C.
108°
D.
144°
Answer:
B
Step-by-step explanation:
72 because 360 divided by 5 is 72
hii i’ll give brainliest please help thanks :)
Answer:
3,6,9
Step-by-step explanation:
123 456 789
Answer:
85
Step-by-step explanation:
hi plz mark brainlist
If 1=3
2=3
3=5
4=4
5=4
Then, 6=?
Answer:
3
Step-by-step explanation:
one = 3 letters (hence 1 = 3)
two = 3 letters (hence 2 = 3)
four = 4 letters (hence 4 = 4)
five= 4 letters (hence 5 =4)
six= 3 letters- hence 6 = 3
Which statements about the system are true?
Select TWO options.
y = 1/3x - 4
Зу - х = -7
A. The system has one solution.
B. The system consists of parallel lines.
C. Both lines have the same slope.
D. Both lines have the same y-intercept.
E. The equations represent the same line.
2 Answers:
B) The lines are parallelC) The lines have the same slope.Parallel lines always have equal slope, but different y intercepts.
==========================================================
Explanation:
Let's solve the second equation for y
3y - x = -7
3y = -7+x
3y = x-7
y = (x-7)/3
y = x/3 - 7/3
y = (1/3)x - 7/3
The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.
However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.
Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.
Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.
I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.