Part A: 5,333[tex]\frac{1}{3}[/tex] square yards
EX: The length of the football field is 100 yards. The width of the field is 53[tex]\frac{1}{3}[/tex] yards.
Part B: 1/10 inch per yard
EX: The scale used in the drawing is 1 inch to 10 yards. I can represent this ratio in several different ways: 1 inch to 10 yards, 1 inch : 10 yards, 1 in/ 10 yd or 1/10
Part C: 10 inches
EX: Set up a proportion where the numerators are the measurements in the scale drawing and the denominators are the actual measurements of the football field:
1 in. / 10 yd. = × in. / 100 yd.
Cross multiply, and then divide both sides by 10 to solve for x:
100 = 10x
10 = x
Part D: 5 1/3
EX: Use the actual width of 53[tex]\frac{1}{3}[/tex] yards and the scale to find the width of the field in the scale drawing.
Set up a proportion where the numerators are the measurements in the scale drawing and the denominators are the actual measurements of the football field:
1 in / 10 yd = 53[tex]\frac{1}{3}[/tex] yd
Cross multiply, and then divide both sides by 10 to solve for x:
10x = 53[tex]\frac{1}{3}[/tex]
x = 160/3 ÷ 10
x = 16/3
x = 5[tex]\frac{1}{3}[/tex]
Part E: 53 1/3
EX: In the scale drawing, the length of the football field is 10 inches and the width is 5[tex]\frac{1}{3}[/tex] inches. The area of a rectangle is length × width:
area = length × width
= 10 in. x 5[tex]\frac{1}{3}[/tex] in.
= 53[tex]\frac{1}{3}[/tex] sq. in. ( square inches)
Part F: The ratio is 1 square inch to 100 square yards
EX: The area of the football field in the scale drawing is 53[tex]\frac{1}{3}[/tex] square inches.
The area of the actual football field is 5,333[tex]\frac{1}{3}[/tex] square yards.
The calculation for the ratio of the scaled area to the actual area is
53[tex]\frac{1}{3}[/tex] sq. in. / 5,333[tex]\frac{1}{3}[/tex] sq. yd. = 1 sq. in. / 100 sq. yd.
Step-by-step explanation:
47 I a) Find the values of Angles 1, 2, 3, and 4. Show your steps or explain your reasoning for each.
Five numbers have an average of 6.
Four of the numbers are 0, 1, 3, and 7.
What's the fifth number?
Answer:
1+3+0+7+x/6=6....
11+x=36...
X=36-11=25
Houston’s annual salary is $89,616. He falls in the 35% tax bracket. What is his net annual salary?
Answer:
$31365.60
Step-by-step explanation:
pls simplify 9a+3b-4a-2b
Answer:
its 5a+b don't report my answer because its correct
Step-by-step explanation:
Answer:
5a+b
Step-by-step explanation:
A. mg- fp sin theta
B. mg-fp cos theta
c. Mg + fp sin theta
d. mg
Answer is d mg ...........
HOPE IT HELP....
Apply the algebra tiles to find (8x2 + 8x + 5) - (2x2 + 6x + 4).
A)
6x2 + 2x - 1
B)
6x2 + 2x + 1
6x? + 14x + 1
D)
10x2 + 2x + 1
Help please!!!!!!!!!
Answer:
multiplied by 10 goes in the blank line.
Step-by-step explanation:
Choose the number of hours as 1.
The number on the y axis that is the number of miles is 10
So any time you have will be multiplied by 10 to get the total number of miles.
In the isosceles trapezoid below,
x = = [? ]°
Answer:
Step-by-step explanation:
yes
if you solve the equation,
5x+15=7x-11
26=2x
x=26/2=13
Plzz help. Giving everything!!!!!!!!
Answer:
A. 25, obtuse
Step-by-step explanation:
By exterior angle theorem:
2x° = 30° + 20°
2x° = 50°
x° = 50°/2
x° = 25°
x = 25
Type of triangle: Obtuse
Two vectors of lengths 4 and 6 have a dot product equal to 24. Which is true about the vectors?
Answer:
1
Step-by-step explanation:
the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns a single number. In Euclidean geometry , the dot product of the Cartesian coordinates of two vectors is widely used.
Answer:
C
Step-by-step explanation:
Edge 2021
g If the quantity of helium in a weather balloon in increased by a factor of 5 at constant temperature and pressure, by how much does the volume of the balloon change? Decrease by 2 times Increase by 5 times Decrease by 5 times Increase by 2 times
Answer:
Increase by 5 times
Step-by-step explanation:
Given that from the ideal gas law;
PV = nRT
P= pressure
V= volume
n= number of moles
R= gas constant
T = temperature
It the follows that;
V= nRT/P
When the number of moles (quantity of helium) is increased by a factor of 5 while temperature and pressure remain constant, we can write;
PV = 5nRT
V = 5nRT/P
Hence the volume increases by a factor of 5.
Thomas went to the zooe and saw an African Bush Elephant that weighed 13,000 pounds. how many tons did this elephant weigh?
Answer:
6.5 tons
Step-by-step explanation:
A ton is equal to 2000 pounds.
13000/2000 = 6.5
due in an 1hr help!!
Answer:
I think its D
Step-by-step explanation:
Mark me Brainliest
.Write the vertex and indicate if the graph opens up or down. y = 2x2 + 8x + 3
A. (2,5) down
B. (-2,5) up
C. (-2,-5) down
D. (-2,-5) up
Given:
The equation of the parabola is
[tex]y=2x^2+8x+3[/tex]
To find:
The vertex and check whether it opens up or down.
Solution:
We have,
[tex]y=2x^2+8x+3[/tex]
Here, leading coefficient is 2 which is a positive number. So, the parabola opens up.
The vertex of parabola [tex]f(x)=ax^2+bx+c[/tex] is
[tex]\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)[/tex]
Here, a=2, b=8 and c=3.
[tex]\dfrac{-b}{2a}=\dfrac{-8}{2(2)}[/tex]
[tex]\dfrac{-b}{2a}=\dfrac{-8}{4}[/tex]
[tex]\dfrac{-b}{2a}=-2[/tex]
Putting x=-2 in the given equation.
[tex]y=2(-2)^2+8(-2)+3[/tex]
[tex]y=2(4)+(-16)+3[/tex]
[tex]y=8-16+3[/tex]
[tex]y=-5[/tex]
So, the vertex of the parabola is at (-2,-5) and parabola opens up.
Therefore, the correct option is D.
please help me asap
Answer:
5 times K is 5K
Step-by-step explanation:
gujjhgvbjyijgvbn
Answer:
5k
Step-by-step explanation:
5 times k is 5k
Antony and lily started moving in opposite directions from the same point at the same time. If Antony was biking with an average 12 mph speed and Lily was walking by 4 mph, how soon the distance between them will be 76 miles?
4 hours and 45 minutes
The number of miles increasing each
hour is 16, 16 times 4 is 64, and to get
to 76, you add an extra 3/4 of an hour
which is 45 minutes.
Hope it helps!
Simplify the equation
Answer:
4¹⁵
Step-by-step explanation:
3×5=15 ....................
rearrange w=5(3a-b) + 2 to make a the subject
Answer:
w=15a-5b+2
w+5b-2=15a
(w+5b-2)/15=a
Step-by-step explanation:
The value of a in the expression w = 5(3a - b) + 2 is a = (1 + 5b - 2)/15.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given an expression w = 5(3a - b) + 2.
Now to make 'a' the subject is the same as finding the value of a.
w = 5(3a - b) + 2.
w = 15a - 5b + 2.
w + 5b - 2 = 15a.
a = (1 + 5b - 2)/15.
learn more about numerical expressions here :
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My Final Question! 50 points and Brainliest!
[tex]ln(x-24)+ln(x+100)=3 ln 5[/tex]
Answer:
lnx-24ln+lnx+100ln=3ln5
2lnx+76ln=3ln5
What is the equation of the graphed line written in standard form? x – 4y = 4 x + 4y = 4 y = y equals StartFraction one-fourth EndFraction x minus 1.x – 1 y = –y equals negative StartFraction one-fourth EndFraction x minus 1.x – 1
Answer:
The answer is A
Step-by-step explanation:
I got it right
Answer:
Answer is A
Step-by-step explanation:
Write the ratio of dogs to cats in simplest form.
12 dogs, 16 cats
6 to 8
8 to 6
4 to 3
3 to 4
12/16 becomes 6/8 which later becomes 3/4.
So,
The ratio of dogs to cats in simplest form is 3:4 [Option 4]
Hope it helps!
What is the value of x in the equation 2(x+3) = 4(x-1)?
O 1
02
0 3
O 5
Answer:
5
Step-by-step explanation:
the plane___(land) at 4 o clock this morning
Answer:
landed
landed since it has to be past tense.
Answer:
landed
Step-by-step explanation:
"this morning" suggests it is in the past tense, so past tense is needed.
need help asap pls don’t troll!!
Answer:
smallest side is HI
Step-by-step explanation:
because the opposite side of smaller angle is always small
Answer:
HI
Step-by-step explanation:
Which point represents (-6, pi/12)?
Answer: C
Step-by-step explanation: C
The point on the polar coordinate that represents (-6, pi/12) is point C.
What is the point of the system?The point on the polar coordinate system that is equivalent to (-6, pi/12) is point C. This is the case because the value of pi/12 can be found on the cis formation to C.
In addition, multiplying the denominator by two gives us the value of 12. So, the point on this plane that is equal to (-6, pi/12) is point C. The polar coordinate system is one of the many ways of representing a complex function.
Learn more about the polar coordinate system here:
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Imagine Kiri Commented On this question (⊙_⊙)?
Answer:
That would just be magical- like let's imagine how it would turn out. :>
Step-by-step explanation:
I WILL GIVE BRAINLIEST
Answer:
The missing exponent is 7
Quick Help! Will mark brainliest!!!
Answer:
square root of 3
Step-by-step explanation:
...................
Please answer!!! PLEASE AND THANK YOUUUUU
Answer:
X=5
Step-by-step explanation:
If figure B is a larger version of A, that means that 2 was multiplied by 2.5 to get 5. Therefore, x was multiplied by 2.5 to equal 12.5. So, if you divide 12.5 by 2.5, you will get the answer 5=x.
Hope This Helps!! ^O^
Answer:
when 2 in small figure is enlarged, it became 5, so it's multiplied by 2.5.
so, 2 x 2.5 = 5
therefore, X x 2.5 = 12.5
X = 12.5/2.5
X = 5
Hope it helped u,
pls mark as the brainliest
^_^
A recent poll of 1500 new home buyers found that 60% hired a moving company to help them move to their new home. Find the margin of error for this poll if we want 95% confidence in our estimate of the percentage of new home buyers who hired movers.
Answer:
The margin of error M.O.E = 2.5%
Step-by-step explanation:
Given that;
The sample size = 1500
The sample proportion [tex]\hat p[/tex] = 0.60
Confidencce interval = 0.95
The level of significance ∝ = 1 - C.I
= 1 - 0.95
= 0.05
The critical value:
[tex]Z_{\alpha/2} = Z_{0.05/2} \\ \\ Z_{0.025} = 1.96[/tex] (From the z tables)
The margin of error is calculated by using the formula:
[tex]M.O.E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1 -\hat p)}{n}}[/tex]
[tex]M.O.E = 1.96 \times \sqrt{\dfrac{\hat 0.60(1 -0.60)}{1500}}[/tex]
[tex]M.O.E = 1.96 \times \sqrt{\dfrac{0.24}{1500}}[/tex]
[tex]M.O.E = 1.96 \times \sqrt{1.6 \times 10^{-4}}[/tex]
M.O.E = 0.02479
M.O.E ≅ 0.025
The margin of error M.O.E = 2.5%