Answer:
18 degree
Step-by-step explanation:
a
=
8.7
rounded to 1 DP
b
=
0.82
rounded to 2 DP
Find the maximum of
a
+
b
The maximum value considering DP of a and b is 9.52.
What is the decimal places of numbers?The decimal places of a number are the number of digits to be considered after the decimal point. E.g Round 4.7583 to 2 dp, we have;
4.76 3 dp
The maximum value of a sum of numbers is the highest value obtained when these numbers are added one to each other. The decimal places of each number is put into consideration in the process.
From the given question;
a = 8.7 and b = 0.82
Thus,
a + b = 8.7 + 0.82
= 9.52
a + b = 9.52
Therefore, the maximum of a + b = 9.52
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2. Marquan sells pretzels at Auntie Anne and earns $15 per hour,
(a) Write an expression to show the relationship between the number of hours
worked (h) and the total earnings.
(b) Use the expression to determine the amount of money he earns if he
worked for 2 hours (b) 3 hours (c) 5 hours
Yes
dollars per hour = salary
a
dollars per hours multiplied with hours worked (h) = total earnings
b
15 x 2 = 30
15 x 3 = 45
15 x 5 = 75
(h)
An architect is designing a circular window to be installed in the
gable of a house. The metal window frame will be 1 foot wide and will be bordered by
the roof above and a wood beam below. The distance from the center of the window to the roof is 3 feet. What will be the circumference of the circular glass pane that will be
needed?
Answer:
12.57 ft
Step-by-step explanation:
First thing we need to find is the radius of the circular glass pane. We are given the information that the center of the glass plane is directly in the center of the triangle and that the closest distance from the center to the roof is 3 ft, including a metal border with a width of 1 ft.
Since the metal frame is the same width all the way around the window, we can safely conclude that the radius of the circular glass pane is 2 ft, as the 3ft measurement included the radius and the metal frame.
Now that we have our radius we can use the formula:
[tex]C=2\pi r[/tex] (Circumference = 2 x pi x radius)
Using 3.14 for pi we get:
[tex]C=2(3.14)(2)[/tex]
[tex]C=4 \pi[/tex] or 12.57 ft (2.d.p)
Which of the following numbers is one fifth of a given number if one fourth of that same number is 20
Answer:100
Step-by-step explanation:
The difference between six and a number is two
Answer:
4.
Step-by-step explanation:
the difference means -.
between a number means use a variable (x) to substitute. so now you have the difference between x and 6 is to. is just means equals so you would set it up like this 6-x=2. you can make this easier by just asking yourself. what number plus 2 equals six? the answer would be 4. 4+2=6-->6-4=2.
identify the expeession equivalent to 2x+8 by substituting x=7 and x=5.
Step-by-step explanation:
If you substitute the x in 2x+8 with 7, you get:
2(7)+8
14+8
22
If you substitute the x in 2x+8 with 5, you get:
2(5)+8
10+8
18
Hope this helps!
How do I solve 6,000-5,258
Answer:
742
Step-by-step explanation:
6000
-5258
742
plzzz I need the answer with full solution. *FIND THE SQUAER ROOT OF 2119936 BY DIVISION METHOD*. plzz help me with this question plzzzzzzzzz!.
Answer:
√2119936=1,456
Step-by-step explanation:
in a group of 35 students 7 have yellow socks what percentage of the students have yellow socks
Answer:
20%
Step-by-step explanation:
[tex]\frac{7}{35} =\frac{y}{100}[/tex]
35 · y = 7 · 100
35y = 700
35y ÷ 35 = 700 ÷ 35
y = 20
can anyone help me with this click to see
Answer:
-3,-5,-6,-10
Step-by-step explanation:
Answer:
-3 -5 -6 -10
Step-by-step explanation:
What is the slope of the line that is parallel to the line y = -2x + 5?
slope =
Answer:
-2
Step-by-step explanation:
Slope intercept form is
y = mx + b
Where m is the slope
Parallel lines have the same slope
----------------------------
y = -2x + 5
is in slope intercept form
the slope, m = -2
The slope of the parallel ine will be the same
m = -2
Hello there!
Parallel lines have the same slope.
So if one line has a slope of -2, then the slope of the line parallel to it is -2 as well.
Hope it helps! :)
If you have any query, please feel free to ask me! :)
~An excited gal
[tex]MagicalNature[/tex] here to help
Consider the inequality x > - 1.5. determine whether each value of x makes this inequality true
9514 1404 393
Answer:
no, yes, yes, no, yes
Step-by-step explanation:
You're looking for values greater than -1.5. All positive numbers will be greater than any negative number.
The two negative numbers among the answer choices are both to the left of -1.5 on the number line. They are less than -1.5, so are not greater than -1.5.
The negative numbers are No; the positive numbers are Yes.
hat is the following sum?
0 7(10√/x²y)
O
O
0 7(²√x²¹x²)
The sum of the given equation is 7[tex]\sqrt[5]{x^{2} y}[/tex].
What is fractional equation?A fractional equation is one in which one or more of its terms have the unknown as their denominator. Equations involving fractions can be resolved using the Cross-Product property.Therefore, when we reduce or simplify a fraction, we aim for maximum simplicity. In order to do this, we divide both the numerator and the denominator by the biggest integer that can be divided precisely into both numbers. In other words, we choose the greatest number that the top and bottom have in common and divide them by that.Equations using fractions require the solution of equations in which the unknown variable is a component of the fraction's numerator or denominator. To solve fractional equations, we must determine the value of the undetermined variable.Given data :
4 ([tex]\sqrt[5]{x^{2} y}[/tex].) + 3 ([tex]\sqrt[5]{x^{2} y}[/tex].)
Add similar elements
= 7[tex]\sqrt[5]{x^{2} y}[/tex].
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Suppose you have a rectangular flower bed whose area is 24ft^2 . The shortest side is (x-4) feet and the longest side is (2x) feet. Find the length of the shortest side.
Answer:
the short side is equal to 2 feet
Step-by-step explanation:
24 = (2x)*(x-4) = 2x² -8x
you'll just use solve on your calculator and get that the x is equal to -2 or 6
which means the short side must be equal to 2
Answer:
2 ftStep-by-step explanation:
Sides are:
x - 4 and 2xThe area is the product of the long and short sides:
2x(x - 4) = 24x(x - 4) = 12x² - 4x = 12x² - 4x + 4 = 16(x - 2)² = 4²x - 2 = 4x = 6The short side is:
x - 4 = 6 - 4 = 2 ftA store is having a sale on chocolate chips and walnuts. For 4 pounds of chocolate chips and 8 pounds of walnuts, the total cost is $33. For 2 pounds of chocolate chips and 3 pounds of walnuts, the total cost is $13.
Find the cost for each pound of chocolate chips and each pound of walnuts.
Answer:
chocolate chip 7
walnuts 3.5
Step-by-step explanation:
assume x=chocolate chips
y=walnuts.
equation
4x + 8y=33
(2x+3y=13)×2
new eq
4x + 8y=33
4x + 6y=26
------------------
2y=7
y=7/2
4x+ 8y = 33
4x + 8(7/2)= 333
4x= 33-28
x=7.00
This circle is centered at the origin, and the length of its radius is 4. What is
the circle's equation?
5+
4
-5
5
-5-
A. x2 + y2 =16
B. x + y = 4
C. X6 + y = 4
D. x2 + y2 = 4
A. x2+y2=16 I just did this question.
A.
B. AB ≅ AC
C.
D. CS ≅ ST
Answer:
what are the rest of the choices, if the ones are the top ones they dont make sense.
Step-by-step explanation:
Julia's Burger Place made 3 burgers with onions and 12 burgers without onions. What is the ratio of the number of burgers without onions to the number of burgers with onions?
The ratio of number of burgers without onions to the number of burgers with onions is 4:1.
Ratio of numbers.The ratio of numbers implies the relationship between the numbers when expressed in its simplest fraction. The relationship can be written in form of a/ b or a:b.
Given in the question that Julia's Burger Place made 3 burgers with onions and 12 burgers without onions. Then the ratio required can be expressed as;
ratio of number of burgers without onions to burgers with onions = (number of burgers without onions)/ (number of burgers with onions)
= 12/ 3
= 4/ 1
The ratio of number of burgers without onions to burgers with onions = 4:1
Therefore, the ratio of the number of burgers without onions to the number of burgers with onions is 4:1.
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Max kicks a football up at a velocity of 25 meters per second. If the ball makes contact with his foot 0.5 meter off the ground, how long will the ball stay in the air?
Answer:
25*0.5 = 12.5
If there are 26 successes in a sample with a size of 40, what is the sample
proportion?
A. 0.65
B. 0.52
C. 0.75
D. 0.26
SUBMIT
Answer:
0.65
Step-by-step explanation:
i need to show work it’s algebra 2
Answer:
a=4 because 4+2=6 on number one
please help will give brainliest
Answer:
2112
Step-by-step explanation:
we find the area of the base first
which is 16*12/2 because it is a right triangle
16*12/2 = 96
then we multiply the base by the height
22*96 = 2112
as a note, remember, prism volume is all base * height
brainliest if this was helpful
6th grader who needs help :( anyone know?
Answer:
B. 4
Step-by-step explanation:
Create an equation:
80 = 18x+8
Solve for x by subtracting both sides by 8:
80-8 = 18x+8-8
72 = 18x
Divide both sides by 18:
72/18 = 18x/18
4 = x
4 is the greatest number of DVDs she can buy.
Can someone solve this please? Thank you!
Answer:
.125
Step-by-step explanation:
1/4 times 1/2 equals .125.
Answer:
Total area of the box is 1 ft squared
Area of the shaded box is .125 ft squared
Area of the non - shaded box is .875 ft squared
Step-by-step explanation:
To find the total area, we can multiple the length * height, 1 * 1 = 1.
To find the shaded area, we can multiple the length * height, .5 * .24 = .125.
To find the total area, we can multiple the length * height of the box minus the shaded area, 1 * 1 - .125 = .875.
Use the drawing tools to form the correct answer on the graph.
Plot function g on the graph.
On solving the provided question, we cans ay that - in given inequality equation to -7 < x < -2; -2 < x < 3
What is inequality?A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.
-7 < x < -2
-2 < x < 3
and 3 > x > 8
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Sound waves can be ranked by their intensity, I, given in this formula, where r is the distance from the source of a sound with a power output of P.
[tex]P = 4xr^{2} .[/tex]
Which equation correctly rewrites the formula to solve for I?
A. [tex]I = \frac{P}{4xr^{2} }[/tex]
B. [tex]I = \frac{Pxr^{2} }{4}[/tex]
C. [tex]I = 4Pxr^{2}[/tex]
D. [tex]I = \frac{4P}{xr^{2} }[/tex]
Answer: C correctly rewrites the formula to solve I
Step-by-step explanation:
A painting is purchased for $350. If the value of the painting doubles every 5 years, then its value is given by the function
V(t) = 350 - 205, where t is the number of years since it was purchased and Vt) is its value in dollars) at that time. What is
the value of the painting 10 years after its purchase?
Answer:
$1400
Step-by-step explanation:
350 x 2 = 700 x 2 = $1400
Help please will mark brainliest!
Answer:
Option B. Cosec θ = –5/3
Option C. Cot θ = 4/3
Option D. Cos θ = –4/5
Step-by-step explanation:
From the question given above, the following data were obtained:
Tan θ = 3/4
θ is in 3rd quadrant
Recall
Tan θ = Opposite / Adjacent
Tan θ = 3/4 = Opposite / Adjacent
Thus,
Opposite = 3
Adjacent = 4
Next, we shall determine the Hypothenus. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus =?
Hypo² = Opp² + Adj²
Hypo² = 3² + 4²
Hypo² = 9 + 16
Hypo² = 25
Take the square root of both side
Hypo = √25
Hypothenus = 5
Recall:
In the 3rd quadant, only Tan is positive.
Therefore,
Hypothenus = –5
Finally, we shall determine Sine θ, Cos θ, Cot θ and Cosec θ to determine which option is correct. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus = –5
Sine θ = Opposite / Hypothenus
Sine θ = 3/–5
Sine θ = –3/5
Cos θ = Adjacent / Hypothenus
Cos θ = 4/–5
Cos θ = –4/5
Cot θ = 1/ Tan θ
Tan θ = 3/4
Cot θ = 1 ÷ 3/4
Invert
Cot θ = 1 × 4/3
Cot θ = 4/3
Cosec θ = 1/ Sine θ
Sine θ = –3/5
Cosec θ = 1 ÷ –3/5
Invert
Cosec θ = 1 × –5/3
Cosec θ = –5/3
SUMMARY
Sine θ = –3/5
Cos θ = –4/5
Tan θ = 3/4
Cot θ = 4/3
Cosec θ = –5/3
Therefore, option B, C and D gives the correct answer to the question.
(Please help) (one question) (NO LINKS)
Answer:
0.25
Step-by-step explanation:
hope that helps!!!!!!!!!!!!!!!!!!!! :)
1. A family went to a restaurant. The total cost
of the meal was $46.50. The family had a
coupon for 30% off the total. What was the
final cost of the meal after the coupon was
used?
Answer:
32.55
Step-by-step explanation:
If you get 30% off, that means you pay (100% - 30% = 70% of the cost)
46.50 * 70%
46.50 *.70
32.55