Answers
Explanation:
86 is the far arc and 18 is near intercepted arc
x = 1/2(far arc - near arc)
[tex]\begin{gathered} x\text{ = }\frac{1}{2}(86-18) \\ \text{ =34} \end{gathered}[/tex]Answer: x = 34
Related Questions
Two angles are supplementary angles if the sum of their measures is 180. Find the measures of two supplementary angles if the measure of one angle is 4 degrees less than three times the other.What are the measures of the two angles?
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Answer:
The measures of the two angles are 46° and 134°.
Explanation:
Let x and y be the two angles:
x+y=180
It is mentioned that the measure of one angle is 4 degrees less than three times the other.
Let:
y=3x-4
Then, we substitute y=3x-4 into x+y=180.
So,
[tex]\begin{gathered} x+y=180 \\ x+(3x-4)=180 \\ \text{Simplify and rearrange} \\ x+3x-4=180 \\ 4x=180+4 \\ 4x=184 \\ x=\frac{184}{4} \\ \text{Calculate} \\ x=46 \end{gathered}[/tex]We substitute x=46 into x+y=180. So,
[tex]\begin{gathered} x+y=180 \\ 46+y=180 \\ \text{Simplify and rearrange} \\ y=180-46 \\ \text{Calculate} \\ y=134 \end{gathered}[/tex]Therefore, the measures of the two angles are 46° and 134°.
The table shows the amounts of onions and tomatoes in batches of different sizes in a sauce recipe.Elena observes that if she takes the number in the column for tomatoes and divides it by the corresponding number in the column for onions, she always gets the same result.What is the meaning of the number that Elena calculated?onions (ounces)246tomatoes (ounces)163248More about this source textSource text required for additional translation informationSend feedbackSide panels
Answers
The number that Elena calculated is the constant of proportionality, which express the ratio of two proportional quantities. In this case, it expresses how much does the amount of tomatoes vary when the amount of onions varies, this is a directly proportional relationship.
An accountant executive had car expenses of $1025.58 for insurance, $1805.82 for gas, $37.92 for oil, and $288.27 for maintenance during the year in which 11,320 miles were driven. Find the cost per mile for these four items taken as a group. Round to the nearest tenth of a cent.
Answers
Answer:
The cost per mile for each and all the expenses is;
[tex]\begin{gathered} \text{For insurance: = 9.1 cents/mile} \\ \text{For gas: = 16.0 cents/mile} \\ \text{ For oil: = 0.3 cents/mile} \\ \text{ For maintenance: = 2.5 cents/mile} \\ \text{ Total cost per mile: = 27.9 cents/mile} \end{gathered}[/tex]Explanation:
Given that;
An accountant executive had car expenses of $1025.58 for insurance, $1805.82 for gas, $37.92 for oil, and $288.27 for maintenance during the year.
The sum of the four expenses is;
[tex]\begin{gathered} T=\text{ \$1025.58 + \$1805.82 + \$37.92 + \$288.27} \\ T=\text{ \$3157.59} \end{gathered}[/tex]During the year it travels 11,320 miles.
The cost per mile for each of the items are;
For Insurance;
[tex]\begin{gathered} \frac{\text{ \$}1025.58}{11320} \\ =\text{ \$0.09 per mile} \\ =9.1\text{ cents/mile} \end{gathered}[/tex]For gas;
[tex]\begin{gathered} \frac{\text{ \$1805.82}}{11320} \\ =\text{ \$0.1595 per mile} \\ =16.0\text{ cent/mile} \end{gathered}[/tex]For oil;
[tex]\begin{gathered} \frac{\text{ \$37.92}}{11320} \\ =0.0033 \\ =0.3\text{ cents/mile} \end{gathered}[/tex]For maintenance;
[tex]\begin{gathered} \frac{\text{ \$288.27}}{11320} \\ =0.0254 \\ =2.5\text{ cents/mile} \end{gathered}[/tex]The total cost per mile will be;
[tex]\begin{gathered} \frac{\text{ \$3157.59}}{11320} \\ =0.2789 \\ =27.9\text{ cents/mile} \end{gathered}[/tex]The cost per mile for each and all the expenses is;
[tex]\begin{gathered} \text{For insurance: = 9.1 cents/mile} \\ \text{For gas: = 16.0 cents/mile} \\ \text{ For oil: = 0.3 cents/mile} \\ \text{ For maintenance: = 2.5 cents/mile} \\ \text{ Total cost per mile: = 27.9 cents/mile} \end{gathered}[/tex]The temperature was 55 degrees when i left my house this morning at 7am. At 4pm the temperature was 82 degrees. What was the percent change in temperature?
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Answer:
27/55 × 100 = 49.0909090909 %
under which of these conditions will the law of sines not give additional information about the triangle?A. two sides and the included angle are given B. two angles and a side opposite one of them are given C. two sides and an angle opposite one of them are given
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We will have that the law of sines won't give us any more information under the following situation:
*Two sides and the included angle are given. [Option A]
A = bh; solve for h
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Given the equation:
[tex]A=b\cdot h[/tex]It's required to solve it for h, that is, isolate h as the only letter on the left side of the equation.
First, swap sides.
[tex]b\cdot h=A[/tex]Then, divide both sides of the equation by b:
[tex]\frac{b\cdot h}{b}=\frac{A}{b}[/tex]Simplify the left side:
[tex]h=\frac{A}{b}[/tex]the price of a calculator with discount of 45% which fraction is equal to 45%
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Explanation
The price of the calculator is discounted 45%al
using the points that are given, what is the slop of this line?
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what would be the cost of 707 square feet of topsoil at the price of $1.25 per square foot
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Answer:
$883.75
Explanation:
The cost of 1 square foot of topsoil = $1.25.
Thus, the cost of 707 square feet of topsoil:
[tex]\begin{gathered} =707\times\$1.25 \\ =\$883.75 \end{gathered}[/tex]find the difference. you nay use a number line to help you find your answer7 - (-0.9) =
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7-(-0.9)
7+ 0.9 = 7.9
Number line:
If m = 2 and n = 3 then, evaluate 1*m*3 + 2*n*2 + 4
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Given:
[tex]1\times m\times3+2\times n\times2+4[/tex]Substitute the value of m=2 and n=3 into the
I need to know 3 equivalent expressions for the total amount of money.
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we can rewrite the expression with a factor
[tex]M=5(8pd+5pd+20d)[/tex]and we can rewrite again with the other factor "d"
[tex]\begin{gathered} M=5d(8p+5p+20) \\ M=5d(13p+20) \end{gathered}[/tex]Find the distance from the point to the line Y=-1x-3 and Q (2,3)
Answers
Solution
We can do the following:
Ax + By + C= 0
Rewriting the line we got:
1x +1y +3=0
And the point is: (x= 2, y= 3)
and we can use the following formula:
[tex]d=\frac{|Ax_1+By_1+C|}{\sqrt[]{A^2+B^2}}=\frac{|1\cdot2+1\cdot3+3|}{\sqrt[]{1^2+1^2}}=\frac{8}{\sqrt[]{2}}\cdot\frac{\sqrt[]{2}}{\sqrt[]{2}}=4\sqrt[]{2}[/tex]
Select the correct answer from each drop-down menu.A carpenter is building a triangular frame. She has three pieces of wood measuring 5 feet. 6 feet, and 12 feet.The carpenter build the triangular frame with the three pieces of wood. She could cut the to create a triangular frame.piece byNext
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Explanation
Answer:
The carpenter can build the triangular frame by cutting the 12 foot piece by 2foot
I tried everything I could to answer this question but I couldn’t get it
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We need to use some properties of the kyte:
· The opposite obtuse angles are equal. In the figure, this means ∠WZY = ∠WXY
· The large diagonal bisects the angles ∠ZWX and ∠XYZ
56 ask us to find m∠XYZ. We can note that the angles ∠ZXY and ∠XZY are congruent. And we know that the interior angles of the triangle XYZ add to 180º.
m∠VXY = m∠VZY = 58º
Then:
[tex]\begin{gathered} m∠ZXY+m∠XZY+m∠XYZ=180º \\ 58º+58º+m∠XYZ=180º \\ m∠XYZ=64º \end{gathered}[/tex]The answer to 56. is 64º
57 ask us to find m∠ZWV, we can use the second property listed above. The large diagonal bisects the angle ∠ZWX. Since we know ∠ZWX = 50º, then:
[tex]\begin{gathered} m∠ZWV=\frac{1}{2}\cdot m∠ZWX \\ . \\ m∠ZWV=\frac{1}{2}\cdot50º=25º \end{gathered}[/tex]The answer to 57 is 25º
58 ask us to find m∠VZW. We know that the sum of all internal angles of a kite (or any quadrilateral), is 360º.
We know:
m∠ZWX = 50º
m∠WZY = m∠WXY
m∠XYZ = 64º
Then:
[tex]\begin{gathered} m∠ZWX+m∠WZY+m∠WXY+m∠XYZ=360º \\ 50º+2m∠WZY+64º=360º \\ 2m∠WZY=360º-114º \\ m∠WZY=\frac{1}{2}\cdot246º \\ m∠WZY=123º \end{gathered}[/tex]And:
[tex]m∠WZY=m∠VZW+m∠VZY[/tex]Now replace the known values of m∠WZY = 123º and m∠VZY = 58º:
[tex]\begin{gathered} 123º=m∠VZW+58º \\ m∠VZW=123º-58º=65º \end{gathered}[/tex]The answer to 58 is 65º
59 ask us to find m∠WZY, we sis it in 58 to find m∠VZW.
The answer to 59 is 123º
At Hayley’s Beading Boutique there are 23 plastic beads and 2 metal beads on clearance. What percentage of the beads on clearance are plastic? PLEASE ANSWER!!!
Answers
The percentage of the beads on clearance are plastic is 92%.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that At Hayley’s Beading Boutique there are 23 plastic beads and 2 metal beads on clearance.
The percentage will be calculated as,
P = 23 / 25
P = 0.92
Multiply by 100 to convert into a percentage,
P = 92%
Therefore, the percentage of the beads on clearance are plastic is 92%.
To know more about percentages follow
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Which of the following are true about the graph of y = (x - a)(x - b)2(x - c)3I) The graph travels through the point x = aII) The graph "bounces off" the point x = bIII) The graph "bounces off" the point x = c
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Consider the given equation,
[tex]y=(x-a)(x-b)^2(x-c)^3[/tex]Put x = a in the equation,
[tex]\begin{gathered} y=(a-a)(a-b)^2(a-c)^3 \\ y=(0)(a-b)^2(a-c)^3 \\ y=0 \end{gathered}[/tex]So the graph of the function passes through (a,0), which is a valid point.
So, option (I) is correct.
Similarly, when substituting the other values, it is obtained that the curve of the given function passes through points (b,0) and (c,0).
But this contradicts with the statements in (II) and (III) respectively.
Therefore, it can be concluded that only statement (I) is correct.
identify the type of function represented by the equation y=-3x
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y = -3x is the equation of a line, with a slope of -3 and a y-intercept of 0
How do you use the following formulas for an equation like this?
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Let's begin by listing out the information given to us:
|CD| = 9.5, |CE| = 13.75, |AC| = 13.75 + 5.5 = 19.25, |BC| = 9.5 + x
Using Triangle proportionality theorem, we have:
[tex]\begin{gathered} |CE|\colon|EA|=|CD|\colon|DB| \\ 13.75\colon5.5=9.5\colon x\Rightarrow\frac{13.75}{5.5}=\frac{9.5}{x} \\ 13.75x=5.5\cdot9.5 \\ \frac{13.75x}{13.75}=\frac{5.5\cdot9.5}{13.75}\Rightarrow x=\frac{5.5\cdot9.5}{13.75} \\ x=3.8 \\ \\ \therefore|BD|=3.8 \end{gathered}[/tex]Write the rate as a unit rate.980 cars in 280 households?
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What is the probability of rolling a die one time and having it land on a number greater than 4?
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Let:
n = Number of outcomes = 6
A = roll a number greater than 4 = 2
Therefore:
[tex]\begin{gathered} P(A)=\frac{A}{n} \\ P(A)=\frac{2}{6}=\frac{1}{3}=0.33 \end{gathered}[/tex]Answer:
33%
For questions 7-8: P is the center of a circle with diameter KR.7. If P(7,-5) and R(4,-2), find the coordinates of point K.8. What is the length of the radius to the nearest hundredth?
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Answer:
7.) The coordinates of point K are (10,8)
8.) The length of the radius, to the nearest hundreth, is of 4.24 units.
Step-by-step explanation:
P is the center of a circle with diameter KR:
This means that P is the midpoint between K and R.
I will see that the points are:
[tex]P(x_P,y_P),K(x_K,y_K),R(x_R,y_R)[/tex]Since P is the midpoint:
[tex]x_P=\frac{x_K+x_R}{2},y_P=\frac{y_K+y_R}{2}[/tex]P(7,-5) and R(4,-2)
This means that:
[tex]x_P=7,y_P=-5,x_R=4,y_R=-2[/tex]7. If P(7,-5) and R(4,-2), find the coordinates of point K
[tex]x_P=\frac{x_K+x_R}{2}[/tex]Substituting:
[tex]7=\frac{x_K+4}{2}[/tex][tex]x_K+4=14[/tex][tex]x_K=10[/tex]Now we do the same for y:
[tex]y_P=\frac{y_K+y_R}{2}[/tex]Replacing with what we have
[tex]-5=\frac{y_K-2}{2}[/tex][tex]y_K-2=-10[/tex][tex]y_K=-8[/tex]The coordinates of point K are (10,8)
8. What is the length of the radius to the nearest hundredth?
The radius is half the diameter(distance between KR divided by 2). It can also be the distance between an endpoint of the circle and the centre(Distance between P and K, or between P and R).
I am going to calculate the distance between P and R.
P(7,-5) and R(4,-2). So
[tex]R=\sqrt{(7-4)^2+(-5-(-2))^2}=\sqrt{3^2+(-5+2)^2}=\sqrt{9+9}=\sqrt{18}=4.24[/tex]The length of the radius, to the nearest hundreth, is of 4.24 units.
The container that holds the water for the football team isfull. After pouring out 5 gallons of w2gallonsХ5?
Answers
Answer:
25 gallons
Explanation:
Let's call x the number of gallons that the container can hold.
The container starts half full, so it starts with (1/2)x gallons, then they pour out 5 gallons to let the container 3/10 full, so we need to subtract 5 gallons to get (3/10)x gallons. It means that we can write the following equation
[tex]\frac{1}{2}x-5=\frac{3}{10}x[/tex]Now, we can solve the expression for x, so
[tex]\begin{gathered} \frac{1}{2}x-5+5=\frac{3}{10}x+5 \\ \frac{1}{2}x=\frac{3}{10}x+5 \\ \frac{1}{2}x-\frac{3}{10}x=\frac{3}{10}x+5-\frac{3}{10}x \\ \frac{1}{5}x=5 \\ 5\cdot\frac{1}{5}x=5\cdot5 \\ x=25 \end{gathered}[/tex]Therefore, the container can hold 25 gallons.
Express the answer in terms of a natural logarithm. Y= (do not simplify)
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Solution
Exponential expressions with natural base e are of the form
[tex]y=a.e^{kx}[/tex]The value of 'a' is already set to be 96 since this is the coefficient of the given equation. We just need to find k
so set 3.8^x as e^kx and solve for k
[tex]\begin{gathered} 3.8^x=e^{kx} \\ 3.8^x=(e^k)^x \\ 3.8=e^k \end{gathered}[/tex]The two sides have the same exponent of x. So the two bases are 3.8 and
e^k must be equal to
[tex]\begin{gathered} e^k=3.8 \\ k=ln(3.8) \\ k=1.335 \end{gathered}[/tex]This means
[tex]e^{kx}=e^{1.335x}[/tex]and we replace the
[tex]3.8^x=e^{1.335x}[/tex]to go from
[tex]y=96(3.8)^x[/tex]to
[tex]y=96.e^{1.335x}[/tex]Therefore the correct answer is
[tex]y=96.e^{1.335x}[/tex]write an equation of each line shown below in slope- intercept form
Answers
Step-by-step explanation:
red: y=2x-1
blue: y=-2/5x-1
Consider the two triangles, which are not drawn to scaleFor the two triangles to be similar by angle-angle similarity, which values could be x be?A. 27 or 115B. 38 or 77C. 52 or 77D. 115 or 153
Answers
Recall that the Angle-Angle criterion states that two triangles are similar if two of their angles are congruent.
Now, recall that the interior angles of a triangle add up to 180 degrees, therefore, the other side of the largest triangle has measure
[tex]180^{\circ}-115^{\circ}-38^{\circ}=27^{\circ}.[/tex]Therefore, the values that x could be are:
[tex]27\text{ or 115.}[/tex]Answer: First option.
[tex]27\text{ or 115.}[/tex]If A={g,y,m,n,a,s,t,i,c} and U={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}, find A′.
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Step 1:
What is the complement of set A' ? are elements or members of set A that are not in the universal set U.
Step 2
Set A = {g,y,m,n,a,s,t,i,c}
Universal set U = {a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}
Step 3:
A' = {b, d, e, f, h, j, k, l, o, p, q, r, u, v, w, x, z}
Final answer
A' = {b, d, e, f, h, j, k, l, o, p, q, r, u, v, w, x, z}
which number is in the tenths place : 123.456?Round the following number to the tenths place: 123.456?
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Answer:
The number in the tenths place is
[tex]4[/tex]Rounding the number to the tenths place, we have;
[tex]123.5[/tex]Explanation:
Given the number;
[tex]123.456[/tex]The number in the tenths place is the first number after the decimal point. Which is;
[tex]4[/tex]Rounding the number to the tenths place, we have;
[tex]123.456\approx123.5\text{ (to the nearest tenth)}[/tex]i need help with this problem..Yolanda took out a 30-year mortgage for $80,000 at 10% How much wills he pay over money year? i assume 2666.66
Answers
Step 1:
Most mortgages are also simple interest loans, although they can certainly feel like compound interest. In fact, all mortgages are simple interest except those that allow negative amortization. An important thing to pay attention to is how the interest accrues on the mortgage.
Step 2:
[tex]Interest\text{ = }\frac{Prt}{100}\text{ }[/tex]Step 3:
Write the given data
P = $80000
t = 30 years
r = 10%
Step 4
[tex]\begin{gathered} \text{Interest = }\frac{80000\text{ }\times\text{ 30 }\times\text{ 10}}{100} \\ \text{Interest = \$240000} \end{gathered}[/tex]Final answer
Interest = $240000
Louis wants to bake 10 cakes for the church festival. She needs 1 3/4cups of flour and 2 1/2 cups of sugar for each cake. How much flourwill she need for the 10 cakes?Enter your answer as an improper fraction.
Answers
Total = 10 cakes
Flour = 1 3/4
Sugar = 2 1/2
Change the fractions to improper fractions
Flour = 1 3/4 = 7/4
Sugar = 2 1/2 = 5/2
Multiply each numbher by 10
Flour = 7/4 x 10 = 70/4
Sugar = 5/2 x 10 = 50/2
Change to proper fractions
Flour = 17 1/2 cups
Sugar = 25 cups