Answers
Answer:
∠A = 90
∠B = 30
∠C = 60
Step-by-step explanation:
Let ∠B = x
∠A = 3x
∠C = x + 30
Angle sum property of triangle: Sum of three angles of triangle is 180
x + 3x + x + 30 = 180 {Combine like terms}
5x + 30 = 180
5x = 180 - 30
5x = 150
x = 130/5
x = 30
∠A = 3*30 = 90
∠C = 30 + 30 = 60
Related Questions
The breadth and length of a rectangle are in the ratio 4:5 and its area is
32 sqm. What are the length and breadth?
Answers
Answer:
[tex]length=(\sqrt{40} )m,breadth=\frac{4\sqrt{40} }{5} m[/tex]
Step-by-step explanation:
So the ratio 4:5 relates the length and breadthNow the length is always longer that the breadth so 5 represents the length and 4 the breadthA ratio can be written as a fraction so [tex]4:5=\frac{4}{5}[/tex] Let [tex]l[/tex] mean length and [tex]b[/tex] breadth, so the ratio [tex]b:l=4:5,so,b:l=\frac{b}{l}=\frac{4}{5}[/tex] So if [tex]\frac{b}{l}=\frac{4}{5}[/tex] then multiply both sides by [tex]l[/tex] and you get [tex]b=\frac{4}{5} l[/tex] Now the equation for area is [tex]area=length*breadth[/tex] or [tex]A=l*b[/tex]Since our breadth [tex]b[/tex] equals [tex]\frac{4}{5} l[/tex] then we substitute for the breadthSo [tex]A=l*(\frac{4}{5}*l)=\frac{4}{5}*l*l=\frac{4}{5} l^2[/tex] so [tex]A=\frac{4l^{2}}{5}[/tex] We know the Area is [tex]32m^2[/tex] so [tex]32m^2=\frac{4l^{2}}{5}[/tex] so we simplify [tex]5*(32m^2)=5*(\frac{4*l^{2}}{5})\\ 160m^2=4*l^2\\ \frac{160m^{2}}{4}=\frac{4*l^{2}}{4} \\ 40m^2=l^2\\ l^2=40m^2\\ \sqrt{l^{2}} =\sqrt{40m^{2}} \\ l=(\sqrt{40})m[/tex] Now we find the breadth, since [tex]b=\frac{4}{5}*l \\ b=\frac{4}{5}*(\sqrt{40} )m\\ b=\frac{4\sqrt{40} }{5} m[/tex]Suppose the sample space for a continuous random variable is 0 to 100. If the area under the density curve for the variable from 0 to 20 is 0.15, what is the area under the density curve from 20 to 100?
Answers
The solution is, 0.85 is the area under the density curve from 20 to 100.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
given that,
Suppose the sample space for a continuous random variable is 0 to 100. If the area under the density curve for the variable from 0 to 20 is 0.15
The area under the density curves for the continuous random variables always add up to unity.
Thus, the area under the density curve from 20 to 100 is ;
1 - 0.15
which is;
1 - 0.15
= 0.85
Hence, The solution is, 0.85 is the area under the density curve from 20 to 100.
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A company is considering purchasing mineral rights to two different mountains. The probability that it will purchase the mineral rights to the mountain is 0.55. The probability that will purchase the mineral second mountains 0.4. Assuming the decisions to purchase the mineral rights to each mountain are made independently, the probability that it will purchase the mineral rights to exactly one of the two mountains?
Answers
Answer:
.51
Step-by-step explanation:
P(F)=.55, P(S)= .4
P(F ∩ not S)= .55×.6=.33
P(S ∩ not F)= .4×.45=.18
.33+.18=.51
Answer:
The probability of purchasing mineral rights to exactly one of the two mountains is 0.51.
Step-by-step explanation:
Given information:
A company is considering purchasing materials:
The probability of purchasing mineral rights
Form the first mountain [tex]p_1=0.55\\[/tex]
From the second mountain [tex]p_2=0.4[/tex]
As the decision is made independently
So, P([tex]p_1[/tex]∩ not[tex]p_2[/tex]) [tex]=0.55 \times 0.6\\[/tex]
P([tex]p_1[/tex]∩ not[tex]p_2[/tex]) [tex]= 0.33\\[/tex]
Similarly, the value of
P([tex]p_2[/tex]∩ not[tex]p_1[/tex]) [tex]=0.4 \times 0.45[/tex]
P([tex]p_2[/tex]∩ not[tex]p_1[/tex]) [tex]=0.15[/tex]
Hence , [tex]P=0.33+0.18[/tex]
[tex]P=0.51[/tex]
Hence , the probability of purchasing mineral rights to exactly one of the two mountains is 0.51.
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What is the slope of the line that contains these points?
x 9 13 17 21
y -24 -21 -18 -15
Answers
Answer: m=3/4
Step-by-step explanation:
Looking at the table given, we can assume two of the points are (9,-24) and (13,-21). To find the slope with given points, we use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. We can plug the two points in and solve.
[tex]m=\frac{-21-(-24)}{13-9} =\frac{3}{4}[/tex]
Now, we know that the slope is 3/4.
Answer:
slope = 3/4
Step-by-step explanation:
Helpppp me plz thanks
Answers
Answer:
It’s 55
Step-by-step explanation:
180- 125=55
Answer:
This is a same side interior angle. I just learned this in class so don't blame me if your wrong, ur taking advice from a 4th grader dude.
Answer is: x
read the explanation lol
Step-by-step explanation:
So we know angle 3 and 4 is=180
7 and 8 =180
but 4 and 7 ALSO add up to 180, I think you can do this now. It's mental math.
Hint: 125+x=180
Mealworms are a healthy food for wild songbirds. Adam buys a 3.5 oz container of mealworms for 8.75. Marco buys a 3.75 oz container of mealworms for 9.75. Which container is the better deal (Connect Ratios, Rates, and Unit Rates)
Answers
Answer:
Adam's container
Step-by-step explanation:
Adam's: 8.75/ 3.5 = 2.5
Marco's: 9.75/ 3.75 = 2.6
= 2.5
Norma's retirement party will cost $24 if she invites 12 guests. If there are 13 guests, how much will Norma's retirement party cost? Solve using unit rates.
Answers
Answer:
If there are 13 guests, it would cost Norma $26
Step-by-step explanation:
Since 12 guest equals 24 dollars all you have to do is divide 24/12 which would give you 2dollars. this means that she has to pay 2 dollars per guest. Multiply 13 becuase you want to know how much money it would cost with 13 guests and you get 26 dollars. Hope this helps.
Answer:
It'll cost $26 !
Step-by-step explanation:
if you set it up like this;
[tex]\frac{13}{x}= \frac{12}{24}[/tex]
you can see a few ways of solving this !
one way is cross multiplication .
13 x 24 = 312
312 / 12 = 26
cellus
Find the standard deviation of
the given data rounded to the
nearest hundredth.
147, 141, 120, 124, 128
Answers
Answer:10.3
Step-by-step explanation:
what is the meaning of divisor
Answers
Answer:
Were a number is divided by another.
Answer:
look it up but I learned this. A divisor - I forgot but here, the Web told me:
divisor
[dəˈvīzər]
NOUN
mathematics
a number by which another number is to be divided.
a number that divides into another without a remainder.
"the greatest common divisor"
HOPE I HELPED!
Stan made changes to
his driving habits and
went from 18 mpg to
22 mpg. What was
Stan's percent
increase in his gas
mileage?
Answers
Answer:
22%
Step-by-step explanation:
What is the m for this slope?
Answers
Answer:
-3/4x
Step-by-step explanation:
Down 3, right 4. We know it's negative because it's declining, and going down till you reach the x-coordinate of the point gives us -3, and going right 4 units to the location of the point.
i will mark brainliest please help
Answers
Answer:
The answer would be two and four
Step-by-step explanation:
Answer:
II and IV
Step-by-step explanation:
H and S only would appear the same after 180° rotation.
Triangle GHJ with vertices G(-1, 3), H(4, -12), and J(3, -1) is dilated by a factor of 1/3 centered at the origin. What are the coordinates of G' after the dilation?
Answers
Answer:
The coordinates of Good after dilation will be (-1/3,1)
Step-by-step explanation:
Here, we want to get the coordinates of the point G after dilation
Mathematically, that would be having 1/3 multiply the coordinates of G
G’ = 1/3 (-1,3)
G’ = (-1/3 , 1)
A car can travel 252 miles on 9 gallons of gasoline. How many gallons of gas
will it need to go 140 miles?
1
Answers
Answer:
5
Step-by-step explanation:
252/140=9/X
252x=1260
x=5
Solve:
r/5- 6
= -1
My Answer:
Answers
Answer:
r = 25
Step-by-step explanation:
r/5 = 5
5 x r/5 = 5 x 5
r = 25
Answer:
r=25
Step-by-step explanation:
r/5-6+6= -1+6
r/5=5
r/5×5=5×5
r=25
Brody earns $11 for each hour of babysitting. How many hours in all will it take Brody to
earn a total of $33?
Answers
Answer:
3 hours
Step-by-step explanation:
11 / 33 =3
11 x 3 = $33
Answer:
3
Step-by-step explanation:
If brody earns $11 for each hour, and ends up with a total of $33 dollars, use the 11x=33. x= the amount of hours he worked. Move the 11 over to the other side by dividing each side by 11. Then 33 divided by 11 is 3 so x=3.
What is (5/4)³ ? Just asking-
Answers
Answer: 1.953... or 125/64
Step-by-step explanation:
Which of the following is the value of expression 3y+5(x-8) when x=11 and y=2
Answers
Answer:
y=2
Step-by-step explanation:
that is it!!! I hope I'm correct..
Answer:
21
Step-by-step explanation:
Given
3y + 5(x - 8) ← substitute x = 11, y = 2 into the expression
= 3(2) + 5(11 - 8) ← evaluate parenthesis
= 6 + 5 × 3
= 6 + 15
= 21
Domain is the set of all input values, while range is the set of all: a. independent variables c. relations b. output values d. functions Please select the best answer from the choices provided A B C D
Answers
Answer:
b
Step-by-step explanation:
A rectangular is completety filled with dice.Each dice has volume of 2cm³.The length of the box is 5cm grater than its width and its height is 5cm.Suppose the box holds at most 150dice.What are the posibble dimensions of the box
Answers
Answer:
length = 10.64 cm, width = 5.64 cm, and height = 5 cm.
Step-by-step explanation:
Total volume of dice that filled the box = (150 x 2) cm³
= 300 cm³
Let the length, width and height of the box be represented by l, w and h respectively.
So that;
l = (w + 5) cm
w = w
h = 5 cm
volume of the box = length x width x height
= (w + 5) x w x 5
= (w + 5) x 5w
= 5[tex]w^{2}[/tex] + 25w
volume of the box = 5[tex]w^{2}[/tex] + 25w
Since the box was completely filled by 150 dice, then;
total volume of dice = volume of the box
300 = 5[tex]w^{2}[/tex] + 25w
5[tex]w^{2}[/tex] + 25w - 300 = 0
Divide through by 5 to have;
[tex]w^{2}[/tex] + 5w - 60 = 0
Applying the quadratic expression,
w = (-b ± [tex]\sqrt{b^{2} - 4ac}[/tex]) ÷ 2a
where: a = 1, b = 5 and c = -60
(-5 ± [tex]\sqrt{5^{2} - 4(1*-60)}[/tex] ) ÷ 2
(-5 ± [tex]\sqrt{265}[/tex]) ÷ 2
(-5 ± 16.28) ÷ 2
(-5 + 16.28) ÷ 2 OR (-5 - 16.28) ÷ 2
5.64 OR -10.64
Thus, w = 5.64 cm
So that, l = (w + 5) = 10.64 cm
The possible dimensions of the box are: length = 10.64 cm, width = 5.64 cm and height = 5 cm.
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below: Based on these results, express the probability that the next spin will land on blue as a decimal to the nearest hundredth.
Answers
Answer:
The probability that the next spin will land on blue is 0.12.
Step-by-step explanation:
The result of the several spins are as follows:
Color Frequency
Red 18
Blue 9
Green 18
Yellow 19
Purple 12
TOTAL 76
Compute the probability that the next spin will land on blue as follows:
[tex]P(Blue)=\frac{n(Blue)}{N}\\\\=\frac{9}{76}\\\\=0.1184211\\\\\approx 0.12[/tex]
Thus, the probability that the next spin will land on blue is 0.12.
The probability that the next spin will land on blue as a decimal to the nearest hundredth is 0.12 and this can be determined by using the given data.
Given :
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple.
The spinner is spun several times, and the results are recorded below:
Colour Frequency
Red 18
Blue 9
Green 18
Yellow 19
Purple 12
So, the total frequency is = 18 + 9 + 18 + 19 + 12
= 76
Based on the above given results, the probability that the next spin will land on blue is given by:
[tex]\rm P = \dfrac{n}{N}[/tex]
[tex]\rm P = \dfrac{9}{76}[/tex]
P = 0.1184
P [tex]\approx[/tex] 0.12
So, the probability that the next spin will land on blue as a decimal to the nearest hundredth is 0.12.
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8lb ham for $9.60 or 6lb ham for $7.50
Answers
Answer:
if ur asking which is a better deal, then it's the 8 lb ham for 9.60
Step-by-step explanation:
Answer:
8lb ham for $9.60
Step-by-step explanation:
If Jerome were to roll two dice 48 times, about how many times could he expect to roll doubles? Group of answer choices 18 times 12 times 8 times 6 times
Answers
Answer: 8 times
Step-by-step explanation:
There are 1/6 chance everytime you roll, so if you x48 is is 48/6 which is 8 times!
Which best represents the solution set of all real numbers?
[ [ PLEASE ANSWER , I'M CONFUSED ] ]
Answers
Answer:
B.
Step-by-step explanation:
Since the solution set is all real numbers, our solution graph must cover the entire number line.
We can see that B contains the graph that extends infinitely in both directions, thereby covering the entire number line.
Therefore, our answer is B.
A is not correct because it leaves out [-6, 1] (approximately).
C is not correct because it leaves out everything to the left of -7 and everything to the right of 1.
what are the solutions to the quadratic equation 6x^2 + 24X = 0?
Answers
Answer: {0, -4}
Step-by-step explanation: Notice that the two terms on the left side
of the equation have a greatest common factor of 6x.
So start by factoring out a 6x to get 6x(x + 4) = 0.
So either 6x = 0 or x + 4 = 0.
Eventually we find that x = 0 or x = -4.
So our solution set is {0, -4}.
Please help I have no idea what the answer is
Answers
Answer:
x = 25
Step-by-step explanation:
Answer:
x= 25
Step-by-step explanation:
Add 2 given sides then subtract 180
Part B and part C
The function is f(x)=x^2+7x-8
Rewarding 18 points !!!!
Answers
X Y
-6 -14
-5 -18
-7/2 -81/4
-3 -20
-2 -18
Now graph these points
Judith's family went on a cross-country trip. They drove exactly 232 miles a day for 12 days. How many miles did they drive?
696 miles
2,824
2,884
2,784 miles
Answers
Answer:
2,784 miles
Step-by-step explanation:
232*12=2,784
what is the equation of the graph below?
Answers
Answer:
y = 3x + b
3x is the slope
y = 3x + 1 because 1 is the y intercept
Step-by-step explanation:
Answer:
y = 3x + 1
Step-by-step explanation:
You know the y intercept by looking where the line hits the y axis, which is at (0,1), so you know the "b" of the equation is 1. Then, you do rise over run. If you rise 3 and run 1, you get to another point, so I know the slope is 3/1 or 3.
Determine the multiplicity of the roots of the
function k(x) = x(x + 2)3(x + 4)2(x − 5)4.
Answers
Answer:
1,3,2,4
Step-by-step explanation: