Answer:
38°
Step-by-step explanation:
All triangles have a sum of 180°
180 - (119 + 23) = missing angle
180 - (142) = missing angle
38 = missing angle
So, the missing angle has a measurement of 38°
A town has population of 5000 and grows 3.5 percent every year. What will be the population after 15 years , to the nearest whole number?
Answer:
After 15 years the population will be 7,625
Step-by-step explanation:
3.5% of 5,000 = 175
175 x 15 = 2625
2625 + 5,000 = 7625
The population after 15 years should be 8,376
Calculation of the population:Since the population is 5,000 and it grows 3.5 years and the time period is 15 years
So, the population after 15 years is
[tex]= 5,000 \times (1 + 3.5\%)^{15}\\\\[/tex]
= 8,376
Therefore, we can conclude that The population after 15 years should be 8,376
Learn more about population here: https://brainly.com/question/24309536
When I visit my brother it is a 532 mile round trip. If I visit my brother once a month how many miles would I travel in a year round the miles to the nearest hundreds to estimate the answer
Answe12800 miles
Step-by-step explanation:a year is 12 months, and mile round trip means there and back. so 532x24 for the 24 trips that equals 12768. 12768 rounded to the nearest hundreds is 12800
8 − (−11) = ? ..................................................................................................................
Answer:
+19
Step-by-step explanation:
8-(-11)= 8+11
8-(-11)=+19
Answer:
19
Step-by-step explanation:
8 - ( -11) =
8 + 11 =
19
The two negatives combine to make a positive.
Elsie starts a food blog. In the first month, there are 46 new subscribers. Each month after that, the number of new subscribers
increases by 15 more than the number of new subscribers in the previous month. At this rate, what will be the total number of
subscribers after 8 months?
788
394
151
848
Answer:C 151
Step-by-step explanation:
7 * 15=105 + 46=151
Answer: 788
Step-by-step explanation:
There are 81 women teachers at Russell High. If 45% of the teachers in the school are women, how many teachers are there at Russell High?
Answer:
180 teachers
Step-by-step explanation:
In this case, we know the value corresponding to 45% of female teachers which is 81, therefore, to find the total it would be:
% teachers #teachers
45 81
100 x
we apply the rule of three:
x = 100 * 81/45
x = 180
which means that there are a total of 180 teachers at Russell High
Four bags of peaches weigh 5.6 pounds, 3.9 pounds, 4.9 pounds, and 6.2 pounds.
What is the median weight of the bags?
The answer is 5.25
First, you need to list all of the numbers from least to greatest. Then, you remove the sides (first 3.9 and 6.2 being the least and the greatest numbers). You then have 4.9 and 5.6 so you need to add them together (getting 10.6) and divide your answer by 2 (getting 5.25).
Hope I helped and good luck :)
When the polynomial x^4-3x^3-7x^2+7x+2 is divided by x+2 the quotient is x^3 +Bx^2 +Cx +1. Find the value of B +C
Answer:
B=-5
C=3
Step-by-step explanation:
x^4-3x^3-7x^2+7x+2= x^4-3x^3-10x^2+3x^2+7x+2
=x^4-3x^3-10x^2+ 3x^2+7x+2
=x^2(x^2-3x-10)+ 3x^2+7x+2
=x^2(x^2+2x-5x-10)+ 3x^2+6x+x+2
=x^2(x(x+2)-5(x+2))+ 3x(x+2)+1(x+2)
=(x+2)(x^2(x-5)+(3x+1))
=(x+2)(x^3-5x^2+3x+1)
Answer:
B=-5
C=3
Step-by-step explanation:
(3/7)*(1/10)-(3/7)*2/5+3/7*1
solve the above-using propeties of rational numbers..
pls give the ans fast..
it's very urgent...
pls don't give wrong ans...
Answer:
[tex]\frac{- 39}{70}[/tex]
Step-by-step explanation:
{[tex]\frac{3}{7}[/tex] x [tex]\frac{1}{10}\\[/tex]} - { [tex]\frac{3}{7}[/tex] }x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1
We follow the BODMAS rule
= [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1
= [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7\\}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1
= [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7\\}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex]
= [tex]\frac{3}{70}[/tex] - [tex]\frac{6}{35}[/tex] + [tex]\frac{3}{7}[/tex]
= [tex]\frac{3}{70}[/tex] - [tex]\frac{6}{35}[/tex] + [tex]\frac{3*5}{7*5}[/tex] LCM= 35
= [tex]\frac{3}{70}[/tex] - [tex]\frac{6 + 15}{35}[/tex]
= [tex]\frac{3}{70}[/tex] - [tex]\frac{21}{35}[/tex]
= [tex]\frac{3}{70}[/tex] - [tex]\frac{21*2}{35*2}[/tex] LCM= 70
= [tex]\frac{3 - 42}{70}[/tex]
= [tex]\frac{- 39}{70}[/tex]
A cereal box has the dimensions shown. A drawing of a rectangular prism shaped cereal box with length 9 inches, width 4 inches and height 12 inches. a. Find the surface area of the cereal box.
Answer:
surface area of the rectangular shaped cereal box = 384 ft²
Step-by-step explanation:
The cereal box is a rectangular prism . The rectangular prism has a length of 9 inches, height of 12 inches and width of 4 inches . The surface area can be computed below .
Surface area of the prism is the sum of the area of all the faces. Therefore,
surface area = 2wl + 2lh + 2hw
where
l = length
w = width
h = height
surface area = 2wl + 2lh + 2hw
l = 9 inches
w = 4 inches
h = 12 inches
surface area = 2(4 × 9) + 2(9 × 12) + 2(12 × 4)
surface area = 2(36) + 2(108) + 2(48)
surface area = 72 + 216 + 96
surface area of the rectangular shaped cereal box = 384 ft²
Answer:
The cereal box is a rectangular prism . The rectangular prism has a length of 9 inches, height of 12 inches and width of 4 inches . The surface area can be computed below .
Surface area of the prism is the sum of the area of all the faces. Therefore,
surface area = 2wl + 2lh + 2hw
where
l = length
w = width
h = height
surface area = 2wl + 2lh + 2hw
l = 9 inches
w = 4 inches
h = 12 inches
surface area = 2(4 × 9) + 2(9 × 12) + 2(12 × 4)
surface area = 2(36) + 2(108) + 2(48)
surface area = 72 + 216 + 96
surface area of the rectangular shaped cereal box = 384 ft
Step-by-step explanation:
You buy a classic comic book for $45. You want to resell it and make a $15 profit. What percent do you need to markup the comic book?
33% profit
ratio: 15:45
That can be simplified into 1:3
The price is increased by $15, which is 1/3 of the original $45.
1/3 as a percentage is about 33%.
The expresstion 2m +10c gives the amount of money in dollars a desert store makes from selling m muffins and c cakes. How much money does the dessert store make from selling three muffins and four cakes
Answer:
$46.
Step-by-step explanation:
We plug m = 3 and c = 4 into the given expression:
Money made = 2*3 + 10*4
= $46.
can help for this questing
1) 2)
Answer:
1. Median
2. Altitude
Step-by-step explanation:
Medians- Bisect the side (Split the side into two equal parts)
Altitude- Makes a right angle
1. Splits the side into two equal parts. Anwser: Median
2. Makes a right angle Answer: altitude
Can someone help me with this
Answer:
30.5 and 46
Step-by-step explanation:
The minimum is 30.5 and the maximum is 46
BRAINLIEST!!!!!!! ANSWER QUICKLY!!!!!!!!!!!!!!!!!!!!!!!
Hi, I need help. I have a question about the Big Bang and Evolution. I don't fully understand or believe what happened. Can someone with a great mind try to explain it. Good luck by the way, I will tell you what I think in the comments. I don't believe in the Big Bang, I doubt you can convince me, but if you are willing to try..........please do.
Answer:
The big bang is showing that there is tiny atoms. The atoms grouped up with gravity and more and more grouped making a super dense dot. The dot exploded making gases creating stars. The stars were bigger so they got new atoms to join creating planets. One planet named was suitable for life so tiny germs. The rest nobody knows.
Step-by-step explanation:
“And I do appreciate you being ‘round”
Answer:
LMJ and NMO
Step-by-step explanation:
Think of it as an X, top and bottom are vertical, and so are both sides together.
Answer:
LKJ and NMO
Step-by-step explanation:
Vertical angles are formed from the same lines and are opposite each other
LKJ and NMO are formed from the same lines and are opposite each other
what is the independent value
Please answer asap. Find the volume.
Answer:
5cm³
Step-by-step explanation:
Volume of rectangular prism formula= L×W×H
1/2×4×5/2=
2×5/2=
10/2=
5cm³
Carol is standing 8 feet from a lamppost. The angle of elevation from her eyes to the top of the lamppost is 20o, and the angle of depression from her eyes to the bottom of the post is 35o . How tall is the lamppost?
Answer:
Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft
Step-by-step explanation:
The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.
Depression triangle
The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,
using tangential ratio
tan 35° = opposite/adjacent
tan 35° = a/8
cross multiply
a = 8 tan 35°
a = 8 × 0.70020753821
a = 5.60166030568
a = 5.602 ft
Elevation triangle
The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.
tan 20° = opposite/adjacent
tan 20° = b/8
cross multiply
b = 8 tan 20°
b = 8 × 0.36397023426
b = 2.91176187413
b = 2.912 ft
Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft
match the type of graph with its description
Answer:u tell me doc
Step-by-step explanation:
create an equation of a line that is Direct and parallel to y= 3x + 4
Hope this helps
Answer: [tex]y=3x[/tex]
Step-by-step explanation:
parallel lines have the same slope so you can have any line that is y=3x plus a number thats not 4
EXAMPLES:
[tex]y=3x-3[/tex]
[tex]y=3x+5[/tex]
[tex]y=3x-2[/tex]
Factorise this expression as fully as possible
4x^2+x^3
Answer:
x^2(4+x)
Step-by-step explanation:
you have to factor out x^2 off both equations since that's the only thing that you can divide off the equations
A survey in one middle school showed that 3 out of 5 students enjoy biking on the weekends. Predict how many out of the 972 students in the school would say they enjoy biking on the weekends.
Oil prices are projected to increase by 50% by next March. A quart of oil currently costs $1.85. What is the projected cost of a gallon of oil next March? Round your answer to the nearest hundredth.
Answer:
$11.10 per gallon.
Step-by-step explanation:
There are 4 quarts in a gallon so the cost of a gallon of oil currently is 1.85×4=$7.40
If the gallon price of oil goes up 50% then our answer is: 7.40×[tex]\frac{3}{2}[/tex]=[tex]\frac{22.2}{2}[/tex]=11.1
The price of oil in March will be $11.10 per gallon.
Answer: 50% of 1.85= 11.10
Step-by-step explanation:
11.10 is the correct answer
What is 1/3 of 60% as a fraction
60% *0.01 = 0.6
1/3*0.6=0.2=2/10=1/5
Answer:
1/5
The fraction is 1/5.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
60%
= 60/100
= 6/10
= 3/5
Now,
1/3 of 60%
= 1/3 x 3/5
= 1/5
Thus,
The fraction is 1/5.
Learn more about fractions here:
https://brainly.com/question/24370499
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Paint costs $12 per litre and can only be purchased in a full number of litres. One litre of paint covers an area of 10m2. A rectangular wall is 6.5 long and 3m high and needs two coats of paint. What will be the cost of paint for the wall?
Answer:
$48
Step-by-step explanation:
The rectangular wall is 6.5 m long and 3 m high and needs two coats of paint. This means the wall will be painted twice.
First, we find the area of the wall. The area of a rectangle is given as:
A = L * B
where L = length and B = breadth
Therefore, the area of the wall is:
[tex]A = 6.5 * 3 = 19.5 m^2[/tex]
One litre of paint covers an area of [tex]10m^2[/tex].
The paint can only be purchased in a full number of litres.
Therefore, let us find how many litres it will take to paint the wall once:
[tex]10m^2[/tex] = 1 litre
[tex]19.5 m^2[/tex] = 19.5 / 10 = 1.95 litres
Since the paint can only be bought in full number of litres, we approximate 1.95 litres to whole number, that is 2 litres.
2 litres is needed to paint the wall once.
Therefore, we need double of that to paint the wall twice, that is:
2 * 2 = 4 litres
Paint costs $12 per litre, therefore, the price for 4 litres is:
4 * 12 = $48
The cost of paint for the wall is $48.
Question 1 (1 point)
What is the area of the SHADED sector of the circle?
162° H
O a
Ob
Oc
400 x units2
20 x units2
180 x units2
40.x units2
od
Question:
What is the area of the SHADED sector of the circle?
Image of the circle is attached.
A) 400π units²
B) 20π units²
C) 180π units²
D) 40π units²
Answer:
C) 180π units²
Step-by-step explanation:
From thr circle, we can see that the given radius is 20 and the shaded part is 162°
The formula to calculate the area of the shaded sector of a circle is =
Area of the circle * fraction of the shaded part of the circle.
We know area of a circle = πr²
Therefore, area of the shaded sector =
[tex] = \pi r^2 * \frac{162}{360}[/tex]
[tex] = 20^2 * \pi * 0.45 [/tex]
[tex] = 400 * 0.45 * \pi [/tex]
[tex] = 180 \pi [/tex]
Area of the shaded sector of the circle is 180π units²
A door sign has a length of 7 inches and an area of 25 square inches. Use the numbers and symbols shown to the right to choose an equation that can be used to find the unknown width (w). Choose all that apply. Then solve.
Answer:
The equation is [tex]25=7w[/tex]The width is 3.6 inches, approximately.Step-by-step explanation:
Givens
The length of the door sign is 7 inches.Its area is 25 square inches.We know that the area of a rectangle is
[tex]A= w \times l[/tex]
Where [tex]w[/tex] is width and [tex]l[/tex] is length.
We know by given that [tex]l= 7 \ in[/tex] and [tex]A= 25 \ in^{2}[/tex], replacing these values and solving for [tex]w[/tex], we have
[tex]25=7w[/tex] (this is the equation used to solve the problem).
[tex]w=\frac{25}{7} \approx 3.6 \ in[/tex]
Answer:
The equation is Area = length × width.
The width is approximately 3.57 inches.
Step-by-step explanation:
Door sign length, l = 7 inches
Area, A = 25 square inches
Width (w) is unknow.
Since the area is the product of the length and the width,
A = l×w
25 = 7×w
Dividing both sides by 7
w = 25/7
≈ 3.57 inches
If the zeros of a function are = 2 and = 7, what was the function? Could there be more than one answer?
Answer: [tex]f(x)=x^{2} -9x+14[/tex]
Step-by-step explanation:
[tex]x=2,7[/tex]
[tex]f(x)=(x-2)(x-7)[/tex]
[tex]f(x)=x^{2} -9x+14[/tex]
The distance d (in feet) that it
takes a car to come to a complete stop can be modeled
by d = 0.05s^2 + 2.2s, where s is the speed of the car
(in miles per hour). A car has 168 feet to come to a
complete stop. Find the maximum speed at which the
car can travel.
Answer:
40 mph
Step-by-step explanation:
To find the maximum speed at which the car can travel, as the distance it requires to stop is 168 feet, we just need to use the value of d = 168 in the equation, and then find the value of s:
168 = 0.05s^2 + 2.2s
0.05s^2 + 2.2s - 168 = 0
Using Bhaskara's formula: we have:
Delta = 2.2^2 + 4*0.05*168 = 38.44
sqrt(Delta) = 6.2
s1 = (-2.2 + 6.2)/0.1 = 40 mph
s2 = (-2.2 - 6.2)/0.1 = -84 mph (a negative value does not make sense as 's' is the speed of the car)
So the maximum speed of the car is 40 mph
What is the solution to this system of equations graphed?
Write your answer as an ordered pair, for example (-4,5).
Answer:
(2,-2)
Step-by-step explanation:
The solution to a system of equations like these, is where the two lines intersect. In this case, I believe, it would be at point (2,-2). Although, it is a little hard to pinpoint without the labeled number lines.
Hope this helps! Best of luck!