Answer:
50
Step-by-step explanation:
5+5 = 10
10 × 10 = 100
100 ÷ 2 = 50
The measure of the angles of a triangle are in the extended ratio of 3 : 7 : 10. Find the measures of the angles.
A. 27 degrees, 63 degrees, 90 degrees
B. 30 degrees, 60 degrees, 90 degrees
C. 30 degrees, 70 degrees, 100 degrees
D.33 degrees, 77 degrees, 80 degrees
Answer:
A. 27 degrees, 63 degrees, 90 degrees.
Step-by-step explanation:
Let the angle of the triangle be x
Given the following data;
3 : 7 : 10 = 3x : 7x : 10x
We know that the sum of the sides of a triangle is equal to 180 degrees.
3x + 7x + 10x = 180
20x = 180
x = 180/20
x = 9
For the first side;
3x = 3 × 9 = 27°
For the second side;
7x = 7 × 9 = 63°
For the third side;
10x = 10 × 9 = 90°
Therefore, the ratio of the angles of the triangle is 27° : 63° : 90°.
Answer:
The measure of the angles of a triangle are in the extended ratio of 3 : 7 : 10. Find the measures of the angles.
A. 27 degrees, 63 degrees, 90 degrees✓
B. 30 degrees, 60 degrees, 90 degrees
C. 30 degrees, 70 degrees, 100 degrees
D.33 degrees, 77 degrees, 80 degrees
A. is the right answer.Step-by-step explanation:
Let the required angles of the triangle be 3x, 7x and 10x
According to the above problem,
[tex]3x + 7x + 10x = 180 \\ 20x = 180 \\ x = \frac{180}{20} \\ \boxed{x = 9}[/tex]
Therefore the angles are :---
[tex]3x = 3 \times 9 = 27°✓ \\ 7x = 7 \times 9 = 63°✓ \\ 10x = 10 \times 9 = 90°✓[/tex]
Students were asked how many hours they read in a week. Is this a good example of a statistical question? Why or why not?
Yes, this is a good statistical question because a variety of answers are given.
Yes, this is a good statistical question because there are not a variety of answers that could be given.
No, this is not a good statistical question because there are not a variety of answers that could be given.
No, this is not a good statistical question because there are a variety of answers that could be given.
Answer:
A
Step-by-step explanation:
when asked how many hours you’ve read all week, there are going to be many numbers that you get from different people.
Answer:
i think the answer is C.
Step-by-step explanation:
there's a variety of answers. one student could say 5 hours and another could say 1 hour. there isnt an exact answer.
The fraction: 340 | 3/4
Which quotient equals to the fraction?
A: 3/4 divided by 340
B: 340 divided by 3/4
C: 340/45
D: 340 divided by 75
Answer:
It's A I hope that helps
Step-by-step explanation:
Please help me with this last problem!!!
Answer:
Step-by-step explanation:
Can someone please help me with this and can you please include the work/ how to do it I’m stuck and it’s my last problem.
Hello answer asap please!
A scale model of the Golden Gate Bridge in San Francisco has a main span that is 284 centimeters long. If the scale of the model is 1 cm : 15 ft, how long is the main span of the bridge?
Answer:
We can use a proportion, here:
Let x be the main span length
15 ft/ 1cm = x ft / 284 centimeters cross-multiply
284 * 15 = x = 4260 ft
During a six month period, the cost of a bag of sugar, s increased and decreased at different times. The highest cost for a bag of sugar is s increased by 45% and the lowest cost of a bag of sugar is s decreased by 45%. Which expressions represent the correct description of the meaning in context when s is increased by 45%.
1.45s
0.45s
s+45s
s+0.45s
1.00s+0.45s
s-.45s
Answer:
O.45(s)
Step-by-step explanation:
Help me with this pls
Answer:
radius= 5.1 diameter= 10.2
Step-by-step explanation:
5.1×2=10.2
Find the slope of the line that passes through the points A (-1,5) and B (7,1).
Answer:
-1/2
Step-by-step explanation:
what is 12=0.5m pls i need help
Answer:
m=24
Step-by-step explanation:
12=0.5m
Divide 12 by 0.5
m=24
Answer:
Step-by-step explanation:
12% of .5metre is 0.5x12/100=6/100=0.06 metre
a store owner sells a mix that is 45% cashew nuts how many pounds of cashews should be add to 36 lb to make it 60% cashews
Answer:
13.5 lbs
Step-by-step explanation:
The number of pounds to be added with 36 lb to make cashews nut 60% is 12 pounds.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
45% cashew nuts = 36 lb
Multiply 60/45 on both sides.
60% = 60/45 x 36 lb
60% = 48 lb
The number of pounds to be added.
= 48 - 36
= 12 lb
Thus,
12 pounds of cashew should be added to 36 lb to make it 60% cashews.
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The Fabulous Fish Market orders tilapia, which costs $3 per pound, and salmon, which costs $5 per pound. The market budgets $210 to spend on this order each day.
Define variables and write an equation representing the relationship between the amount of each fish bought and how much the market spends.
Answer:3x+5y=210
Step-by-step explanation:
We dont know how much of each fish they bought so we would add an x and a y. A answer you can put are:
35 pounds of tilapia and 21 pounds of salmon.
Answer:Your answer is...
Step-by-step explanation:3x+5y=210
A cookie recipe calls for 2 eggs and 3 cups of flour. Nisha plans to increase the recipe
and use 6 eggs. Let x represent the number of cups of flour. Which proportion could be
used to calculate the number of cups of flour she needs?
A.
2+4
X +4
B.
2 4
3 х
WIN WIN
C.
3.2
3x
D.
2 6
3 x
Answer:
Step-by-step explanation:
2+4
X +4
B.
2 4
3 х
WIN WIN
C.
3.2
3x
D.
2 6
3 x
Answer:
First, I would find the unit rate for people 240 5
people who bike 48 1 . Next, I would
find the number of people who like to bicycle in a group of 360 people and
assume that only people that like to bicycle would own a mountain bike:
5 360 = = 72
1
x
x , . Finally, I would write the ratio 7 mountain bikes = 18 bicyclists= bicyclists 72
x
and
solve for x to see that there should be 28 mountain bikes.
Step-by-step explanation:
solve the equation: 27 = 17 - 5y
Answer:
y = -2
Step-by-step explanation:
27 = 17 - 5y
27-17=17-5y-17
10=-5y
10/-5=-5y/-5
-2=y
Answer:
y = -2
Step-by-step explanation:
I need help plssssss plsss here seggy picture too
is it froom fairy tale
Step-by-step explanation:
k your welcome
Answer:
So seggzsey
Step-by-step explanation:
5 = -0.9m
What does m equal
Answer:
m= -5.5
Step-by-step explanation:
Mark me braniliest plzz
Stacey worked in her garden 1 1/2 hours. Josh worked in his garden 2/3 as long as Stacey, Vicki worked in her garden 1 3/4 as long as Stacey.
what is the answer for combine y and 7
Answer:
7y
Step-by-step explanation:
The answer for combine y and 7 are 7a, 7 +y, 7 - y and 7/y.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now the given statement is,
combine y and 7
Now a variable is a symbol (usually a letter) that stands for a value that may vary.
Here y is our variable.
When we combine numbers and variables in a valid way, using operations such as addition, subtraction, multiplication, division, exponentiation, and other operations and functions, the resulting combination of mathematical symbols is called a mathematical expression.
Thus, combining y and 7 may have result as-
7a, 7 +y, 7 - y and 7/y.
Thus, the answer for combine y and 7 are 7a, 7 +y, 7 - y and 7/y.
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Use the drop-down menus to locate integers on the number line. A B C D 5 -4 3 2 - 1 + 3 4 1 2 5 6 7 B В C < D
Answer:
can you take a picture of it? the format you put it in is confusing.
Answer:
c
Step-by-step explanation:
did it on edge
There are 480 soccer balls on a field. Every hour, half of the balls are put back into the locker room. Write an equation that can be used to find the number of soccer balls remaining on the field at the end of x hours.
Answer:
[tex]y= 480-0.5x[/tex]
Step-by-step explanation:
Given data
Number of balls= 480
we are told that 50%(half) of the balls are put back every 1
let the number of hours be x
and let the remaining ball be y after x hours
Hence the expression is given as
[tex]y= 480-0.5x[/tex]
What if Jake has two shirts, five pairs of pants and four sweaters? How many
outfits can he make? *
Answer:
5
Step-by-step explanation:
There are 5 pants 2 shirts and 4 sweaters which makes 6 together, paired up makes 5 outfits and one extra sweater or shirt.
In the latest meet the boys cross county team scored 55 points.If there were five runners on the team and each runner finished one after another. What places did they each come in?
Answer:
Runner 1 = 9th place
Runner 2 = 10th place
Runner 3 = 11th place
Runner 4 = 12th place
Runner 5 = 13th place
Step-by-step explanation:
Given that:
Number of runners = 5
Total points scored = 55
Finishing spot for each runner (they finished one after the other)
Hence,
x, (x + 1), (x + 2), (x + 3), (x + 4)
x + x + 1 + x + 2 + x + 3 + x + 4 = 55
5x + 10 = 55
5x = 55 - 10
5x = 45
x = 9
Hence,
Runner 1 = 9th place
Runner 2 = 10th place
Runner 3 = 11th place
Runner 4 = 12th place
Runner 5 = 13th place
A landscaper used 2 1/2 tons of sunburst pebbles, 3 1/4 tons of black polished pebbles, and ton of river pebbles. What was the total weight of the pebbles? 5/8
Answer:
6.375 tons or 6 3/8 tons
Step-by-step explanation:
According to Given data, calculation are as follows,
Sunburst pebbles = 2 1/2 tons or 2.5 tons
Black polished pebble = 3 1/4 tons or 3.25 tons
River pebble = 5/8 tons or o.625 ton
So, total weight of pebbles are as follows,
Total weight = 2.5 tons + 3.25 tons + 0.625 ton
= 6.375 tons or 6 3/8 tons
Hence, total weight of pebbles was 6 3/8 tons.
PLZ HELP MEEE!!!
Sheila has sketched a net for a cylinder as shown below.
What is the closest to the total surface area of her cylinder?
A. 141 in2
B. 68 in2
C. 198 in2
D. 297 in2
Classify the triangle as acute, obtuse, or right if it has sides of 10, 12, and 15.
Answer:
acute triangle
Step-by-step explanation:
the sum of two numbers is 40.if the greater number is 8 more than the smaller one , find the numbers
Answer:
16
Step-by-step explanation:
let the smaller no be x so the greater no is 8 + x
soln
8+x + x = 40
8 + 2x = 40
2x = 40-8
2x = 32
x = 32÷2
therefore x = 16
Answer:
16 and 24
Step-by-step explanation:
let the 2 numbers be x and y, x > y , then
x + y = 40 → (1)
x = y + 8 → (2) [ greater number 8 more than smaller ]
Substitute x = y + 8 into (1)
y + 8 + y = 40, that is
2y + 8 = 40 ( subtract 8 from both sides )
2y = 32 ( divide both sides by 2 )
y = 16
Substitute y = 16 into (2)
x = 16 + 8 = 24
The 2 numbers are 16 and 24
At the beginning of 2010, City A had a population of 2,425 and was growing by 27 residents per year. City B had a population of 1,813 and was growing by 63 residents per year. If this trend continues in what year will the populations of the two cities be the same?
Answer: 17 years
Step-by-step explanation:
City A is currently 2,425 people in number and growing at 27 per year.
An expression to find the population in a given year assuming the year is x would be:
= 2,425 + 27 * x
= 2,425 + 27x
Applying the same logic to City B would give an expression of:
= 1,813 + 63x
Equating these together will give the year they will be the same:
2,425 + 27x = 1,813 + 63x
2,425 - 1,813 = 63x - 27x
612 = 36x
x = 612/36
x = 17 years
Answer:
gey
Step-by-step explanation:
geyehnr
Is (0, 3) a solution to the equation y = 4x?
yes
no
Submit
???
14 1/6 - 7 1/3 in simplest form
Help plz
Answer: 7 -1/6
Step-by-step explanation:
Multiply the denominator and numerator (1/3) by 2 to get 2/6, then do 1/6-2/6, which gives you a negative. Then subtract your whole numbers (14-7) to get 7 -1/6
Answer:
Step-by-step explanation:
14*6=84 84+1 = 85 that is 85/6
7*3=21 21+1=22
85/2=42
42/3 / 22/3=20/3
Three vertices of parallelogram ABCD are A(0,2), B(8,1), and D(3,4). Find the coordinates of vertex C.
Answer:
my answer is(5,7) thats may answer
A parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
The coordinates of vertex C are (11, 3).
What is a parallelogram?A parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
We have,
Three vertices of the parallelogram ABCD.
A = (0, 2)
B = (8, 1)
D = (3, 4)
C = (x, y)
A___________B
/ /
/ O /
/ /
D C
Now,
AO = OC
BO = DO
O is the midpoint of BD.
O =(m, n)
m = (8 + 3) / 2
m = 11/2
n = (1 + 4)/2
n = 5/2
O = (11/2, 5/2)
Now,
O is the midpoint of AC.
m = (x + 0)/2
11/2 = x/2
x = 11
n = (y + 2)/2
5/2 = (y + 2)/2
y + 2 = 5
y = 3
The coordinates of C.
= (x, y)
= (11, 3)
Thus,
The coordinates of vertex C are (11, 3).
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