Answer:
60 people
Step-by-step explanation:
Let
x = total people in the group
Number of Left-handed people = 12
Percentage of left-handed people = 20%
20% of x = 12
20/100 * x = 12
0.2 * x = 12
0.2x = 12
x = 12/0.2
x = 60 people
x = total people in the group = 60
A 10-foot ladder is placed against a building so that the ladder makes a 78°
angle with the ground. To the nearest tenth of a foot, at what height does the
ladder touch the building?
Answer:
Step-by-step explanation:
The height of the ladder using trigonometric ratio is 9.8 feet.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
The slanting height of the ladder = 10 foot
The ladder makes an angle = 78°
Let height of the ladder be 'h'.
The below diagram shows the ladder position.
The height of the ladder can be found by using trigonometric ratio,
[tex]sin \theta=\frac{perpendicular}{hypotenuse}[/tex]
⇒ [tex]sin78=\frac{h}{10}[/tex]
⇒ [tex]0.9781=\frac{h}{10}[/tex]
⇒ [tex]h=9.781[/tex] ≈ [tex]9.8[/tex]
Hence we can conclude that the height of the ladder using trigonometric ratio is 9.8 feet.
Learn more about trigonometry here
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Isaac finished eight of the ten homework problems. Phil has finished of the homework. How many more problems did Isaac finish?
Answer:
-2
Step-by-step explanation:
If Issac has finished 8/10 problems in the homework, and Phil has completed all of it, it can be concluded that Phil completed 10/10. 10/10 would equal a whole, or in this case, the entire homework. If Issac completed 8 problems, and Phil completed 10, subtract both values to find that Issac completed -2 more problems than Phil.
*correct me if I'm wrong, or If I didn't fully understand your question, because I am a little confused with how much homework Phil has finished.
fast very simple sum fast
Answer:
[tex]45678 = 46000 \\ 98789 = 99000[/tex]
if the total surface area of lidless cubical box is 90 cm square find the length of edge of the box
Answer:
√18
Step-by-step explanation:
Ok, there's 5 squares that make up the box since the top's missing, so do:
90/5 --> 18
Since squares are simply length^2 to get the area, square root this value to give you your answer for each side length of this box:
√18
At an ice cream shop, Roy orders 3 scoops of ice cream and 1 topping for $3.95. Pete orders 2 scoops and 2 toppings for $3.10. What is the cost per scoop and per topping?a. $0.35 per scoop and $1.20 per topping/ b. $1.20 per scoop and $0.35 per topping/ c. $3.10 per scoop and $0.85 per topping/ d. $2.25 per scoop and $0.85 per topping
The price for 1 scoop of ice cream and the price for 1 topping is $1.20 and $0.35 respectively.
Suppose the price for 1 scoop of ice cream = x
The price for 1 topping = y
What is a linear equation?An equation of the form ax+by+c=0 is called a linear equation where a, b and c are real numbers.
According to the question
3x+y=3.95.......(1)
2x+2y=3.10.......(2)
Multiply equation (1) by 2 on both sides
6x+2y=7.90.....(3)
Subtracting the equation (2) from equation(3)
4x=4.80
x=1.20
So, y = 0.35
So, the price for 1 scoop of ice cream =$1.20
The price for 1 topping = $0.35
Hence, the price for 1 scoop of ice cream and price for 1 topping is $1.20 and $0.35 respectively.
To get more about linear equations visit:
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Answer:
B
Step-by-step explanation:
What is the sales tax for a purchase of $8 if the tax rate is 5 percent?
Answer:
0.4
Step-by-step explanation:
Answer: Total Price: $ 8.40
Step-by-step explanation: Net Price: $ 8.00 + Sales Tax (5%): $ 0.40
I will give brainiest
Answer:(0, -3)
Step-by-step explanation:
3 is added to 5 times a certain number and the result is multiplied by 5 the final answer is not more than 2 less than the number
Answer:
The number is less than - 0.708
Step-by-step explanation:
Given - 3 is added to 5 times a certain number and the result is multiplied by 5 the final answer is not more than 2 less than the number
To find - What is the number ?
Proof -
Let a number be x
Given that,
3 is added to 5 times a certain number
So,
The expression becomes 3 + 5x
Now,
Given that, the result is multiplied by 5
So,
The expression becomes (3 + 5x)× 5
Now,
Given that,
The final answer is not more that 2 less than the number.
So,
The equation becomes
(3 + 5x)× 5 ≤ x - 2
⇒15 + 25x ≤ x - 2
⇒15 + 2 + 25x - x ≤ 0
⇒17 + 24x ≤ 0
⇒24x ≤ -17
⇒x ≤ - [tex]\frac{17}{24}[/tex]
⇒ x ≤ -0.708
∴ we get
The number is less than - 0.708
If I need to pour a cement sidewalk five feet wide and 250 feet long, the cost of the cement is 30 afoot, what will I have to pay.
Answer:
$37500
Step-by-step explanation:
Given data
Width of side walk= 5ft
Lenght= 250ft
Cost per square foot= $30
Hence the area of the side walk= 5*250
= 1250ft^2
Hence the cost = 30*1250
=$37500
20a³-20a²+5a=?
-9x²+6x-1=?
-12a²+24ma-12m²=? 6a²-24a⁴+24a⁶=?
7x²+7y⁴-14y²=?
Answer:
5a^6,-3x^3-1
Step-by-step explanation:
we subtract the base and add the exponent
Two hundred students were polled on their preferred theme for prom. Find the approximate value of the chi-square test statistic.
Males Females
Evening in Paris 89 30
Vintage Disco 32 18
Enchanted Gardens 15 16
1: 8.37
2: 8.73
3: 2.57
4: 2.75
Answer:
8.37
Step-by-step explanation:
dont know but i know this is correct!
cosine angle B (geometry, right triangles- giving brainliest and thanks to all!)
Answer:
10/6 is the answer
cosine=hypotenuse/opposite
Step-by-step explanation:
help for my math homework
asap! please help i’ll give brainliest
Answer:
the last one
Step-by-step explanation:
because the line inside the box of the box and whisker plot determines the median!!!
hope this helps!! :D
Answer:
80444444444444444448----2-19999999999999999999999999999999999999488888888888888888888888865194974037205702795042-73--457-309703407203570-2-5-593759597207092-7503928077475073703594370975909304575407590565-17596332-659549579-27943595396575-2759650-2650-2959-92552820595907979474237947479023333333372222227403794322225409732222224700007945479470000374444444440944453709433337094444444444444474555555709479000447950497439270007454709490375777772093749930579047093479352974300000040357999994794432099999994907777743799949034970349743972437900000000940733320944444755555554099970304937777449037709437453094490377974374903
Step-by-step explanation:
Sally can paint a room in 9 hours while it takes Steve 5 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answer: About 3 hours and 5 minutes to paint the room together.
Step-by-step explanation:
Sally can paint 1/5 of the room in an hour and Steve can paint 1/8 of the room in an hour.
Room/Hour
1/5 ± 1/8 =8/40
8/40+5/40=13/40
How long to paint the room?
13/40 x 1= 40/13
40÷13=3.0777
So the answer will be Sally and Steve can paint the room in about 3 hours and 5 minutes
the population of red tailed squirrels in Oklahoma is currently estimated to be 2.5 million and is expected to grow at an annual rate of 2.3. find the estimated population in 9 years
Answer:
2.5 million + 2.3 =250002.3
In a right triangle, the hypotenuse has endpoints P(–3, 2) and Q(1, –3). If R represents the third vertex in the triangle and R is located in the third quadrant, what is the length of PR?
PR = 5 units.
Step-by-step explanation:Given:
Right triangle
Hypotenuse = P(–3, 2), Q(1, –3)
R = located in the third quadrant.
To calculate the length of PR,
(i) First make a sketch of the points P and Q. The diagram is attached to this response.
(ii) As shown in the diagram, the point R is located in the third quadrant and its distance from P is from point -3 to 2 on the y-axis.
There are 5 points between -3 and 2. Therefore, the length PR = 5 units
Compare your statistics from region to region.
Answer:
The province of La Union registered lower fisheries production in 2nd quarter 2018 as compared with the level a year ago.
explanation:hope it helps.❤️
#carryonlearning
Alice is searching online for tickets to a knicks game. Two weeks ago, the cost was $30. Now the cost is $39. What is the percent increase
Given:
Two weeks ago, the cost of tickets = $30
Now, the cost of tickets = $39
To find:
The percent increase.
Solution:
We have,
Initial value = $30
New value = $39
Formula for percentage increase is:
[tex]\%\text{increase}=\dfrac{\text{New value - Initial value}}{\text{Initial value}}\times 100[/tex]
Using this formula, we get
[tex]\%\text{increase}=\dfrac{39-30}{30}\times 100[/tex]
[tex]\%\text{increase}=\dfrac{9}{3}\times 10[/tex]
[tex]\%\text{increase}=3\times 10[/tex]
[tex]\%\text{increase}=30[/tex]
Therefore, the percent increase in the cost of tickets is 30%.
Alejandro wants to rent an apartment that costs $795 a month. They want $25 for a
credit check and one month's rent as a security deposit. How much money does
Alejandro need to rent the apartment.
Answer:
820
Step-by-step explanation:
795 + 25 = 820$
Convert 3/4 into a percent
Answer:
[tex] \frac{ 3}{4} \times 100\% \\ 75\%[/tex]
PLEASE HELPPPP !!!!!!!
Answer:
first
Step-by-step explanation:
(3;0)
y(3) = 2/3 * 3 - 2 = 0
(0;-2)
y(0) = 2/3 * 0 - 2 = -2
What is the value of f(4) if (x)=3x-10
Answer:
f(4) = 2
Step-by-step explanation:
x = 3(4) - 10
x = 12 - 10
x = 2
log, 2x2 + log, 8 = 4
Kalinda is 68.7 inches tall and wants to know how many inches taller she is than Terrence. If t represents Terrence’s height in inches, which expression can she use to find the answer?
68.7 minus t
StartFraction t Over 68.7 EndFraction
StartFraction 68.7 Over t EndFraction
t minus 68.7
Answer:
68.7 minus t.
Step-by-step explanation:
"How Many Inches Taller She is THAN Terrence."
You would subtract her height by his height. If you were to add the answer you get from 68.7 - t plus Terrences height, you would get how many inches taller she is than him
Answer:
A
Step-by-step explanation:
What is the surface area of this composite solid?
Use 11.3 meters for the slant height of the triangular prism.
Enter your answer in the box.
__m²
Composite made up of a rectangular prism surmounted by a triangular prism. The rectangular prism has dimensions of 16 meters wide by 20 meters long by 12 meters high. The triangular prism has dimensions of 16 meters wide by 20 meters long with a triangular altitude of 8 meters high.
Answer:
1764 m²Step-by-step explanation:
Refer to attached picture.
All given dimensions are given on the picture (not to scale).
Since altitude of the triangle and slant height is given, we can find the base of the triangle using Pythagorean:
[tex]b/2 = \sqrt{11.3^2-8^2} = \sqrt{64} = 8m, \\b = 16 m[/tex]It has 9 faces and the total surface area is:
S = 16*20 + 2(20*12) + 2(20*11.3) + 2(16*12) + 2(1/2*8*16) = 1764 m²Jayna used the distributive property to simplify the expression 4(a + 2) and got(4a + 2). Do you agree with Jayna?
Answer:
No
Step-by-step explanation:
I would not agree with Jayna because using the distributive property, you can get:
4(a + 2) = 4(a) + 4(2) = 4a + 8
Jayna did not get the right answer because she did not distribute the 4 to the 2 in a + 2 and she only multiplied a by 4.
Amy plans to buy a pair of shoes for $78.99 and 2 shirts for $21.98 each. If the sales tax rate is 6%, what is reasonable for her total purchase amount?
Identify an equation in slope-intercept form for the line perpendicular to y = –1/2x + 11 that passes through (4, –8).
Answer:
y = 2x - 16
Step-by-step explanation:
perpendicular lines = have negative-reciprocal slope
slope: -1/2 => negative-reciprocal => 2 ↓ slope
substitute (4, -8) and the slope 2 into the slope-intercept form(y = mx + b) to find b:
=> -8 = 2(4) + b => b = -16
plug in the slope 2 and b = -16 to the slope-intercept form:
y = 2x - 16
Please help! I will give brainliest!
Answer:
the answer is: B thank me later!
Answer:
a.option is the correct answer right