The percentage computed shows that the number of women is 60 while men are 90.
How to calculate percentage?Let the number of women be represented by x.
Since there are are 50% more men than women in the golf club, the number of men will be:
= x + (50% × c)
= x + 0.5x
= 1.5x
Therefore, 1.5x + x = 150
2.5x = 150
x = 150/2.5
x = 60
Number of women = 60
Number of men = 1.5x = 1.5 × 60 = 90
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An observatory is 150 feet high. When a person is standing in the observatory looking at an island, the angle of depression is . What is the approximate horizontal distance from the observatory to the island?
A. 70 feet
B. 166 feet
C. 322 feet
D. 355 feet
Answer:
C
Step-by-step explanation:
We want to find the horizontal distance from the observatory to the island, which is adjacent to the known angle.
Because we also know the height of the observatory and is opposite to the angle, we can consider using tangent. Recall that:
[tex]\displaystyle \tan \theta ^\circ = \frac{\text{opposite}}{\text{adjacent}}[/tex]
Let the horizontal distance be x. Substitute in known values:
[tex]\displaystyle \tan 25^\circ = \frac{150}{x}[/tex]
Solve for x:
[tex]\displaystyle x = \frac{150}{\tan 25^\circ}[/tex]
Use a calculator. Hence:
[tex]x\approx 322\text{ feet}[/tex]
In conclusion, our answer is C.
Answer:
c.322 ft
Step-by-step explanation:
took the test
solve the following inequality |2x-6|<10
Answer:
Absolute Value Inequality entered : |2x-6|<10
Step by step solution :STEP 1:Rearrange this Absolute Value InequalityAbsolute value inequalitiy entered |2x-6| < 10 STEP 2:Clear the
Absolute Value BarsClear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |2x-6| For the Negative case we'll use -(2x-6) For the Positive case we'll use (2x-6) STEP 3:Solve the Negative Case -(2x-6) < 10 Multiply -2x+6 < 10 Rearrange and Add up -2x < 4 Divide both sides by 2 -x < 2 Multiply both sides by (-1) Remember to flip the inequality sign x > -2
Which is the solution for the Negative Case
STEP 4:Solve the Positive Case (2x-6) < 10 Rearrange and Add up 2x < 16 Divide both sides by 2 x < 8 Which is the solution for the Positive Case
STEP 5:Wrap up the solution -2 < x < 8 Solution in Interval Notation (-2,8) Solution on the Number Line
One solution was found : -2 < x < 8
Step-by-step explanation:
mark me brainliest!!
A prism is completely filled with 64 cubes that have edge lengths of 1/2
In
What is the volume of the prism?
Enter your answer in the box.
in3
Answer:
9in³
Step-by-step explanation:
Hope this answers helps you
Managers spend up to 20 hours per week reading emails and one study showed that out of 200 emails,
36 were spam, 144 were irrelevant, and 20 of them were useful. Write the ratio of spam and irrelevant
Email to the total emails in all three ratio forms.
Answer:
36:200 = Spam to Total
144:200 = Irrelevant to Total
20:200 = Useful to Total
Step-by-step explanation:
ahmed is 17 years old and grandmother is 86 years old express ahmed's age age as percentage of his grand
Answer:
17÷86×100%
=0.19×100%
=19%
Christian is 1.35 meters tall. At 10 a.m. , he measures the length of a tree’s shadow to be 38.65 meters. He stands 34.4 meters away from the tree, so that the top of his shadow meets the tip of the tree’s shadow. Find the height of the tree to the nearest hundredth of a meter.
The height of Christian and the height of the tree is a ratio likewise the length of Christian shadow and tree shadow. Therefore, the height of the tree to the nearest hundredth is 1.52 meters.
What is Proportion?Proportion is a mathematical comparison between two numbers. it says that two ratios (or fractions) are equal. Therefore,
Christian height = 1.35 m
Tree shadow = 38.65 meter
Christian shadow = 34.4 meters
Let's establish the proportion to find the height of the tree. Therefore,
let
x = height of the tree
1.35 / x = 34.4 / 38.65
cross multiply
38.65 × 1.35 = 34.4x
x = 52.1775 / 34.4
x = 1.5167877907
x = 1.52 meters
Therefore, The height of the tree is 1.52 meters.
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Answer:
The answer is 1.52.
Step-by-step explanation:
This data set represents the lengths in inches of pieces of ribbon used in a project.
What is the mean of this data set?
{1/4, 1 1/3, 2/3, 1/4, 1/2}
Enter your answer as a fraction in simplest form in the box.
in.
Answer:
3/5
Step-by-step explanation:
made all equivanlent fractions
1/4+4/3+2/3+1/4+1/2
make same denominator
3/12+16/12+8/12+3/12+6/12
add up
36/12 reduces to 3/1
divide by the nu mber of values
(5)
= 3/5
Solution:
The mean formula is:
Sum/Total IntegersUsing the formula:
(1/4 + 4/3 + 2/3 + 1/4 + 1/2)/5Adding/Subtracting like terms:
(2/4 + 6/3 + 1/2)/5Simplifying 2/4:
(1/2 + 2 + 1/2)/5Adding/Subtracting like terms:
=> (1 + 2)/5=> 3/5Thus, the mean is 3/5.
do the lengths 5, 15, 10 make a triangle & why
Answer:
No, they do not
explanation: "The sum of the lengths of any two sides of a triangle must be greater than the length of the third side."
Gerald works at a warehouse that ships products to various grocery stores. He has 230 boxes of oatmeal to ship. If Gerald can place 12 boxes of oatmeal into a crate, what is the minimum number of crates he will need in order to ship every box of oatmeal?
Answer:
20
Step-by-step explanation:
He only can put 12 boxes in 1 crate to ship 230 boxes of oatmeal the least number of crates he can use is 20 because 20 crates would= up to 240 boxes.
He can't do 19 boxes because he is short he would then only have 228 boxes and that is 2 short.
But if he does 20 crates he would be good for what needs and just have 10 more extra.
My calculations.
2 0
1 2
____
4 0
2 0 0
+
_________
2 4 0
This is saying he had 20 crates and use x as number of boxes for example each 1 crate could ship x amount of boxes and x is representing 12 boxes per crate and since he has 20 crates what is 20 x 12= x( the number of boxes total(240 boxes)
I hope this helps have a awesome day:)
Answer:
20 crates
Step-by-step explanation:
Since he has 230 boxes and each crate can have up to 12 boxes, we can divide 230 by 12 to see how many crates will be needed:
[tex]\boxed{\frac{230}{12} }[/tex]
Let's do long division to solve this:
we have the equation 230 ÷ 12
__________
12 | 2 3 0
__0_______
12 | 2 3 0
-0
2 3
__0__1____
12 | 2 3 0
-0
2 3
-1 2
1 1 0
__0__1__9_
12 | 2 3 0
-0
2 3
-1 2
1 1 0
-1 0 8
0 0 2
So, as we can see, the quotient is 19 but we have a remainder of 2, which means that, from the 230 boxes, 228 fits into 19 crates and 2 boxes are left. This means that we will need one extra crate to put these 2 boxes.
So, in total, he will need 20 crates.
[tex]Solved~by~-InLoveWithNature-[/tex]
If you have any queries please ask.
Does (5, 7) make the equation y = x true?
Answer:
x = y the answer is this...
Please help!!!!!!!!!!
Answer:
Write two expressions (with at least two terms each) that when added together have a sum of -4 n + 6.
100 POINTS AND BRAINLIEST
how do you graph y = 3x + 2
Rex has to ride 3 miles on his bike. Each lap around his block is 1/8 mile. Rex wants to figure out how many laps he needs to ride his bike.
Answer:
24 milesStep-by-step explanation:
If each lap is 1/8 of a mile, then we have to do 3x8 to get our answer.
8x3=24
So hence, Rex has to go 24 times around his block to ride his bike for 3 miles.
Thanks!
if the edge of the circle lies four units directly up from the x-axis what is the length of BC? What is the distance from B to D?
By using what we know about circles and distance between points, we will see that:
BD = 18 units
BC = 16.97 units
What is the distance from B to D?
Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
The distance from B to D, will be equal to the distance from B to A, minus the radius of the circle.
Because we know that the center of the circle is at (8, 10), and the edge of the circle is 4 units above the x-axis, we can assume that the closest point on the circle to the x-axis is:
(8, 4)
Then the radius of the circle is given by the distance between these two points:
[tex]r = \sqrt{(8 - 8)^2 + (10 - 4)^2} = 6[/tex]
Now we need to find the distance between A and B.
A = (8, 10)
B = (0, 10 - 16*√2)
The distance between these points is:
[tex]d = \sqrt{(8 - 0)^2 + (10 - 10 + 16*\sqrt{2})^2 } \\\\d = \sqrt{(8)^2 + (16*\sqrt{2})^2 } = 24[/tex]
And the distance from B to D is the distance from B to A, minus the radius of the circle, so we have:
BD = BA - r = 24 - 6 = 18
The distance from B to D is 18 units.
To get the value of BC, we use the fact that this is a cathetus of a right triangle with a hypotenuse of 18 units, and where the other side AC measures 6 units, then we have:
BC^2 + 6^2 = 18^2
BC = √(18^2 - 6^2) = 16.97 units.
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7^x-3=49
can you please help asap thanks
Answer:
x=5
Step-by-step explanation:
7^x-3=49
x-3=2
x=5
A spinner with 8 equally sized slices has 8 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a yellow slice?
Answer: 8/8
Step-by-step explanation:
It's eight yellow slices out of a total of eight slices. So it's impossible to get anything other than yellow.
the area of a square is 80cm find the diagonal line
Answer:
d~~12.65
Step-by-step explanation:
it costs $50 to join a gym plus $28 per month define the variable
Answer:
28
Step-by-step explanation:
because it's value increases by 28 every month
Emily says that a square is always a rectangle. Jenna says a rectangle is always a square. Who is correct and why are they correct?
Answer:
Jenna is right
Step-by-step explanation:
Jenna is right because what makes up a square is its four sides. When calculating the area of a rectangle you use the same formula as you would for a square. A rectangle is just an elongated square.
In which quadrant of the coordinate plane would point (-10, 30 1/2) be located?
Answer:
Second
Step-by-step explanation:
Which statement is true about this equation? -9(x-3)+12=-3(2x+5)-3x
Answer:
Any value of "x" makes the equation true
Step-by-step explanation:
(-∞,∞)
All real numbers
i hope this work for you
Select the correct answer from each drop-down menu.
Rafael wants to construct a square inscribed in a circle. He divides the circle into six equal arcs and then draws line segments between four of the points. What was the first error Rafael made?
The first error Rafael made was
A.Connecting points F and E
B. Dividing the circle in six parts
C. Connecting points B and F
.
A square is constructed by first
A. Drawing a radius
B. Drawing a chord
C Drawing a diameter
.
The square in the circle is an inscribed square
The first error Rafael made was (B) Dividing the circle in six partsA square is constructed by first (c) Drawing a diameterHow to determine Rafael's errorWhen drawing a square in a circle, the diameter of the circle is the first thing that needs to be drawn immediately after drawing the circle.
This means that: the first error Rafael made was dividing the circle in six part and a square is constructed by first drawing a diameter
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Answer:
In the image
Hope this helps!
Step-by-step explanation:
2=x+10/13
i really need help where everything goes
1: 26=x+10, multiplication property of equality
2: 16=x, simplify
3:
4
[tex]6+\sqrt[5]{249-2x} =7[/tex]
Answer: 124
Step-by-step explanation:
First, subtract 6 on both sides to get:
[tex]\sqrt[5]{249-2x} =1[/tex]
Take both sides to the 5th power. The radical will cancel, and the right side will be unchanged:
[tex]249-2x=1[/tex]
Subtract 249 on both sides:
[tex]-2x=-248[/tex]
[tex]2x=248[/tex]
[tex]x=124[/tex]
Answer:
x=124
Step-by-step explanation:
[tex]6+\sqrt[5]{249-2x} =7\\\sqrt[5]{249-2x} =7-6=1\\249-2x=1^5=1\\249-1=2x\\2x=248\\x=\frac{248}{2} =124[/tex]
3x4^2=144 determin if true
Answer:
False
Step-by-step explanation:
By order of operations, in this case, we first have to solve exponents and THEN multiply by 3.
[tex]3*4^2=144[/tex] [tex]3*16=144[/tex] [tex]48\neq 144[/tex]Therefore, this equation is false.
Answer:
False
Step-by-step explanation:
4^2=16
4^2=163x16=48
4^2=163x16=4848=144
4^2=163x16=4848=144The numbers dont match.
4^2=163x16=4848=144The numbers dont match.Hence the equation is false.
I don't know the answer please tell me the correct one
Answer:
See below
Step-by-step explanation:
Radius (r) = 8 inches
Chord = 8 inches
Since, length of radii and chord are equal. Thus the Triangle so formed by radii and chord will be an equilateral triangle.
[tex]\implies [/tex] angle subtended at the centre of the circle [tex](\theta)=60\degree [/tex]
Formula for area of segment of a circle is given as:
[tex]A = \frac{ {r}^{2} \theta }{36 0 \degree} \pi - \frac{1}{2} {r}^{2} \sin \theta \\ \\ \implies \: A = \frac{ {(8)}^{2} ( \cancel{60 \degree)}}{ \cancel{360 \degree}} \pi - \frac{1}{2} {(8)}^{2} \sin 60\degree \\ \\ \implies \: A = \frac {64 }{6} \pi - \frac{1}{2} \times 64 \times \frac{ \sqrt{3} }{2} \\ \\ \implies \: \huge \purple{ \boxed{A = \bigg( \frac {32 }{3} \pi - 16 \sqrt{3}\bigg) }\: sq\:in}[/tex]
Use either point B or point C to find the lengths of the legs and hypoteuse of a right triangle
Answer:
can you show a picture of the problem
the two basic types of methods used to trace and assign product costs are
A. job costing and process costing
B. periodic costing and perpetual costing
C. product costing and materials inventory costing
D. periodic costingand process costing
Answer:
c.) product costing and materials inventory costing.
Step-by-step explanation:
Product costing methods are used to assign a cost to a manufactured product. The main costing methods available are process costing, job costing, direct costing, and throughput costing. Each of these methods applies to different production and decision environments.
Maria earned $60 from babysitting. She donated $6. How much money does Maria donate for every dollar that she earns?
A large plastic bucket is in the shape of a right, circular cylinder with dimensions shown below. If there are volume of this cylinder? 1000 cubic centimeters in a liter and 3.785 liters in a gallon, then which of the following is true about the volume of this cylinder?
The volume of the cylinder is between 5 and 6 gallons.
What is the volume of the cylinder?
A cylinder is a three-dimensional shape that is made up of a prism with a circular base.
Volume of a cylinder = nr^2h
Where:
h = heightn = 22/7r = radius22/7 x 28 x (15^2) = 19,800 cubic centimeters
First convert the volume to liters = 19,800 / 1000 = 19.8
Now convert to gallons = 19.8 / 3.785 = 5.23 gallons
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