Answer:
B: distinct parallel lines
Step-by-step explanation:
find the area of the equilateral triangle.if its perimeter is 24cm
Answer:
16√3 cm²
Step-by-step explanation:
The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.
Let's consider one side of the triangle to be 'x'
Givent that, the perimeter is 24cm,
The equation should be x + x + x = 24
⇒3x = 24
∴ x = 8 cm
To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.
Since it is an equilateral triangle, all angles are exact 60°.
let's draw a line and mark it as 'h'.
we can use sine formula to find out the opposite i.e. h
sin∅ = opposite ÷ hypotaneous
sin 60° = h ÷ 8
h = 8 sin 60°
h= 4√3
Now, let's find the area
Area = 1/2 × base × height
Area = 1/2 × 8 × 4√3
area= 16√3 cm²
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles. How many caramel apples are covered with sprinkles
Answer:
20 caramel apples are covered with sprinkles
Step-by-step explanation:
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. 1/5 of caramel apples are covered with peanuts. 1/3 are covered with chocolate chips. 3/10 are covered with coconut. The rest are covered with sprinkles.
Let the Total fraction of caramel apples = 1
1 = 1/5 + 1/3 + 3/10 + caramel apples covered in sprinkles
Fraction of caramel apples covered in sprinkles = 1 - (1/5 + 1/3 + 3/10 )
LCM of denominator = 30
= 1 - (6 + 10 + 9/30)
= 1 - 25/30
= 5/30
= 1/6
How many caramel apples are covered with sprinkles
This is calculated as :
Fraction of caramel apples covered in sprinkles × Total number of caramel apples
= 1/6 × 120
= 20 caramel apples covered in sprinkles.
Select the correct answer from each drop-down menu. James needs to clock a minimum of 9 hours per day at work. The data set records his daily work hours, which vary between 9 hours and 12 hours, for a certain number of days. {9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12}. The median number of hours James worked is . The skew of the distribution is .
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
{9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12}
The median of the distribution can be found using the formula :
Median = 0.5(n + 1) th term
n = number of terms = 12
Median = 0.5(12 + 1) th term
Median = 0.5(13)th term = 6.5th term
Select the 6th and 7th term = 11, 11
(11 + 11) /2 = 22/2 = 11
Hence, the median = 11
The distribution is negatively skewed, This was inferred from the shape of a distribution having a long shape positioned on the left side of the distribution.
The peak values are the 8th, 9rh and 10th values with only two values below in the right direction with the majority on the left.
Answer:
The median number of hours James worked is 10 . The skew of the distribution is negative .
Step-by-step explanation:
Amanda's book bag is 0.10. Some of Amanda's pens are removed and replaced with pink pens. Her book bag still contains a total of 20 pens. If the probability of choosing a pink pen is close to 1, how many pink pens would you expect to see in Amanda's bag?
Answer:
The number of pink pens can be 19 .
Step-by-step explanation:
Total Number of pens = 20
Let x be the number of pink pens
We are supposed to find If the probability of choosing a pink pen is close to 1, how many pink pens would you expect to see in Amanda's bag
Probability of choosing a pink pen = [tex]\frac{\text{Number of pink pens}}{\text{Total Number of pens}}[/tex]
Probability of choosing a pink pen =[tex]\frac{x}{20}[/tex]
ATQ
[tex]\frac{x}{20}[/tex]≈1
x≈20
So, the number of pink pens can be 19 .
Help me pleaseeeeeeeeeeeee
Answer:
b
Step-by-step explanation:
Answer: B
Explanation there is nothing for me to explain
Hi! I've been stuck on this for awhile although it seems so easy I can't get by it :/
Answer:
x > -17/6 or x < -1/2
Step-by-step explanation:
4 |3x + 5| + 20 > 6
4 |3x + 5| > -14
|3x + 5| > -14/4
This is where the two equations split.
+:
3x + 5 > -14/4
3x > -17/4
x > -17/6
-:
- (3x + 5) > -14/4
3x + 5 < 14/4
3x < -3/2
x < -1/2
Supposedly these are your answers, but if I'm incorrect, please let me know. I don't see an option for you on that picture though.
6 lumberjacks can cut down 15 mahogany trees in 2 hours. How much longer will
it take 8 lumberjacks to cut down 35 mahogany trees working at the same rate?
B. 1}hr
c.hr
A. 3hr
D. 21hr
9514 1404 393
Answer:
3.5 hr
Step-by-step explanation:
We assume that "the same rate" means effort per tree is a constant. "Effort" is measured as the product of lumberjacks and hours. Then ...
(lumberjacks)(hours)/trees = (6)(2)/15 = (8)(t)/35
Multiplying by 35/8, we have ...
(35/8)(12/15) = t = (3·4·5·7)/(2·3·4·5) = 7/2 = 3.5
It will take 8 lumberjacks 3.5 hours to cut down 35 trees.
Can anyone help with this one ?
Answer:
1. 35 2. 145 3. 35 4. 90 5. 145
Step-by-step explanation:
Find the reciprocal.
12
Answer:
1/12
Step-by-step explanation:
finding recirocal is basically turning your number into 1. so 12 times 1/12 equals 1.
The reciprocal of 12 is 1/12.
Hope this helps! :)
An archer is shooting at targets. The height of the arrow is 5 feet above the ground. Due to safety rules, the archer much aim the arrow parallel to the ground.
How long does it take for the arrow to hit a target that is 3 feet above the ground? Round your answer to the nearest hundredth.
Answer:
The time it takes to hit a target that is 3 feet above ground is approximately 0.35 seconds
Step-by-step explanation:
The given parameters are;
The height of the arrow above the ground = 5 ft.
The height of the target above the ground = 3 ft.
The time it takes the arrow to fall to 3 ft. from 5 ft. above the ground is given by the free fall formula, since the arrow has no vertical velocity component
The equation for free fall is h = 1/2·g·t²
Where;
h = The height of fall = 5 - 3 = 2 feet
g = The acceleration due to gravity = 32.17405 ft/s²
t = How long it takes to fall (to its target)
∴ 2 = 1/2 × 32.17405 × t²
t² = 2/(1/2 × 32.17405) ≈ 0.1243
t = √0.1243 ≈ 0.353
t = 0.35 seconds, to the nearest hundredth
Therefore, the time it takes to fall 2 ft to hit a target that is 3 feet above ground = 0.35 seconds.
The time to hit the target is simply the period the arrow gets to the target from the arch.
The time to hit the target is 0.35 seconds
The height of a parabola is calculated as:
[tex]\mathbf{h = \frac{1}{2}gt^2}[/tex]
Where:
[tex]\mathbf{h =5 - 3 = 2}[/tex] --- the difference between the height of the arrow and the height of the target.
[tex]\mathbf{g = 32.2 fts^{-2}}[/tex] --- acceleration due to gravity
So, we have:
[tex]\mathbf{2 = \frac{1}{2} \times 32.2 \times t^2}[/tex]
Multiply both sides by 2
[tex]\mathbf{4 = 32.2 \times t^2}[/tex]
Divide both sides by 32.2
[tex]\mathbf{0.124 = t^2}[/tex]
Take square roots
[tex]\mathbf{0.35 = t}[/tex]
Rewrite as:
[tex]\mathbf{t = 0.35s}[/tex]
Hence, the time to hit the target is 0.35 seconds
Read more about rates and time at:
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PLEASE ANSWER BOTH QUICK
Answer:
1.C
2.A
Step-by-step explanation:
dude trust me
Which expression is equivalent to [4h^7k^2]^4?
Answer:
614656h²⁸k⁸
Step-by-step explanation:
Exponent Power Rule: [tex](b^m)^n=b^{mn}[/tex]
Step 1: Write expression
[4h⁷7k²]⁴
Step 2: Distribute power 4 to each term
4⁴h⁷⁽⁴⁾7⁴k²⁽⁴⁾
Step 3: Simplify
256h⁷⁽⁴⁾2401k²⁽⁴⁾
614656h⁷⁽⁴⁾k²⁽⁴⁾
Step 4: Use Exponent Rule
614656h²⁸k⁸
What is the value of x in the proportion?
9/12=12/x
Answer:0.75
Step-by-step explanation:
Help step by step plz :)
Answer:
182i2j3jdii32i3i38839393838383383 yan yung sagot pasalamat ka nalang mamaya
Step-by-step explanation:
hakdog ses dog
Hannah likes candy. She wants to purchase some candies all varieties of candy are $4.20 each. Hannah buys one mango candy and one apple candy. Write an expression that represents the total cost,t,of the candy if m represents the number of mango candies and a represents the number of apple candies
Answer: 4.20(2)
Step-by-step explanation:
What is the distance between 9 and 11?
Answer:
2
Step-by-step explanation:
11-9 is 2
PLS HELP ME ASAP!!!!!!!!
Answer:
All of the above
Step-by-step explanation:
because all are correct
4
The temperature at 6:00 P.M. is 70°F. The
temperature will drop 6°F each hour. Write an
equation in slope-intercept form that models the
temperature in y degrees Fahrenheit after
x hours.
O A y= 70x – 6
B y = 6x - 70
Oc y=-6x – 70
OD y=-6x + 70
Answer:
Step-by-step explanation:
D
(5b+6)°
(4b-6)°
answer B=
Answer:
B = 10
Step-by-step explanation:
5B + 6 + 4B - 6 = 90
9B + 0 = 90
Therefore, B = 10
what is the slope of a line that passes through 5,15 and 6,11?
Answer:
slope is -4, equation is y= -4x + 35
Step-by-step explanation:
11-15
______
6-5
-4
____
1
11 = -4(6) + b
b = 35
if y= 2x - 3, find the value of y when x=2
Answer:
y=1
Step-by-step explanation:
Plug in 2 for x in the original equation, this gives you y=2(2)-3. 2(2)=4 and 4-3=1 therefore y=1.
Michael earns $12.50 per hour. Which equation describes this statement?
y=25x
y=12x
y=0.5x
y=12.5x
Answer: y= 12.5x
Step-by-step explanation:
The last equation describes this statement because if he earns 12.50 per hour the y will be the amount he earns in x hours. For every hour, the money will go up by $12.50.
When rounding to the nearest tenth, which of the numbers below will round to 78.5? Select all that
apply.
A) 78.405
B) 79.4
C) 78.48
D) 78.51
E) 78.54
Answer:
Step-by-step explanation:
The answer is because when rounding it should be b
if 12x+8 is less than 6,what is the value of 8x
[tex]\frac{x^{2} }{3x^{2}+8x-3 } divided \frac{x-3}{x+2}[/tex]
Answer:
ddsdvffgdf gddccd fddf
A cannery processed 785 pounds of strawberries in 5.5 hours. The cannery processed 1550 pounds in 10 hours. Write a linear equation to model the relationship between the weight of strawberries S and time T. How many pounds of strawberries can be processed in 8 hours?
The Equation is s = 170 t - 150 and 1210 pounds of strawberries can be processed in 8 hours.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
A cannery processed 785 pounds of strawberries in 5.5 hours.
and, The cannery processed 1550 pounds in 10 hours.
let S be weight of strawberries and T be the Time.
So,
slope = (1550 - 785) / (10 - 5.5)
= 170
Using slope- intercept form
y = mx + b
1550 = 170 (10) + b
b= -150
Then, y = 170 x - 150
and the equation is s = 170 t - 150
At t= 8 hour
s= 170x 8 - 150
s = 1210 pound.
Learn more about slope here:
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What is the length of side A, in centimeters, on the enlarged trapezoid?
4
6
12
20
Answer:
C
Step-by-step explanation:
given the fact that the other side measures all multiply by 4 when they are enlarged in the second shape, we know that the scale factor is 4. 3 enlarged by a scale factor of 4 = 12
An active horse can eat up to 9 pounds of food for every 300 pounds of body weight each day. At this rate, how much does an active horse weight if he eats 36 pounds of food every day pls helpp pls
Answer:
I believe its 1,200 pounds.
Step-by-step explanation:
9 × 4 = 36 so youd multiply 300 by 4 as well. I'm not sure but I think this is correct.
What is the equation of the line that passes throligh the point (-6, 6) and has a
slope of -5/3
Answer:
y = -1 2/3x - 4
Step-by-step explanation:
y = mx + b
Replace numbers with the corresponding variables
6 = -5/3 * -6 + b
6 = 10 + b
-4 = b
y = -1 2/3x - 4
Let me know if something's wrong :)
Can a decimal that has repeating digits after the decimal point be converted into a fraction? It depends on what the digits are that repeat. It depends on the number of digits that repeat. No, because the decimal is irrational, and no irrational numbers can be converted to fractions. Yes, because the decimal is rational, and all rational numbers can be converted to fractions.
Answer:
It depends on what digits repeat
Step-by-step explanation:
A decimal with repeating digits after the decimal point can be converted to a fraction depending on the digits after the decimal point.
For example, let’s have 4/3
When we evaluate this using a calculator, we can see that we have recurring 3 after the decimal point
So 4/3 is actually 1.3333333333333
We can see that based on the number after the decimal point we can convert this to 4/3
Answer
It depends on what digits repeat
Step-by-step explanation:
I hope this helps!