ASAP The tee for the fourth hole on a golf course is 300 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answers
Answer:
C. 97.5 yd
Step-by-step explanation:
The distance between Marsha, the ball and the tee for the fourth hole, forms a triangle.
Thus, the distance between Marsha's ball and the hole can be calculated using the Cosine formula below:
c² = a² + b² - 2abcos(C)
Where,
c = distance between Marsha's ball and the hole = ?
a = distance between the tee for the fourth hole and the tee = 300 yd
b = distance between tee and the hole = 255 yd
C = 18°
c² = 300² + 255² - 2(300)(255)cos(18)
c² = 90000 + 65025 - 153000 × 0.951
c² = 155025 - 145503
c² = 9522
c = √9522 ≈ 97.5
c = distance between Marsha’s ball and the hole = 97.5 yd (nearest tenth)
Related Questions
HELPPP PLZZZZZZZZZZZZZ
Answers
Answer:
c) Seagull, crow
Explanation:
As seagull and crow are both birds and can fly, both of them are in A and B.
Hope it helps ya.
Need help ASAP thank you
Answers
Answer:
A. Volume = 462 cm³; Surface Area = 458 cm²
B. Volume
C. Surface area
Step-by-step explanation:
A. Given a rectangular box:
[tex] Width (w) = 3 cm [/tex]
[tex] Height (h) = 14 cm [/tex]
[tex] length (l) = 11 cm [/tex]
=>Volume of the juice box
[tex] Volume (V) = whl [/tex]
[tex] Volume (V) = 3*14*11 [/tex]
[tex] = 3*14*11 = 462 [/tex]
Volume of juice box = 462 cm³
=>Surface area (S.A) of juice box:
[tex] S.A = 2(wl + hl + hw) [/tex]
[tex] S.A = 2(3*11 + 14*11 + 14*3) [/tex]
[tex] S.A = 2(33 + 154 + 42) [/tex]
[tex] S.A = 2(229) [/tex]
[tex] S.A = 458 cm^2 [/tex]
Surface area of juice box = 458 cm²
B. Volume would be used to find the amount of juice the box can hold
C. Surface area would be used to know how much wax to buy to use in coating the box.
The number of vertices a triangle has
3
6
4
5
Answers
PLEASE HELP The equation of the line below is: y = -4x + 4. y = -2x + 4. y = 2x + 4. None of these choices are correct.
Answers
Answer:
y = 2x+4
Step-by-step explanation:
The y intercept ( where it crosses the y axis ) is 4
The slope is positive because the line goes up from the bottom left to top right
We pick two point ( -2,0) and ( 0,4)
The slope is found by
m= (y2-y1)/(x2-x1)
= ( 4-0)/(0- -2)
= 4/ (0+2)
= 4/2
= 2
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 2x+4
Answer:
The equation to this line is y=-4x+4
Step-by-step explanation:
If you look at the graph you can see that the y intercept is 4.
To find the slope take two points on the graph and plug it into be y2-y1/x2-x1
I chose (0,-2) and (-1,2) So 2+2=4 and -1-0= -1 so 4/-1= -4
Find the value of x in the data given below if the mean is 2. The values are 2, 4, 1, 1, x, 3, 2
Answers
Answer:
[tex]\boxed{x=1}[/tex]
Step-by-step explanation:
[tex]mean=\frac{sum \: of \: terms}{number \: of \: terms}[/tex]
[tex]2=\frac{2+4+1+1+x+3+2}{7}[/tex]
[tex]2=\frac{13+x}{7}[/tex]
[tex]14=13+x[/tex]
[tex]x=1[/tex]
What is the real interest rate if the nominal interest rate is 1 when the rate of inflation is 2
Answers
Answer:
Real interest rate = -1%
Step-by-step explanation:
Real interest rate=Nominal interest rate - inflation rate
From the above,
Nominal interest rate=1%
Inflation rate=2%
Real interest rate=Nominal interest rate - inflation rate
=1% - 2%
= -1%
Real interest rate = -1%
Real interest rate shows you what it really costs borrowers to pay back their loans.
if the real interest rate is greater than zero, the amount you pay back is worth more in real terms than the money you borrowed.
if the real interest rate is below zero as in the above case, the amount you will pay back is less worth in real terms than the money you borrowed.
The following is the student's grades for a certain class
(left : grades, right : frequency)
determine :
a.) how many students have grades that are above than 73,5
b) how many students have grades that are below 75
Answers
Answer:
a) 20 students
b) 20 students
Step-by-step explanation:
a) From the given frequency table, we have to check the number of students that scored above 73.5 and add them up.
Therefore, the number of students that have grades above 73.5 are:
14 + 4 + 2 = 20 students
b) 75 falls in between 74 - 76 and we do not have the individual frequencies of the grades (74, 75, 76).
However, we can use the data we have from the table to make an assumption.
The number of students that have grades below 75 will be:
13 + 5 + 2 = 20 students
n Fill in the blank. The _______ for a procedure consists of all possible simple events or all outcomes that cannot be broken down any further. The (1) for a procedure consists of all possible simple events or all outcomes that cannot be broken down any further.
Answers
Answer: sample space
Step-by-step explanation: In determining the probability of a certain event occurring or obtaining a particular outcome from a set of different possible outcomes, such as in the toss of coin(s), rolling of fair die(s), the sample space comes in very handy as it provides a simple breakdown and segmentation of all possible events or outcomes such that in Calculating the probability of occurrence of a certain event, the event(s) is/are located in the sample space and the ratio taken over the total number of events.
Ten turns of a wire are helically wrapped around a cylindrical tube with outside circumference 4 inches and length 9 inches. The ends of the wire coincide with ends of the same cylindrical element. Find the length of the wire. (a) 41 inches (b)36 inches (c) 40 inches (d) 90 inches
Answers
Answer:
b) 36 inches
Step-by-step explanation:
Length of the wire = Outside circumference of the cylindrical tube * length of the cylinder
= 4 * 9
= 36 inches
Length of the wire will be same to the surface area of the cylinder
Surface area of cylinder = circumference * length
Lucy is going to invest in an account paying an interest rate of 7% compounded daily. How much would Lucy need to invest, to the nearest dollar, for the value of the account to reach $84,000 in 6 years?
Answers
Answer:
Lucy needs to invest $55,194.16
Step-by-step explanation:
The given information are;
The interest rate of the account = 7% compounded daily
The amount at the end of 6 years = $84,000
The time duration = 6 years
The amount Lucy
The formula for compound interest is
[tex]A(t) = P \times \left ( 1 + \dfrac{r}{n} \right )^{n \times t}[/tex]
Where;
r = The interest rate = 7% = 0.07
n = The number of times a year = 365
t = The number years = 6 years
A(t) = The amount after 6 years = $84,000
P = The initial amount invested
Therefore, we have;
[tex]\$ 84,000 = P \times \left ( 1 + \dfrac{0.07}{365} \right )^{365 \times 6}[/tex]
[tex]P = \dfrac{\$84,000}{\left ( 1 + \dfrac{0.07}{365} \right )^{365 \times 6}} =\dfrac{\$84,000}{1.522} = \$55,194.16[/tex]
Therefore, Lucy needs to invest $55,194.16.
can someone please tell me what is 100% of 45
Answers
Answer:
45.
Step-by-step explanation:
100% of a number is the number itself. So, 100% of 45 is 45.
Hope this helps!
Answer:it’s 45
Step-by-step explanation:It’s just the whole number nothing less:)
How would 7/2 be written as a complex number
Answers
Answer:
We could rewrite 7/2 as 7a + 2
Step-by-step explanation:
Complex numbers is when real numbers [i.e: 1, 1/2, 200, 5/7, etc..) and an imaginary numbers [numbers that give a negative result when squared] are combine together.
(OFFERING ALL THE POINTS I HAVE) Word Problem. Please help!! Part 1 of problem: The main tank has a radius of 70 feet. What is the volume of the quarter-sphere sized tank? Round your answer to the nearest whole number and use 3.14 for Pi. (Use sphere volume formula) Part 2: The theme park company is building a scale model of the killer whale stadium main show tank for an investor's presentation. Each dimension will be made 6 times smaller to accommodate the mock-up in the presentation room. How many times smaller than the actual volume is the volume of the mock-up? Part 3: Using the information from part 2, answer the following question by filling in the blank: The volume of the actual tank is __% of the mock-up of the tank.
Answers
Answer:
Part 1: 359,007 ft³
Part 2: 216 times smaller
Part 3: 21600%
Step-by-step explanation:
Part 1:
The parameters for the tank are;
The radius of the tank = 70 feet
The volume of a sphere = 4/3·π·r³
Therefore, the volume of a quarter sphere = 1/4×The volume of a sphere
The volume of a quarter sphere = 1/4×4/3·π·r³ = π·r³/3
Plugging in the value for the radius gives
Volume = π×70³/3 = 114,333.33×3.14 = 359,006.7≈ 359,007 ft³.
Part 2:
The dimension of the scale model = 1/6 × Actual dimension
Therefore, we have the radius of the sphere of the scale model = 1/6 × 70
Which gives;
The radius of the sphere of the scale model = 35/3 = 11.67 feet
The volume of the scale model = π·r³/3 = (3.14×11.67³)/3 = 1662.07 ≈ 1662 ft³
The number of times smaller the scale model is than the actual volume = (Actual volume)/(Scale model) = (359,007 ft³)/(1662 ft³) = 216 times
The number of times smaller the scale model is than the actual volume = 216 times = (1/Scale of model)³ = (1/(1/6))³ = 6³.
Part 3:
The percentage of the mock-up, x, to the volume of the actual tank is given as follows
x/100 × 1662 = 359,007
∴ x = 216 × 100 = 21600%
The percentage of the mock-up, to the volume of the actual tank is 21600%.
Answer:
Part 1: 359,007 ft³
Part 2: 216 times smaller
Part 3: 21600%
Step-by-step explanation:
Part 1:
The parameters for the tank are;
The radius of the tank = 70 feet
The volume of a sphere = 4/3·π·r³
Therefore, the volume of a quarter sphere = 1/4×The volume of a sphere
The volume of a quarter sphere = 1/4×4/3·π·r³ = π·r³/3
Plugging in the value for the radius gives
Volume = π×70³/3 = 114,333.33×3.14 = 359,006.7≈ 359,007 ft³.
Part 2:
The dimension of the scale model = 1/6 × Actual dimension
Therefore, we have the radius of the sphere of the scale model = 1/6 × 70
Which gives;
The radius of the sphere of the scale model = 35/3 = 11.67 feet
The volume of the scale model = π·r³/3 = (3.14×11.67³)/3 = 1662.07 ≈ 1662 ft³
The number of times smaller the scale model is than the actual volume = (Actual volume)/(Scale model) = (359,007 ft³)/(1662 ft³) = 216 times
The number of times smaller the scale model is than the actual volume = 216 times = (1/Scale of model)³ = (1/(1/6))³ = 6³.
Part 3:
The percentage of the mock-up, x, to the volume of the actual tank is given as follows
x/100 × 1662 = 359,007
∴ x = 216 × 100 = 21600%
The percentage of the mock-up, to the volume of the actual tank is 21600%.
A tank contains 8000 liters of a solution that is 40% acid. How much water should be added to make a solution that is 30% acid?
Answers
Answer:
2,666.67 L of water
Step-by-step explanation:
Solve for W:
1) 3200 = 2400 + 0.3w
2) 800 = 0.3w
Divide both sides by 0.3 to get the variable alone
3) (800)/0.3 = (0.3w)/0.3
4) w = 2,666.67 L
What the answer question
Answers
Answer:
[tex]\bold{A_{_{\Delta XYZ}}=927.5\ cm^2}[/tex]
Step-by-step explanation:
m∠Z = 180° - 118° - 28° = 34°
[tex]\sin(28^o)\approx0.4695\\\\\sin(118^o)=\sin(180^o-62^o)=\sin62^o\approx0.8829 \\\\\sin(34^o)\approx0.5592\\\\[/tex]
[tex]\dfrac{\overline{XY}}{\sin Z}=\dfrac{\overline{YZ}}{\sin X}\\\\\\\overline{XY}=\dfrac{\overline{YZ}}{\sin X}\cdot\sin Z\\\\\\\overline{XY}=\dfrac{42}{0.4695}\cdot0.5592\\\\\overline{XZ}=50.024281...\\\\\\A_{_{\Delta XYZ}}=\frac12\cdot\overline{XY}\cdot\overline{YZ}\cdot\sin(\angle Z)\\\\\\A_{_{\Delta XYZ}}\approx\frac12\cdot50.0243\cdot42\cdot0.8829=927.4955...\approx927.5[/tex]
Your brother has a bag of marbles. He has 8 green marbles, 3 blue marbles, 7 red marbles, and 2 yellow marbles. What is the ratio of blue marbles to green and red marbles? Choose the answer that is a simplified unit rate. a 1 : 5 b 3 : 15 c 5 : 1 d 15 : 3
Answers
Answer:
a 1 : 5
Step-by-step explanation:
Blue mables: 3
green and red marbles: 8 + 7 = 15
then, the radio blue:(green+red) is:
3 : 15
simplified unit rate is:
3/3 = 1
15/3 = 5
then:
3:15
is equal to:
1:5
Answer:
a 1 : 5
1. The total area within any continuous probability distribution is equal to 1.00.
A. True
B. False
2. For any continuous probability distribution, the probability, P(x), of any value of the random variable, X, can be computed.
A. True
B. False
3. For any discrete probability distribution, the probability, P(x), of any value of the random variable, X, can be computed.
A. True
B. False
Answers
Answer:
1. True
2. False.
3. True.
Step-by-step explanation:
1. The total area within any continuous probability distribution is equal to 1.00: it is true because the maximum probability (value) is one (1), therefore, the total (maximum) area is also one (1).
Hence, for continuous probability distribution: probability = area.
2. For any continuous probability distribution, the probability, P(x), of any value of the random variable, X, can be computed: False because it has an infinite number of possible values, which can not be counted or uncountable.
Hence, it cannot be computed.
3. For any discrete probability distribution, the probability, P(x), of any value of the random variable, X, can be computed: True because it has a finite number of possible values, which are countable or can be counted.
Hence, it can be computed.
what's the value? A.-20 B.-4 C.4 D.20
Answers
Answer:
-4Option B is the correct option.
Step-by-step explanation:
[tex] {(4 - 2)}^{3} - 3 \times 4[/tex]
Subtract the numbers
[tex] = {(2)}^{3 } - 3 \times 4[/tex]
Multiply the numbers
[tex] = {(2)}^{3} - 12[/tex]
Evaluate the power
[tex] = 8 - 12[/tex]
Calculate the difference
[tex] = - 4[/tex]
Hope this helps..
Best regards!!
Answer:
[tex]\boxed{-4}[/tex]
Step-by-step explanation:
[tex](4-2)^3-3 \times 4[/tex]
Brackets or parenthesis are to be evaluated first. Subtract the numbers in the brackets.
[tex](2)^3-3 \times 4[/tex]
Evaluate the power or exponent.
[tex]8-3 \times 4[/tex]
Multiply the numbers.
[tex]8-12[/tex]
Finally, subtract the numbers.
[tex]=-4[/tex]
C equal 3x - 2 of x=5 than what does c equal
Answers
Answer:
i need help this too
Step-by-step explanation:
Answer:
13Step-by-step explanation:
Given,
x = 5
Now, let's find the value of C
[tex]c = 3x - 2[/tex]
plug the value of x
[tex] = 3 \times 5 - 2[/tex]
Multiply the numbers
[tex] = 15 - 2[/tex]
Calculate the difference
[tex] = 13[/tex]
Hope this helps..
Best regards!!
Choose the equation that is equivalent to the equation shown below. y = 2x + 4a/6b A. x = 2x - 3by B. c = ax-by/z C. b = 6y/2x+4a D. a = 3by-x/2
Answers
Answer:
Step-by-step explanation:
y = 2x + 4a/6b y=(12xb+4b )/6b
6yb=12x+4a
a=(-12xb+6yb)/4=
a=3yb/2 -3xb
x=y/2-a/3b
b=2a/(3y-6x)
the solution is for every variable
10.Given the following, including the fact
that ∠ABC and ∠CBD are supplementary,
what is the value of m ∠ABC and m ∠ABC?
m ∠DBC=x−10
m ∠ABC=x+30.
Answers
Answer:
m ∠DBC=80−10=70
m ∠ABC=80+30=110
Step-by-step explanation:
m ∠DBC+m ∠ABC=180
( x−10)+(x+30.)=180
2x+20=180
2x=180-20
2x=160
x=80
>>m ∠DBC=80−10=70
>>m ∠ABC=80+30=110
Answer:
[tex]\boxed{<DBC = 70 degrees}\\\boxed{<ABC = 110 degrees}[/tex]
Step-by-step explanation:
∠ABC and ∠DBC are supplementary which means that the sum of these two angles is equal to 180.
∠ABC + ∠DBC = 180
Given that: ∠ABC = x+30 and ∠DBC = x - 10
So,
=> x+30+x-10 = 180
=> 2x+20 = 180
=> 2x = 180-20
=> 2x = 160
Dividing both sides by 2
=> x = 80
Now, Finding measures of the angles.
=> ∠DBC = x-10 = 80-10 = 70 degrees
=> ∠ABC = x+30 =80+30 = 110 degrees
Solve –|2x+3|=1 for x it might have more than one answer
Answers
Logically speaking, absolute value returns an output that is zero or positive.
Rearranging the equation gives:
|2x + 3| = -1
No matter what we substitute, we cannot get a negative number after applying the absolute value.
Therefore, the expression is undefined.
what is the explicit formula for this sequence ?
Answers
Answer:
B
Step-by-step explanation:
common difference is 3
explicit formula is
first term + ( n-1 ) * common difference
= -7 + ( n-1) * 3
evaluate:
(5-6)^2 x (4+3)
Answers
Answer:
7
Step-by-step explanation:
( -1 ) ^ 2 = 1 * ( 4 + 3 ) 1 * ( 4 + 3 ) = 71 * 7 = 7i Hope this helps
Answer:
7Step-by-step explanation:
[tex] {(5 - 6)}^{2} \times (4 + 3)[/tex]
Calculate the difference
[tex] = {( - 1)}^{2} \times (4 + 3)[/tex]
Add the numbers
[tex] = {( - 1)}^{2} \times 7[/tex]
Evaluate the power
[tex] = 1 \times 7[/tex]
Any expression multiplied by 1 remains the same
[tex] = 7[/tex]
Hope this helps...
Best regards!!
HALP !Find the next term of the series: -3 + -1 + 1 + ...
Answers
Answer:
3
Step-by-step explanation:
We are adding 2 each time
-3 +2 = -1
-1 +2 = 1
To get the next term add 2
1 +2 = 3
Answer: 3
Step-by-step explanation:
there are 48 members in a dancing club. the ratio of boys to girls in the club is 3:5 how many boys should join the club for the ratio of boys to girls to be 1:1
Answers
Explanation:
Find the girls:
48 x 5/8 = 30 girls
Find the boys:
48 x 3/8 = 18
In order for ratio to be 1:1 the amount of boys need to be equal to the girls:
18 + x = 30
x = 12
x = the amount of boys need to join to make the ratio 1:1
Answer:
12
Step-by-step explanation:
If you add the ratio you will get 8 and 1 in the ratio number represents
6 people so 5-3=2
Therefore, the no. of girls minus boys= 6×2=12
so you need 12 more boys to make it to be a ratio of 1:1
PLEASE ANSWER SOON! I WILL MARK BRAINLIEST! THANK YOU!
The ratio of the measures of the acute angles of a right triangle is 8:1. In degrees, what is the measure of the largest angle of the triangle?
Answers
Answer:
80°
Step-by-step explanation:
The sum of the measures of the acute angles in a right triangle is 90°. The sum of ratio measures in the ratio 8 : 1 is (8+1) = 9. Thus, each of those measures stands for 90°/9 = 10°. Then the angle ratio is ...
80° : 10° = 8 : 1
The measure of the largest acute angle in the triangle is ...
10° × 8 = 80°
do these problems and get 100 points 1. Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality. c 22 and 15 2 Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality. d 13.2 and 6.7 3 Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality. e 34 and 12 4 Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality. f 23 and 44
Answers
Answer:
[tex]7 < x < 37[/tex] -- Triangle 1
[tex]6.5 < x < 19.9[/tex] -- Triangle 2
[tex]22 < x < 46[/tex] -- Triangle 3
[tex]21 < x < 67[/tex] -- Triangle 4
Step-by-Step Explanation:
Given
2 sides of a triangle
1. 22 and 15
2. 13.2 and 6.7
3. 34 and 12
4. 23 and 44
Required
Determine the range of the third side in the above triangles
Triangle 1: 22 and 15
Represent the third side with x
We'll make use of the following conditions to calculate the range of the third side;
[tex]22 + x > 15[/tex]
[tex]22 + 15 > x[/tex]
[tex]15 + x > 22[/tex]
Solving
[tex]22 + x > 15[/tex]
Make x the subject of formula
[tex]x > 15 - 22[/tex]
[tex]x > -7[/tex]
Solving
[tex]22 + 15 > x[/tex]
[tex]37 > x[/tex]
Solving
[tex]15 + x > 22[/tex]
Make x the subject of formula
[tex]x > 22 - 15[/tex]
[tex]x > 7[/tex]
The next step is to dismiss the inequality with negative digit; So, we're left with
[tex]37 > x[/tex] and [tex]x > 7[/tex]
Rewrite both inequalities
[tex]x < 37[/tex] and [tex]7 < x[/tex]
Combine the two inequalities
[tex]7 < x < 37[/tex]
Triangle 2: 13.2 and 6.7
Represent the third side with x
We'll make use of the following conditions to calculate the range of the third side;
[tex]13.2 + x > 6.7[/tex]
[tex]13.2 + 6.7 > x[/tex]
[tex]6.7 + x > 13.2[/tex]
Solving
[tex]13.2 + x > 6.7[/tex]
Make x the subject of formula
[tex]x > 6.7 - 13.2[/tex]
[tex]x > -6.5[/tex]
Solving
[tex]13.2 + 6.7 > x[/tex]
[tex]19.9 > x[/tex]
Solving
[tex]6.7 + x > 13.2[/tex]
Make x the subject of formula
[tex]x > 13.2 - 6.7[/tex]
[tex]x > 6.5[/tex]
The next step is to dismiss the inequality with negative digit; So, we're left with
[tex]19.9 > x[/tex] and [tex]x > 6.5[/tex]
Rewrite both inequalities
[tex]x < 19.9[/tex] and [tex]6.5 < x[/tex]
Combine the two inequalities
[tex]6.5 < x < 19.9[/tex]
Triangle 3: 34 and 12
Represent the third side with x
We'll make use of the following conditions to calculate the range of the third side;
[tex]34 + x > 12[/tex]
[tex]34 + 12 > x[/tex]
[tex]12 + x > 34[/tex]
Solving
[tex]34 + x > 12[/tex]
Make x the subject of formula
[tex]x > 12 - 34[/tex]
[tex]x > -22[/tex]
Solving
[tex]34 + 12 > x[/tex]
[tex]46 > x[/tex]
Solving
[tex]12 + x > 34[/tex]
Make x the subject of formula
[tex]x > 34 - 12[/tex]
[tex]x > 22[/tex]
The next step is to dismiss the inequality with negative digit; So, we're left with
[tex]46 > x[/tex] and [tex]x > 22[/tex]
Rewrite both inequalities
[tex]x < 46[/tex] and [tex]22 < x[/tex]
Combine the two inequalities
[tex]22 < x < 46[/tex]
Triangle 4: 23 and 44
Represent the third side with x
We'll make use of the following conditions to calculate the range of the third side;
[tex]23 + x > 44[/tex]
[tex]23 + 44 > x[/tex]
[tex]23 + x > 44[/tex]
Solving
[tex]23 + x > 44[/tex]
Make x the subject of formula
[tex]x > 23 - 44[/tex]
[tex]x > -21[/tex]
Solving
[tex]23 + 44 > x[/tex]
[tex]67 > x[/tex]
Solving
[tex]23 + x > 44[/tex]
Make x the subject of formula
[tex]x > 44 - 23[/tex]
[tex]x > 21[/tex]
The next step is to dismiss the inequality with negative digit; So, we're left with
[tex]67 > x[/tex] and [tex]x > 21[/tex]
Rewrite both inequalities
[tex]x < 67[/tex] and [tex]21 < x[/tex]
Combine the two inequalities
[tex]21 < x < 67[/tex]
The volume of a cone is 1540cm³. If its radius is 7cm, calculate the height of the cone. (Take pi = 22/7)
Answers
Answer:
30 cmGiven,
Volume of a cone = 1540 cm[tex] {}^{3} [/tex]
Radius ( r ) = 7 cm
π ( pi ) = [tex] \frac{22}{7} [/tex]
Height of cone ( h ) = ?
Now, let's find the height of cone:
Volume of cone = [tex]\pi \: {r}^{2} \frac{h}{3} [/tex]
plug the values
[tex]1540 = \frac{22}{7} \times {(7)}^{2} \times \frac{h}{3} [/tex]
Evaluate
[tex]1540 = \frac{22}{7} \times 49 \times \frac{h}{3} [/tex]
Calculate
[tex]1540 = \frac{154 \: h}{3} [/tex]
Apply cross product property
[tex]154 \: h = 1540 \times 3[/tex]
Calculate the product
[tex]154 \: h = 4620[/tex]
Divide both sides of the equation by 154
[tex] \frac{154 \: h}{154} = \frac{4620}{154} [/tex]
Calculate
[tex]h \: = 30 \: cm[/tex]
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1 to the tenth power
Answers
Explanation:
1 to any power will always be 1
Answer:
1
Step-by-step explanation:
1 to the tenth power is also 1 multiplied by 1 10 times.
1 · 1 · 1 · 1 · 1 · 1 · 1 · 1 · 1 · 1 = 1
1 to any power will always have the answer of 1.