Answer:
240
Step-by-step explanation:
Hello There!
Note: the little arrows indicate that the line can be extended and it's opposite side will never touch indicating that it's a parallelogram
The formula for area of a parallelogram is
[tex]A=bh[/tex]
where b = base and h = height
the given dimension are
height = 15
base = 16
so all we have to do is plug in the values into the formula
[tex]A=(15)16\\15*16=240\\A=240[/tex]
so we can conclude that the area of the polygon is
240 square units
28.
Car A and car B are 120 km apart. If they move towards each other, they will meet in 1 hour. If they
move in the same direction, car A will catch up with car B in 5 hours. Find the speed of car A and
the speed of car B. (Assume that the speeds of the cars are constant.)
A pink-and-green spinner landed on pink 14 times and on green 56 times. Based on experimental probability, how many of the next 65 spins would you expect to land on pink?
=========================================================
Explanation:
Based on the results so far, the experimental or empirical probability of landing on pink is 14/(14+56) = 14/70 = 1/5.
You simply divide the number of pink (14) over the number total (14+56=70) to arrive at that fraction. After reducing, we get 1/5 meaning that 1 out of every 5 spins we arrived on a pink space.
If this pattern holds up, then we expect (1/5)*65 = 13 additional occurrences of pink on the next 65 spins.
Note how 13/65 = 1/5.
Find the midpoint M of the line segment joining the points S = (1, -2) and T = (-7,-6).
Answer:
(-3 ,-4)
I have made it in above picture
hope it helps
someone help me!! i’ll mark brain list!!
16-(-10) need help plz
Help pls because I really need help
Answer:
answer is third,hope i helped u
Good morning! Please help me sort these out for math in the picture above ( I put letters in red so then you can just tell me where the letter goes under either possible or impossible)
Answer:
sorry hunny you on your own
PLEASE HELPP thanks (if you do):))
Answer:
h = 2 yd
b = 8 yd
The area of the trapezoid of 12 yd
Step-by-step explanation:
Iready algebra expressions with exponents evaluate the expression 2b’3+5 when b = 3 help
Answer:
when you substitude 3 for b in (2b^3)+5 this should equal 23
Step-by-step explanation:
(2b^3) +5
(2(3)^3) +5
(2(9)) +5
(18) +5
A car is traveling at a constant speed of 60 miles per hour. How many feet does it travel in 10 seconds? Remember that 1 mile is 5280 feet.
Answer:
The answer is 198 feet.
Step-by-step explanation:
You convert 45 miles/ hour to feet/ hour:
45 × 5,280 = 237,600 feet/ hour
Now you remember that there are 60 minutes in an hour, and 60 seconds in a minute. We divide 237,600 feet per hour by 60 to get feet/ minute:
237,600 ÷ 60 = 3,960 feet per minute
You just have to divide 3,960 by 60 to get back to feet/ second:
3,960 ÷ 60 = 66 feet per second
Now you know how fast the car can travel (in feet) in a second. Now to find out how many feet it travels in 3 seconds, you just multiply 66 by 3:
66 × 3 = 198 feet which is the final answer.
Answer: 880
Step-by-step explanation: We use unit rates to convert miles per hour to feet per second
60 miles/ hour × 5280 feet/mile × 1 hour/ 60 minutes × 1 minute/ 60 seconds = 88 seconds
So the distance in 10 seconds is 10×88 = 880
Sine divided by Cosine is equal to Tangent. True or false?
Answer:
True
Step-by-step explanation:
What is the GCF of the following terms 20n3 and 15n2 ?
The diameter of a circle is 1.4 centimeters. Find its area. Use 3.14 Round to the nearest
hundredth
Answer:
Area = 1.54
Step-by-step explanation:
Area = π[tex]r^{2}[/tex]
π = 3.14
diameter = 1.4
radius (half of diameter) = 0.7
Area = 3.14 x [tex]0.7^{2}[/tex]
Area = 3.14 x 0.49
Area = 1.5386
round to the nearest hundredth:
1.5386 = 1.54
please help! I need the answer
Answer:
[tex]\huge\boxed{\sf x = 3}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x+1}{2} + \frac{x}{3} = 3\\\\LCM = 6\\\\So, Multiply \ both \ sides \ by \ 6\\\\ (\frac{x+1}{2} * 6) + (\frac{x}{3} * 6) = 3*6\\\\3(x+1) + (x*2) = 18\\\\ 3x + 3 + 2x = 18\\\\5x + 3 = 18\\\\Subtract \ 3 \ to \ both \ sides\\\\ 5x = 18-3\\\\5x = 15\\\\Divide \ both \ sides \ by \ 5\\\\\boxed{ x = 3}\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807HELPPPPP PLS ILL GOVE THE BRAINLIEST ANSWER !! just help asap !!
answer is 4√2
because, using pythagoras theorem
x² = 4² + 4²
x² = 16 + 16
x² = 32
x = √32
x = √(16 × 2)
x = √16 × √2
x = 4 × √2
x = 4√2
sujxjcidskmdowqpmwnsjxoskwajwiskskqkncbeHELP PLEASE. ANAKSMS
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Answer:
180 degrees
Step-by-step explanation:
the triangle sum theorem states that all angles of a triangle must add up to 180 degrees. this means the answer has to be 180 degrees
Good morning can somebody help me out the answer choice are
A.56.4 degrees
B.40.0 degrees
C. 13.3 degrees
D. 33.6 degrees
Answer:
Option D
Step-by-step explanation:
Measure of adjacent side = 20
Measure of Hypotenuse = 24
Since, measures of adjacent side and Hypotenuse have been given in the question, cosine ratio will be applied to find the measure of angle x.
cos(x) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(x) = [tex]\frac{20}{24}[/tex]
x = [tex]\text{cos}^{-1}(0.833)[/tex]
= 33.55°
≈ 33.6°
Option D is the answer.
Marks of 12 students in a unit test are given as 4, 21, 13, 17, 5, 9, 10, 20, 19, 12, 20, 14. Assume a mean and calculate the arithmetic mean of the data. Assume another number as mean and calculate the arithmetic mean again. Do you get the same result? Comment
hope this helps you...
.....
Step-by-step explanation:
observations = 4, 21, 13, 17, 5, 9, 10, 20, 19, 12, 20, 14mean = sum of observations ÷ numbers of observations...........................................sum of observation = 4+21+13+17+5+9+10+20+19+12+20+14= 164numbers of observation = 12mean = 164 ÷ 12 = 13.67The radius is 3 units
Consider triangles CBD and BDE and answer the questions that follows
2.1 Which side is common in both triangles?
2.2 What can be concluded about the heights of A CBD
and A BDE? Give a reason for your answer.
2.31 Using your answers from 2.1 und 2.2 above complete
the following statements:
2.3.1 Area of A CBD
2.3.2 Area of ABDE
2.4 What can be concluded about the area of A CBD and
ABDE?
Answer:
Step-by-step explanation:
∠ABD ≅ ∠BDE..... (given).... (1)
m∠ABD + m∠CBD = 180°... (straight line ∠'s)... (2)
From equations (1) & (2)
m∠BDE + m∠CBD = 180°....(3)
m∠BDE + m∠CDB = 180°... (straight line ∠'s)... (4)
From equations (3) & (4)
m∠BDE + m∠CBD = m∠BDE + m∠CDB
m∠CBD ≅ m∠CDB.. (Proved)
write each answer in simplest form
6% of 75
The Smith family has $1500 set aside for upgrades in their kitchen. The contractor charges
a $225 materials fee plus $75 per hour. Write and solve an inequality to find the possible
numbers of hours that they can use the contractor.
Answer:
$225 + $75x ≤ $1500
x ≤ 17
Step-by-step explanation:
The Smith family has $1500 spending limit and no more.
The initial fee is $225 in labor so we must deduct that from the current total of money left to spend.
$1500 - $225 = $1275
Then we can simply divide the amount leftover with the hours the contractor works.
$1275 ÷ $75 = 17
The inequality is $225 + $75x (x being the amount of hours the contractor works) ≤ (equal to or less than simple identifying that $1500 can be spent but no more than that.) $1500
What’s the value of F ?
F= ??
Answer: 30 i took a test with that question
Step-by-step explanation:
Plz help me! Well put brainliest
please i need help it’s urgent
Answer:
4.5
Step-by-step explanation:
6x + 42 = 18x - 12 (alternate angles)
or, 18x - 6x = 42+12
or, 12x = 54
or, x = 54/12
x= 4.5
At the beginning of June, Max and Sean start saving money for the fair, which occurs 10 weeks later. Sean
starts out with $20 and saves just $2 per week. Max starts out with no money, but saves 5 dollars per week.
After how many weeks will Max have more money saved than Sean?
Answer:
Step-by-step explanation:
sean has 20 +2 : 2 x 7 = 14 + 20 = 34
max has 0 + 5: 5 x 7 = 35
so after 7 week max will have more money
please help me if you can!
Answer:
A is 55°
Step-by-step explanation:
To solve this, you need to remember that the sum of the angles inside a triangle is equal to 180 degrees.
Also, noting that this is an isosceles triangle. That means that a and b are equal. With that in mind, we can simply say:
a + b + c = 180
a ≡ b ∴ 2b + c = 180
2(4x + 31)° + (2x + 58)° = 180°
8x° + 62° + 2x° + 58° = 180°
Let's just stop right here, and note that normally you can treat symbols of measurements just like variables. We've done the same here, applying the distributive property with the ° symbol. Note though that it's currently part of every single term, so I'm going to factor it out:
(8x° + 62° + 2x° + 58°) / 1° = 180° / 1°
8x + 62 + 2x + 58 = 180
10x + 120 = 180
10x = 60
x = 6
Again noting that A and B are identical due to this being an Isosceles triangle, we can say:
A = (4x + 31)°
A = 24° + 31°
A = 55°
We can also check our answer. The sum of the angles should be 180, and two of those angles should be 55. That means that angle C should be 180 - 2 * 55, or 180 - 110 = 70. Let's test it:
70 = 2x + 58
70 = 12 + 58
70 = 70
So we know that our answer is correct.
Write an equation for a term value of 14. Solve your equation.
Answer:
[tex]x {}^{2} - 2x - 1 = 14 \: where \: x = 5[/tex]
what is -6.77626358E-21 written in scientific notion with three significant digits
Answer:
-6.78 x 10^-21
Step-by-step explanation:
-6.77626358E-21
= -6.78 x 10^-21
In July 2005, the internet was linked by a global network of about 353 million host computers. The number of host computers has been growing approximately exponentially and was about 37.1 million in July 1998. (a) Find a formula for the number, N, of internet host computers (in millions of computers) as an exponential function of t, the number of years since July 1998, using the continuous exponential model N ( t )
Answer:
[tex]N(t) = 37.1(1.38)^t[/tex]
Step-by-step explanation:
Exponential function:
An exponential function has the following format:
[tex]N(t) = N(0)(1+r)^t[/tex]
In which N(0) is the initial value and r is the rate of change, as a decimal.
37.1 million in July 1998
This means that [tex]N(0) = 37.1[/tex]
So
[tex]N(t) = 37.1(1+r)^t[/tex]
In July 2005, the internet was linked by a global network of about 353 million host computers.
This is 2005 - 1998 = 7 years, so [tex]N(7) = 353[/tex]. We use this to find r.
[tex]N(t) = 37.1(1+r)^t[/tex]
[tex]353 = 37.1(1+r)^7[/tex]
[tex](1+r)^7 = \frac{353}{37.1}[/tex]
[tex]\sqrt[7]{(1+r)^7} = \sqrt[7]{\frac{353}{37.1}}[/tex]
[tex]1 + r = (\frac{353}{37.1})^{\frac{1}{7}}[/tex]
[tex]1 + r = 1.38[/tex]
The formula is:
[tex]N(t) = 37.1(1.38)^t[/tex]