Answers
rhombus opposite sides are equal.
So, CD = 15
Related Questions
If the legs of each triangular base are 5 cm and 3 cm and the height of the prism is 4 cm, what
are the coordinates of the vertices of the prism?
Answers
The coordinates of the six vertices of the prism are listed below:
[tex](x_{1},y_{1}, z_{1}) = (0, 0, 0)\,[ft][/tex] [tex](x_{2}, y_{2}, z_{2}) = (0, 0, 5)\,[ft][/tex] [tex](x_{3}, y_{3}, z_{3}) = (3, 0, 0)\,[ft][/tex] [tex](x_{4}, y_{4}, z_{4}) = (0, 4, 5)\,[ft][/tex] [tex](x_{5}, y_{5}, z_{5}) = (0, 4, 0)\,[ft][/tex][tex](x_{6}, y_{6}, z_{6}) = (3, 4, 0)\,[ft][/tex]The number of vertices of a prism with a polygonal base ([tex]n[/tex]) is described by the following expression:
[tex]n = 2\cdot s[/tex] (1)
Where [tex]s[/tex] is the number of sides of the base.
If we know that [tex]s = 3[/tex], then the number of vertices of the prism are:
[tex]n = 2\cdot 3[/tex]
[tex]n = 6[/tex]
A prism with triangular base has six vertices, let suppose that the triangle of the base is right-angled. and coincides with a right-hand rectangular coordinate system. Then, we can conclude that the coordinates of the six vertices are the following:
[tex](x_{1},y_{1}, z_{1}) = (0, 0, 0)\,[ft][/tex] [tex](x_{2}, y_{2}, z_{2}) = (0, 0, 5)\,[ft][/tex] [tex](x_{3}, y_{3}, z_{3}) = (3, 0, 0)\,[ft][/tex] [tex](x_{4}, y_{4}, z_{4}) = (0, 4, 5)\,[ft][/tex] [tex](x_{5}, y_{5}, z_{5}) = (0, 4, 0)\,[ft][/tex][tex](x_{6}, y_{6}, z_{6}) = (3, 4, 0)\,[ft][/tex]We kindly invite to check this question on prisms: https://brainly.com/question/8828506
A standard elevator in a midrise building can hold a maximum weight of about 1 3/4 tons. Assuming an average adult weight of 124 pounds, what is the maximum number of adults who can safely ride the elevator?
Answers
Answer: 28 adults
Step-by-step explanation: 1 3/4 tons is 3500 pounds which I divided by 124 pounds which gave me the answer 28
Write a recursive formula for a_n the n^th term of the sequence 36, 6, 1, ....
a_1=
a_n=
Answers
Answer:
you plus them together then you get 42 out of your number you close during / N which is 3 to get your final answer thank
a man walks for 45 minutes at a rate of 3 mi/h then jogs for 75 minutes at a rate of 5 mi/h then rests for 30 minutes and finally walks for 90 minutes at a rate of 3 mi/h. Write a piecewise-defined function expressing the distance he traveled as a function of time.
Answers
Answer:
Sorry need points
Step-by-step explanation:
Issac wanted to make a homemade bubble solution to play with his friends. A bubble recipe he found requires 4 cups of warm water for every 1/2 cup of soap. If he had 2/3 cup of soap how many cups of warm water will he need
A- 1/12
B- 1 1/3
C- 5/13
D- 8
Answers
Answer: 8/3
You first do 4x2 than you would have to divide by 3. 4x2*3
The number of cups of warm water need for 2/3 cup of soap to make solution is [tex]5\frac{1}{3}[/tex]. Therefore, option C is the correct answer.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Given that, a bubble recipe he found requires 4 cups of warm water for every 1/2 cup of soap.
Let the number of cups of warm water need for 2/3 cup of soap be x.
Now, the proportion is
4:1/2 :: x:2/3
1/2 x=4×2/3
x/2=8/3
x=16/3
x= [tex]5\frac{1}{3}[/tex]
Therefore, option C is the correct answer.
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25+30=15x+10x
solve for X
Answers
Answer:
X=11/5
Step-by-step explanation:
Hope your cheating is nice
Answer:
[tex]x=\cfrac{11}{5}[/tex]
Step-by-step explanation:
[tex]25+30=15x+10x\\15x+10x=25+30\\25x=25+30\\25x=55\\\cfrac{25x}{25}=\cfrac{55}{25}\\x=\cfrac{11}{5}[/tex]
At registration for the first semester, the 1,500 students at Abraham Lincoln High School selected the primary mode of
transportation each planned to use to get to school during the semester. The circle graph below shows the distribution of
students who selected the various modes of transportation
Modes of Transportation Selected by
Abraham Lincoln High School Students
driving
for or riding
in a student-
driven car pool
25%
driving alone
30%
riding
with parent
10%
walking
10%
riding in a
school bus
Gina wants to duplicate this circle graph. Which of the following is closest to the measure of the central angle of the
"walking" sector?
Answers
Using proportions, it is found that the central angle of the walking sector is of 36º.
This question can be solved by proportions, using a rule of three.The angle corresponding to 100% = 1 is of 360º, while we want to find the angle corresponding to the walking sector, which is of 10% of the circle.Hence, the rule of three is:
1 - 360º
0.1 - x
Applying cross multiplication:
[tex]x = 360(0.1) = 36[/tex]
The central angle of the walking sector is of 36º.
A similar problem is given at https://brainly.com/question/24372153
thanks i'll mark brainliest
Answers
Answer:
m <5=91 is the correct response to this question
what is the answer for number 2?
Answers
Answer:
7/3
Step-by-step explanation:
integral of equation is x^3/3-6x^2/2+5x/1
the answer will be
7^3/3-3*7^2+5*7-0= 343/3-147+35= 7/3
please help to find an explicit formula for calculating the sum Mn
Answers
The explicit formula for calculating the sum is
[tex]S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}[/tex]
The sum of the nth term of a sequence is expressed as;
[tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]
a is the first term
d is the common difference
n is the number of terms
For the sequence 0 + 1 + 2 + 3 +...
[tex]S_n=\frac{n}{2}(2(0)+(n-1)1)\\S_n= \frac{n}{2}(n-1)\\S_n= \frac{n(n-1)}{2}[/tex]
Similarly for the sequence:
1 + 2+ 3 + 4+...
[tex]S_n=\frac{n}{2}(2(1)+(n-1)1)\\S_n= \frac{n}{2}(2+n-1)\\S_n= \frac{n(n+1)}{2}[/tex]
Taking the product of the sum to get the explicit formula for calculating the sum
[tex]S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}[/tex]
Learn more here: https://brainly.com/question/24547297
3/8 + 1/8 + 2/3 - 1/2 =
Answers
Answer: 2/3 (answer in decimal form = 0.6)
Step-by-step explanation: The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly. Then do the rest of the operations.
I need help with the question
Answers
Answer:
[tex]A = 25\pi[/tex] or 25 × 3.14 = 78.5m
Step-by-step explanation:
The radius is half of the diameter. So the radius = 5m (10/2)
[tex]A = \pi r^{2}[/tex]
[tex]A = \pi (5^{2} )[/tex]
[tex]A = 25\pi[/tex]
Albert is 5 years 6 months. How old is Albert in months
Answers
Answer:
5x12=60,+6=66
Step-by-step explanation:
Answer:
66 months
Step-by-step explanation:
12months x 5= 60
60 + 6= 66
Kylie has lemon and watermelon in a ratio of 10:71. How many watermelon does she have if she has 20 lemons
Answers
Answer:
142 watermelon
Step-by-step explanation:
10/71 = 20 / w
w = 20(71/10) = 142
Find m<1
(Picture included)
Answers
Answer:
m<1 =30
Step-by-step explanation:
[tex] < 1 + 117 + 33 = 180 \\ < 1 + 150 = 180 \\ < 1 = 180 - 150 \\ < 1= 30[/tex]
What is the product?
(Y^2+3Y+7)(8y^2+y+1
Answers
Answer:
8y⁴+25y³+60y²+10y+7
Step-by-step explanation:
8y⁴+y³+y²+24y³+3y²+3y+56y²+7y+7
8y⁴+25y³+60y²+10y+7
Answer:
8y^4+25y^3+60y^2+10y+7
Step-by-step explanation:
(y^2+3y+7)(8y^2+y+1)
We are going to multiply the first term, y^2, by the whole second part (8y^2+y+1)
8y^4+y^3+y^2
now we multiply the 2nd term, 3y, by the whole second part (8y^2+y+1))
24y^3+3y^2+3y
now we do the same to the last term, 7.
56y^2+7y+7
now we need to add all three of our products together
(8y^4+y^3+y^2)+(24y^3+3y^2+3y)+(56y^2+7y+7)
adding like terms:
8y^4+y^3+24y^3+y^2+3y^2+56y^2+3y+7y+7
we get:
8y^4+25y^3+60y^2+10y+7
Help help help math please help help
Answers
Answer:
x=11
Step-by-step explanation:
We know that angles on a straight line equal 180 degrees, so we know that 8x+10+7x+5 = 180.
Simplify
15x+15=180
Solve
Take away 15 from both sides
15x = 165
Divide 165 by 15
x = 11
PLEASE HELP 100 POINTS
Answers
Answer:
I think its x = 8
Step-by-step explanation:
There are 8 white long rectangles so I would think x = 8
but there are 9 little white squares so it could be 8 + 9 but
Answer:
x= 6/7
Step-by-step explanation:
becuase 7x -3x -2 + 1 = 8-3-3x + x
is simplified to 5x -1 = 5-2x
+2 on both sides
7x-1 =5
+ 1 on both sides
7x=6
divde both by 7
x= 6/7
Assignment Goal:
Describe the motion of a rocket using a quadratic model.
Instructions:
Respond to each of the questions. Your solutions must document all of your work.
Scenario: A toy rocket is launched straight upward from a pad 10 ft above ground level with an initial velocity of 80 ft/sec.
Use the general formula for the vertical position (height) of an object moving under the influence of gravity s=-1/2 gt^2+ v_0 t+ s_0 where s0 is initial vertical position, v0 is initial velocity, and s is vertical position of the object.
1. Define a model (equation) to express the vertical position (height) of the rocket s (in meters) above ground level t seconds after launch. Let g = 32 ft/sec2.
Answers
Answer:
Your question is a little unclear if it wants meters or feet because it has everything listed in nicely feet then you say "(in meters)" at the bottom.
If it wants feet, the answer is
[tex]s=-16t^2+80t+10[/tex]
If it wants meters, the answer is
[tex]s=-4.8768t^2+24.384t+3.048[/tex]
Step-by-step explanation:
To solve, use the quadratic equation.
[tex]y=ax^2+bx+c[/tex]
It wants the x-axis to represent time (t) and the y-axis to represent position (s)
[tex]s=at^2+bt+c[/tex]
It gives us a formula that tells us what a, b, and c equal.
[tex]s=(-1/2)gt^2+v_0t+s_0[/tex] where g is gravity, v_0 is the initial velocity, and s_0 is the initial starting position.
From here, it is just a plug and chug to get the final answer.
[tex]s=(-1/2)(32)t^2+80t+10\\s=-16t^2+80t+10[/tex]
If it wants everything in meters, just convert feet to meters at every step. You can search to find that 1 meter=3.28084 feet.
Productivity gains are an important factor in the expenditure model because
A. companies can “squeeze” workers more than normal
B. it shifts the AD curve to the left
C. the investments made are cheaper and allows companies to
D. it shifts the AS curve to the right
Answers
Answer:
A
Step-by-step explanation:
companies can squeeze workers more than normal
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
Answers
Multiply 3 by 25% of 40.
Answers
[tex]3 \times 25\% \times 40 = 3 \times \dfrac{25}{100} \times 40 = 3 \times 10 =30[/tex]
The value of the numerical expression 3 × 25% × 40 will be 30.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ 3 × 25% × 40
Simplify the expression, then the value of the expression will be given as,
⇒ 3 × 25% × 40
⇒ 3 × 0.25 × 40
⇒ 30
The value of the numerical expression 3 × 25% × 40 will be 30.
More about the Algebra link is given below.
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Domain:
Range:
HELP RQ
Answers
What is the Bill of Rights?
The first amendment to the Constitution, which is actually a group of ten amendments
The list of laws that people of the United Stated needed to follow
The document that replaced the Constitution
The document that replaced the Articles of Confederation
Answers
Answer:
The first amendment to the Constitution, which is actually a group of ten commandments
Step-by-step explanation:
The first amendment to the Constitution is actually a group of ten amendments called the Bill of Rights. The Bill of Rights guarantees all Americans certain freedoms, such as freedom of religion, freedom of the press, freedom of speech, the right to bear arms, and the right to a fair trial.
An ice cream factory makes 300 quartz of ice cream in 10hr how many quartz can be made in 12 hours
Answers
Answer:
360
Step-by-step explanation:
Answer:
360 quarts
Step-by-step explanation:
300/10=30
30*12=360
Find the number that makes the ratio equivalent to 1:8.
9:
Answers
Answer:
Step-by-step explanation:
no i will nt help u cheat on your test
Write as a fraction
3÷151
Answers
Answer:
3/151
Step-by-step explanation:
That's the answer
Put the following numbers in order on the number line below.
1/2
1 1/2
3/5
1/4
1 3/4
1 1/4
7/8
Answers
Answer:
1/4
1/2
3/5
7/8
11/4
13/4
11/2
Simplify as far as possible without using a calculator.
Answers
At State College last term, 63 of the students in a Physics course earned As, 85
earned Bs, 123 got Cs, 84 were issued Ds, and 64 failed the course. If this grade
distribution was graphed on a pie chart, how many degrees would be used to indicate
the B region?
Answers
Answer:
a
Step-by-step explanation: