A trapezoid consists of two triangles.
A trapezoid does indeed contain two triangles within its structure. A trapezoid is a quadrilateral with one pair of parallel sides.
The other two sides, known as the legs, are not parallel and meet at a point. These legs, along with the two parallel sides, form two triangles within the trapezoid.
One triangle is formed by connecting the two legs and one of the parallel sides. The other triangle is formed by connecting the two legs and the other parallel side.
So, a trapezoid consists of two triangles.
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find the rule ans the graph of the function whose graph can be obtained by performing the translation 4 units peft and 5 units down on the parent function f(x)=ln(x)
a. f(x)=ln(x+4)-5
b. f(x)=(x-5)-4
c. f(x)=ln(x-4)-5
d. f(x)=ln(x+5)-4
will give brianlist
Jennifer has a hair ribbon that is 12 centimeters long. What is the length of the ribbon in millimeters? Use the number of zeros of the product when multiplying a number by a power of 10 to help you.
120 millimeters
12 millimeters
1,200 millimeters
1.2 millimeters
twice the sum of nineteen and twenty is seventy-eight in a symbol
What is
% of $62 = $31
Answer:
50?
Step-by-step explanation:
31: 62*100 =
(31*100): 62 =
3100: 62 = 50
Combine like terms in the following expression 8x + 3x +10x - 6
Answer:
21x+−6
work:
Combine Like Terms:
=8x+3x+10x+−6
=(8x+3x+10x)+(−6)
=21x+−6
Answer:
21x-6
Step-by-step explanation:
8x+3x+10x-6
8x+3x=11x+10x+21x
21x-6
you can only combine like terms
Can someone help me with these two for brilliant please
Answer:
its A
Step-by-step explanation:
Answer:
A. y=5.50x
Step-by-step explanation:
Brainlist plz
Joshua sells a pack of pens for $3.15, which is 5 percent more than he pays for them. Which equation will help find x, the amount he pays for a pack of pens? How many solutions will this equation have?
Answer:
you 3.15+5 es igual a 8 .15
Step-by-step explanation:
espero que te sirva
a girl is three years older than his brother. the product of their ages is 54, find their ages
Answer:
The sister is 25.5. The brother is 28.5.
Step-by-step explanation:
25.5 + 28.5 = 54.
The boy's age is 9.
The girl's age is 12.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Boy's age = x
Girl's age:
y = x + 3
Now,
x (x + 3) = 54
x² + 3x - 54 = 0
x² + (9 - 6) - 54 = 0
x² + 9x - 6x - 54 = 0
x(x + 9) - 6(x + 9) = 0
x - 6 = 0
x = 6
x + 9 = 0
x = -9 ( cannot be negative)
Now,
x = 9
Boy's age = 9
Girl's age = 9 + 3 = 12
Thus,
The boy's age and the girl's ages are 9 and 12.
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Find the sum of all numbers 1 to 1000
Answer:
it is 500500
Step-by-step explanation:
learned this fact a few years ago and it stuck with me.
put the following equation on a line into slope intercept form simplified all fraction 12 x + 3 Y equals -18
what is 5/12 + 3/5 simplified in fraction form
Answer:
61/60
Step-by-step explanation:
answer:
61 / 60
step-by-step explanation:
first, find the common denominator because in order to add fractions, we need the same denominators5 / 12 + 3 / 5
= 25 / 60 + 36 / 60
= 61 / 60
this cannot be simplified anymore, therefore this is the answerWhat is the factored form of 18+12
6(3+2)
Step-by-step explanation:
that xas factor of 18+12
Answer:
30:)
Step-by-step explanation:
I think it's 30!!!!!
Solve the proportion.
20/13 = 60/d
d=
Answer:
[tex]d = 39[/tex]
Step-by-step explanation:
1) Multiply both sides by d.
[tex] \frac{20}{13} d = 60[/tex]
2) Simplify 20/13d to 20d/13.
[tex] \frac{20d}{13} = 60[/tex]
3) Multiply both sides by 13.
[tex]20d = 60 \times 13[/tex]
4) Simplify 60 × 13 to 780.
[tex]20d = 780[/tex]
5) Divide both sides by 20.
[tex]d = \frac{780}{20} [/tex]
6) Simplify 780/20 to 39.
[tex]d = 39[/tex]
Therefor, the answer is d = 39.
The answer choices are 10, 15, 30, 35.
Lets us start with finding the inner angles of the triangle. The bottom right angle shall be 70 degrees as it is opposite. The 100 degrees shall add together to make 200. 360-200 = 160. 160 / 2 = 80. So, Now we know bottom left angle (80) and bottom right (70). 80 + 70 = 150. In a triangle, angles add to 180 so 180 - 150 = 30. 30 = 2x which means that x = 15
15
can someone help me? please.
Answer:
A
Step-by-step explanation:
[tex]\frac{3}{11} = 0.2727272727[/tex]
27 is repeating so you draw a line over the number
Answer: 0.27 thats the answer hope you pass your grade
Question 8 of 10
What is the solution to the division problem below? (You can use long division
or synthetic division.)
x3 - 2x - 14x + 3 /
X +3
A. x2 - 7x + 1
B. x2 - 6x + 1
c. x2 - 6x + 1
D. x - 8x+1
Answer: x^2-5x+1
Step-by-step explanation:
A P E X
Can someone help me with these questions and show work please and thank you
Answer:
11. 78
12. 4x² - 3x - 1
Step-by-step explanation:
11. Sum of n whole numbers = ½(n² + n)
Multiply
½*n² + ½*n
= n²/2 + n/2
To find the sum of the first 12 whole number, substitute 12 for n into the equation.
= 12²/2 + 12/2
= 144/2 + 12/2
= 72 + 6
= 78
12. Area of trapezoid = ½(a + b)*h
Where,
a = 5x - 4
b = 3x + 2
h = x + 1
Area = ½(5x - 4 + 3x + 2)*(x + 1)
Area = ½(8x - 2)*(x + 1)
Area = ½[8x(x + 1) -2(x + 1)]
= ½[8x² + 8x - 2x - 2]
Add like terms
= ½(8x² - 6x - 2)
= ½(8x²) - ½(6x) - ½(2)
= 4x² - 3x - 1
The sum of two numbers is 58. Twice the second
number subtracted to four times the first number is
28. Find the two numbers.
Answer:
Step-by-step explanation:
a+b=58 and 4a-2b=28 is the system of equations
solving the first for a, a=58-b, using this value for b in second equation is
4(58-b)-2b=28
232-4b-2b=28
232-6b=28
-6b=-204
b=34, and since a=58-b
a=58-34
a=24
So the two numbers are 24 and 34
Given the following table, determine the missing value.
a. 1.15
C 15
b. 115
d. .15
Answer:
it's c because it's the missing value
Can someone please solve this for me btw I’m suppose to be dividing that question using long division
Answer:
0.343
Step by step explanation:
0. 3 4 3
8 2. 7 5 0
− 0
2 7
− 2 4
3 5
− 3 2
3 0
− 2 4
6
A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours. The subsystem will operate if any two of the four components are operating. Assume that the components act independently.a) Find the probability that exactly two of the four components last longer than 1000 hours.b) Find the probability that the subsystem operates longer than 1000 hours.
Answer:
a) 0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.
b) 0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.
Step-by-step explanation:
For each component, there are only two possible outcomes. Either they fail in less than 1000 hours, or they do not. The probability of a component failing in less than 1000 hours is independent of any other component. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
One subsystem has four identical components, each with a probability of 0.2 of failing in less than 1000 hours.
Four components means that [tex]n = 4[/tex]
Probability of 0.2 of failling means that 1 - 0.2 = 0.8 probability of not failling, so [tex]p = 0.8[/tex]
a) Find the probability that exactly two of the four components last longer than 1000 hours.
This is [tex]P(X = 2)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]
0.1536 = 15.36% probability that exactly two of the four components last longer than 1000 hours.
b) Find the probability that the subsystem operates longer than 1000 hours.
It will operate if at least two compoents last longer than 1000 hours. So
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.8)^{2}.(0.2)^{2} = 0.1536[/tex]
[tex]P(X = 3) = C_{4,3}.(0.8)^{3}.(0.2)^{1} = 0.4096[/tex]
[tex]P(X = 4) = C_{4,4}.(0.8)^{4}.(0.2)^{0} = 0.4096[/tex]
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.1536 + 0.4096 + 0.4096 = 0.9728[/tex]
0.9728 = 97.28% probability that the subsystem operates longer than 1000 hours.
Helpp guyss left with this one onlyy!!!!
Answer:
[tex]m=\frac{2}{5}[/tex]
Step-by-step explanation:
1. To find the slope we need to use the slope formula, [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
2. The points that were given were (0,0) and (5,2). Let's plug those into the formula.
[tex]\frac{2-0}{5-0}[/tex]
[tex]\frac{2}{5}[/tex]
So, your slope would be [tex]m=\frac{2}{5}[/tex]
Hope this helped! C:
A parking garage owner wants to collect $2,250.00 in parking fees. If he charges $15.00 for each car, how many cars are needed to meet his goal?
A 150 cars
B 168 cars
C 169 cars
D 301 cars
Please answer and explain I’ll mark brainliest!!!!!!!!!!!!
Answer:
A. x^2−x+6
B. 2x^2−11x+12
C. x^2−4
Step-by-step explanation:
Hope it helps
A. Distribute:
=(x)(x)+(x)(−3)+(2)(x)+(2)(−3)
=x2+−3x+2x+−6
Combine Like Terms:
=x2+−3x+2x+−6
=(x2)+(−3x+2x)+(−6)
=x2+−x+−6
B. I can't find an explanation
C. I can't find an explanation
Answer:
So we apply the distributive property to get
a) x^2 - 3x + 2x - 6
b) 2x^2 - 8x - 3x + 12
c) x^2 - 2x + 2x - 4
then we add like terms to get
a) x^2 - x - 6
b) 2x^2 - 11x + 12
c) x^2 - 4
brainliest please?
If ABCD is a parallelogram, m
A
B
(3x + 4)º
D
xº
C
Equation:
X=
(PLEASE HELP)
Answer:
x is 44 because
3x+4+x=180
4x=180-4
4x=176
x=44
suppose that grade point averages of undergraduate students at one university bell-shaped distribution with a mean of 2.57 and a standard deviation of 0.4 describe where approximately 99.7% of a grade point averages lie
Answer:
2.57-0.4-0.4-0.4=1.37
2.57-0.4-0.4=1.77
so the answer is 1.37 between 3.77
Step-by-step explanation:
Joel rides bikes in his city There are 4 lengths of race tracks.
Answer:
21
Step-by-step explanation:
asdawda
PLEASE HELP WILL MARK BRAINLIEST
Answer:
D
Step-by-step explanation:
Answer:
[tex]\boxed {\boxed {\sf D. \ 64x^{12}y^6z^2}}[/tex]
Step-by-step explanation:
This is an example of a power to a power. The exponents inside the parentheses are being raised to another power outside the parentheses. We multiply the exponents and take the coefficients (number in front of the variables) to the power.
[tex](8x^6y^3z)^2[/tex]
Remember that a variable without an exponent has an implied exponent of 1.
[tex]8^2x^{6*2}y^{3*2}z^{1*2}[/tex]
Solve the coefficient's exponent.
8²= 8*8= 64[tex]64x^{6*2}y^{3*2}z^{1*2}[/tex]
Multiply the exponents.
[tex]64x^{12}y^{6}z^{2}[/tex]
So, the expression given is equal to Choice D: 64x¹²y⁶z²
help!!!!! will give big brain
Which shows how to add 6 + 4+ 5?
6 = 6 and 4 + 5 = 9
1) 6+4 = 10 and 10 + 5 = 15
<» 6+4 = 10 and 4 + 5 = 9
Answer:
6+4=10 and 10+5=15
Step-by-step explanation: