what is the area of the triangle ://
Answer:
The area of a triangle is:
Area = 1/2(bh)
Area = 1/2(70)
Area = 35 square inches
Let me know if this helps!
Find mABC.
A. 102°
B. 54°
C. 14°
D. 78°
By the supplementary angles theorem, we know that both of the angles add up to equal 180°, so:
(4x + 22) + (8x - 10) = 180
12x + 12 = 180
12x = 168
x = 14
Now you just have to plug in x into the value for ∠ABC:
∠ABC = 4x + 22
∠ABC = 4(14) + 22
∠ABC = 46 + 22
∠ABC = 68°
Answer:
D = 78
Step-by-step explanation:
The two angles form a straight line so they add to 180
4x+22 + 8x-10 = 180
Combine like terms
12x +12 =180
Subtract 12 from each side
12x+12-12 = 180-12
12x = 168
Divide by 12
12x/12 =168/12
x=14
We want to find ABC
4x+22 = 4*14+22 = 56+22 = 78
14 over 17 as a decimal rounded to the nearest tenth
Step-by-step explanation:
14/17 is 0.82352941176
To the nearest tenth is 0.8
Melissa, Brian, and shen have a total of $85 in their wallets. Brian has 3 times what Shen has. Shen has $10 less than Melissa. How much do they have in their wallets?
Answer:
Shen has $15, Brian has $45, and Melissa has $25
Step-by-step explanation:
Let x represent how much money Shen has.
Since Brian has 3 times what Shen has, his amount can be represented by 3x.
Since Shen has $10 less than Melissa, Melissa's amount can be represented by x + 10.
Create an equation to represent the situation, and solve for x:
x + 3x + x + 10 = 85
5x + 10 = 85
5x = 75
x = 15
So, Shen has $15 in their wallet.
Find how much Brian has by multiplying this by 3:
15(3) = $45
Find how much Melissa has by adding 10 to this:
15 + 10 = $25
Shen has $15, Brian has $45, and Melissa has $25.
Nhà trường muốn đánh giá tỉ lệ chăm học của sinh viên (trong một tuần). Khảo sát 236 sinh viên thì thấy có 32 sinh viên chăm học. Hãy ước lượng khoảng đối xứng cho tỉ lệ sinh viên chăm học của trường với độ tin cậy 95%
Answer:
can't understand the language
6x/x+6
Find all real numbers for which the rational expression is undefined.
Answer:
x=-6
Step-by-step explanation:
For the rational expression, 6x/(x+6) to be undefined, the denominator need to be 0, so x=-6 is the point at which the function is undefined.
The rational expression 6x / (x + 6) is undefined when x equals -6, and it is defined for all other real numbers.
To find the real numbers for which the rational expression 6x / (x + 6) is undefined, we need to identify the values of x that would make the denominator equal to zero. When the denominator is zero, the expression becomes undefined.
In this case, the denominator is (x + 6). Setting the denominator equal to zero, we have:
x + 6 = 0
Solving for x, we subtract 6 from both sides:
x = -6
Therefore, the rational expression 6x / (x + 6) is undefined when x = -6.
When x is equal to -6, the denominator becomes zero, which causes division by zero. Division by zero is undefined in mathematics. Hence, for x = -6, the rational expression is not defined.
For any other real numbers other than x = -6, the expression is defined and can be simplified or evaluated.
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Solve the word problems. The price of a bed was $2600. MDM Yap bought the bed and had to pay an additional 7% GST. (a) What was the amount of GST she had to pay? (b) What was the price of the bed including GST?
Answer:
Step-by-step explanation:
Which condition must exist in order for conduction to occur between two substances? The molecules of the substances must be touching. Both substances must be the same temperature. At least one substance must be a liquid. Most of the molecules must be slow moving.
Answer:
The molecules of the substances must be touching
FOR EXAMPLE, a metal spoon placed in a hot coffee mug shows the flow of heat from coffee to the spoon. and now we can conclude that a condition that must exist in order for conduction to occur between two substances is that the objects must be touching each other.
Answer:
The molecules of the substances must be touching.
A
Step-by-step explanation:
In a mixture 60 liters, the ratio of milk and water 2:1.If this ratio is to be 1:2, then what is the quantity of water to be further added?
Answer:
Hello,
60L
Step-by-step explanation:
Quantity of water /Quantity of milk =2/1
Quantity of mixture= Quantity of water +Quantity of milk =60L
Quantity of milk =40 L
Quantity of water =20 L
Let say x the quantity of water to be added
New ratio =1/2=40/(20+x)
20+x=80 (cross products)
x=60 (L)
How many x intercepts does the graph of y=2x^2+4x-2have
Answer:
2
Step-by-step explanation:
x intercepts are at y=0
therefore
0= 2x^2+4x-2
Simplify by 2
0=x^2+2x-1
the determinant
D= 2^2 - 4 (1)(-2) = 4 + 8 = 12 > 0
therefore the graph has two intercepts
factorize : ( p- q ) cube
Answer:
[tex]( {p - q}^{3} ) \\ = {p}^{2} - 3 {p}^{2} q + 3p {q}^{2} - {q}^{3} [/tex]
A gift box shown below is packed with small cubic 1/2 inch blocks. The blocks are packed tightly with no spaces between them.
A. How many blocks are in the gift box?
B. What is the volume of the gift box?
C. Find how much wrapping paper will be needed to wrap the gift box (hint: find surface area).
Step-by-step explanation:
the box is
9 in × 3.5 in × 4.5 in = 141.75 in³
each block is
0.5 in × 0.5 in × 0.5 in = 0.125 in³ (1/8 in³)
so, we can fit
141.75 / 0.125 = 1134
blocks into the box.
and they fit neatly, as the dimensions of the box and the cubes allow a tight packing without any empty left over space in the box.
How many times greater is
3.8 x 105
than
1.9 X 1022
2
20
200
2000
Step-by-step explanation:
there must be something wrong with your text.
what we can see is
3.8 × 105
and
1.9 × 1022
the true answer for these values has nothing to do with the 4 answer options.
maybe you meant
1.9 × 10.5 ?
because that answer would be 20.
but first working with the presented numbers :
3.8 × 105 = 399
1.9 × 1022 = 1941.8
so, the second number is actually much bigger than the first number.
but if it is
1.9 × 10.5 = 19.95
that works.
and we can either use the calculator to calculate
399 / 19.95 = 20
or we can simply look at the factor changes of the multiplication terms.
3.8 = 1.9 × 2
105 = 10.5 × 10
so, the multiplication product of the two larger numbers is then 2×10=20 times larger than the product of the 2 smaller numbers.
43% of a sample of 100 visitors to a national park believes that additional funds should be used to preserve endangered species. What is the margin of sampling error for a 95% confidence interval?
A. 9.7%
B. 5.4%
C. 43%
D. 19.4%
Answer:
A. 9.7%
Step-by-step explanation:
margin of error:
z * [tex]\sqrt{\frac{p(1-p)}{N} }[/tex]
n is sample size
z is the z score (for a 95% confidence interval you would use 1.96)
p is the sample proportion
to solve for 'p', remember that if a decimal value is given, use that. but if it is a whole number, then divide that number by the sample size, and substitute it into the formula.
in this case we are given 43% so 0.43.
in the formula :
1.96 * [tex]\sqrt{\frac{0.43(1-0.43)}{100} }[/tex]
if you calculate this you get around 0.09703 this is 9.7%
Margin of error is 9.7% (A)
ρ = 43% which is equal to 0.430
[tex]1 - P = 1 - 0.430 = 0.570[/tex]
The number of sample n = 100
We have to calculate Z at 95% confidence interval
∝ = [tex]1 - 95%[/tex]%
∝ = [tex]1 - 0.95[/tex]
∝ = [tex]0.05[/tex]
∝/2 = 0.025
Z(∝/2) = Z(0.025) = 1.96
Standard error = [tex]\sqrt{ ((1-P)xP / n)}[/tex]
Standard error = [tex]\sqrt{(1-0.43)x0.43 / 100)[/tex]
Standard error = [tex]\sqrt{(0.002451)}[/tex]
Standard error = 0.04950758
Standard error = 0.0495
Margin of error = Z*SE. z = 1.96 and standard error = 0.0495
Margin of error = [tex]1.96x0.0496[/tex]
Margin of error = [tex]0.097216[/tex]
Margin of error = [tex]9.7216%[/tex]%
In conclusion, the margin of sampling error for a 95% confidence interval is 9.7%.
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What's the equation of the line that passes through the points (–1,5) and (1,–1)?
Answer:
y = -3x + 2
Step-by-step explanation:
Use rise over run to find the slope of the line:
change in y / change in x:
-6 / 2
= -3
Plug in the slope and a given point into y = mx + b, and solve for b:
y = mx + b
5 = -3(-1) + b
5 = 3 + b
2 = b
Plug in the slope and b into y = mx + b:
y = mx + b
y = -3x + 2
So, the equation of the line is y = -3x + 2
Instructions: Determine whether the following polygons are
similar. If yes, type in the similarity statement and scale factor. If
no, type 'None' in the blanks.
Answer:
None
Step-by-step explanation:
The given angles aren't equal which is needed for the polygon to be similar
No, the following polygons are not similar.
Used the concept of a similar figure that states,
In terms of Maths, when two figures have the same shape but their sizes are different, then such figures are called similar figures.
Given that,
Two polygons EFGH and JKLM are shown in the image.
Now the corresponding sides of both figures are,
EF = 27
JK = 63
And, EH = 27
JM = 63
Hence, the ratio of corresponding sides is,
EF/JK = 27/63
= 9/21
= 3/7
EH/JM = 27/63
= 3/7
So their corresponding sides are equal in ratio.
But their corresponding angles are not the same.
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You buy 7 bags of chips and 3 package of cookies for $17. Your best friend buys 3 bags of chips and 1 package of cookies for $7 how much does each bag of chips cost
Answer:
bag of chips = 2
cookies=1
Step-by-step explanation:
b = bags of chip cost
c = cookie cost
7b+3c = 17
3b +1c = 7
Multiply the second equation by -3
-9b -3c = -21
Add this to the first equation
7b+3c = 17
-9b -3c = -21
------------------------
-2b = -4
Divide by -2
-2b/-2 = -4/-2
b = 2
Now find c
3b +1c = 7
3(2)+c = 7
6+c =7
c = 7-6
c=1
Write seventy-one and one hundred sixty-four thousandths as a decimal number.
Answer:
0.0071164
Step-by-step explanation:
what is the probability that the 2 cards you will draw will be blackjacks?
Answer:
Need more explation of the question
Step-by-step explanation:
State the additional congruency statement t(s) needed to prove triangle ABC cong triangle FGH for the given theorem A.SAS Theorem B.ASA theorem
Answer:
part a:
AC=HF (Given)
angle BAC= angle GFH (Given)
ans: BA=GF
part b:
Angle BAC= angle GFH (Given)
AC=HF (Given)
ans: Angle BCA = Angle GHF
Or
AngleABC = Angle FGH
Rearrange the equation A = xy to solve for x.
Ox=y
A
1
Ox=
Ау
х
OX=
y
Ox-A
y
9514 1404 393
Answer:
x = A/y
Step-by-step explanation:
Divide both sides of the equation by y
A = xy
A/y = (xy)/y . . . . . . divide by y
A/y = x . . . . . . . . . .simplify
x = A/y . . . . . . . . . write with x on the left
A group of hens lays 69 eggs in a single day. On one particular day, there were 7 brown eggs and 62 white eggs. If four eggs are selected at random, without replacement, what is the probability that all four are brown?
Answer:
The probability will 4.32%.
The probability that all four are brown is 35/8,64,501.
Given that, A group of hens lays 69 eggs in a single day. On one particular day, there were 7 brown eggs and 62 white eggs.
What is the probability without replacement?Probability without replacement means once we draw an item, then we do not replace it back to the sample space before drawing a second item. In other words, an item cannot be drawn more than once.
If four eggs are selected at random, without replacement, the probability that all four are brown is 7/69 × 6/68 × 5/67 × 4/66
= 7/69 × 3/34 × 5/67 × 2/33
=7/23 × 1/17 × 5/67 × 1/33
=35/8,64,501
Therefore, the probability that all four are brown is 35/8,64,501.
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The sum of the lengths of any two sides of a triangle must be greater than the third side. if a triangle has one side that is 11 cm and a second side that is 1 cm less than twice the third side, what are the possible lengths for the second and third sides?
What is the perimeter of the triangle?
units
Answer:
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By Using 0,2,4,5,6 Write The Smallest And Greatest Number Of 5 digit
Answer:
Smallest number:20456
Greatest number:65420
730 million, 5
how to write it in digits
Answer:
730 million in numbers = 730,000,000
730M in short form.
1/5 divided (-5/7) Can someone please help with this equation and show work
Answer:
-7/25
Step-by-step explanation:
1/5 ÷ -5/7
Copy dot flip
1/5 * -7/5
-7/25
9 hundred thousands = how many
ten thousands
Answer:
90 is the answer:)
Step-by-step explanation:
I hope it helps you. Have a marvellous day!
Answer:
90 is the answer
Step-by-step explanation:
ZA and ZB are vertical angles. If m A = (5x + 2)° and mZB = (6x – 12),
then find the value of x.
Answer:
x = 14
Step-by-step explanation:
Vertical angles are equal
5x+2 = 6x-12
Subtract 5x from each side
5x+2-5x = 6x-12-5x
2 = x-12
Add 12 to each side
2+12 = x-12+12
14 =x
A banquet hall offers two types of tables for rent: 6-person rectangular tables at a cost of $28 each and 10-person round tables at a cost of $52 each. Kathleen would like to rent the hall for a wedding banquet and needs tables for 250 people. The hall can have a maximum of 35 tables, and the hall has only 15 rectangular tables available. How many of each type of table should be rented to minimize cost and what is the minimum cost?
Answer:
940
Step-by-step explanation:
so the cheapest table is the rectangular table coming at around $4.6 per person while the 10 person table comes at $5.2 per person.
That being said we can only have 15 rectangular tables so thats a total of 150 people at a total of $420. We still need 100 more people so we would need 10 round tables so 52 * 10 = 520 and plus our previous total 420 + 520 our total comes down to 940.
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