Answer :
Let in Triangle abc,
a=90,
b = (we have to find)
c = (we have to find)
c + 144=180 (linear pair)
c = 180 - 144
c = 36
a + b + c = 180 (Angle sum property)
90 + b + 36 = 180
126 + b = 180
b = 180-126
b = 54
(x) 3 5 7
(y) 7 11 15
Find x, when y = 21
Answer:
x = 10
Step-by-step explanation:
y = 2x + 1
21 = 2x + 1
21 - 1 = 2x
2x = 20
x = 10
Helpppp plssssss I need to get my grade up in math
Answer: 1.25 square feet
This converts to the improper fraction 5/4
===========================================================
Explanation:
The area of the triangle on the left is base*height/2 = 0.5*2/2 = 0.5 square feet. Note that 1/2 = 0.5
The area of the triangle on the right side is base*height/2 = 0.2*3/2 = 0.75 square feet. This converts to the fraction 3/4
Add up the two results: 0.5+0.75 = 1.25 square feet
-----------
If you need the answer as an improper fraction, then,
1.25 = 1 + 0.25
1.25 = 1 + 1/4
1.25 = 4/4 + 1/4
1.25 = (4+1)/4
1.25 = 5/4
6+t=1 pls help.............
6+T=1
Try T=-5
6+(-5) = 1
Correct, So...
T=-5
Which fact is not used to prove that ABC is similar to DBE?
geumath malah 17.pdf
1/21
* 16 The diagram shows a swimming pool in the shape of a prism.
10 m
Sm
Diagram NOT
accurately drawn
וו 1
2 m
4m
DO NOT WRITE IN THIS AREA
2 m
The swimming pool is empty.
Water from 3 water tankers is going to be put into the pool.
There are 20000 litres of water in each water tanker.
Sam thinks that the surface of the water in the pool will be 10 cm below the top of the pool.
Is Sam correct?
You must show how you get your answer.
(lm - 1000 litres)
TE IN THIS AREA
Answer:
He is wrong.
In my answer I found the complete volume of the pool and then what the volume would be 10 cm empty. You probably only need to find the 10 cm emptied to answer, just a heads up. if you have any questions though let me know.
Step-by-step explanation:
To most easily figure out the volume of the empty pool I think it is easiest to break it up into four parts..
First break off that skinny end bit so it will have 1 m in height, 4 m in length and 5m in width. Width is never going to shange because of how we are breaking this up, and the width is the distance from you into the paper, if that makes sense. Basically not up and down or left and right.
Next another rectangular prism from the right side with 2 height, 2m length and again 5m width.
Now you have a trapezoidal prism with one base of length 1m, another of base 2m and a height of length 4m.
To fond the volume of prisms you want to find the area of their bases then multiply it by their heights. In this instance height is going to be the width again, and the bases are th parts facing us on the picture.
For a rectangular prism area of the base is easy, just multiply length by height. a trapezoid is taking the two bases (b1 and b2) ading them together and dividing that sum by 2, THEN taking this new number and multiplying it by what would be the height of the trapezoid. the trapezoid has its bases as two heights, and its height then would be the horizontal length of the pool. Sorry if that is confusing. Here are the three volumes though.
Rectangular 1: 4*1*5 = 20 m^3
Rectangular 2" 2*2*5 = 20m^3
Trapezoidal: = ([1+2]/2)*4*5 = 30 m^3
So total it is 70 m^3
The question then says each cubic meter can contain 1,000 liters of water. 70 m^3 then is 70,000 liters
The question also says there are three barrels of 20,000 liters each, so combined that's 60,000 liters.
Finally it wants to know if Sam is right saying if you dump all of the 60,000 liters into the pool the surface of the water will not reach the top of the pool by 10 cm. 60,000 is less than 70,000, but we don't know how much lower it is in cm.
The trick here is to know that we are lowering a specific dimension of each prism to a certain amount to be lower by 10cm
In the 4x1x5 rectangular prism the 1m side is lowering.
In the 2x2x5 rectangular prism the 2m side representing the vertical length is getting some amount taken away.
int he trapezoidal prism both of the "bases" are getting an amount taken.
So the trick here is to set up the math again, except this time with 10 cm less being subtracted from each part, then solving t and see if it gets us the 60,000 liters or 60 m^3. Since we are measurng in meters, 10 cm less is the same a subtracting .1, or if you prefer subtracting a decimeter.
4*1*5 becomes 4(.9)5 = 18
2*2*5 becomes 2(1.9)5 = 19
Trapezoidal: = ([1+2]/2)*4*5 becomes ([(.9)+(1.9)]/2)*4*5 = 28
Adding this all together gets us 65 or 65,000 liters. This means that if the pool is filled 10 cm from the top the volume would be 65,000 liters, still more than if the three tankers are emptied completely into it.
You could have probably just done the second part, where we sbtracted 10 cm from each of the dimensions, but I am going to leave it all since I wrote it.
9514 1404 393
Answer:
Sam is not correct.
Step-by-step explanation:
As shown in the attachment, the "base" (front face) of this prism can be divided into a rectangle and a trapezoid. The relevant area formulas are ...
A = LW . . . . area of a rectangle of length L and width W
A = 1/2(b1 +b2)h . . . . area with parallel bases b1 and b2 and height h
__
The rectangle portion of the "base" of the pool has area ...
A = (10 m)(1 m) = 10 m²
The trapezoid portion of the "base" of the pool has area ...
A = 1/2(6 m +2 m)(1 m) = 4 m²
Then the "base" area is ...
B = 10 m² +4 m² = 14 m²
__
The volume of the prism is given by ...
V = Bh . . . . where B is the base area and h is the distance between bases
V = (14 m²)(5 m) = 70 m³
We are told that 1 m³ = 1000 L and that 3 tankers of 20,000 L each are emptied into the pool. That leaves an unfilled volume of ...
70 m³ -3×(20 m³) = 10 m³ . . . . unfilled volume
__
The surface area of the pool is ...
A = LW = (10 m)(5 m) = 50 m²
So the unfilled volume has a height of ...
V = Bh
10 m³ = (50 m²)h
h = (10/50) m = 20/100 m = 20 cm . . . . . the height of the unfilled space
The water in the pool will be 20 cm below the top, not 10 cm. Sam is not correct.
1. My number has two digits.
2. Double my number is less than 150.
Follo
ther
3. I am not divisible by 12.
4. My digits are different from each other.
5. The second digit in my number is divisible
by an odd number.
6. My first digit is less than my second digit.
7. My digits add up to 14.
way.
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {Your\:answer\:is\:59.}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]
1. My number has two digits.
59 is a two-digit number. ✔2. Double my number is less than 150.
Double of 59 is 118, which is less than 150. ✔3. I am not divisible by 12.
Since 59 is an odd number, hence it is not divisible by 12. ✔4. My digits are different from each other.
The digits 5 and 9 are different. ✔5. The second digit in my number is divisible by an odd number.
9 is divisible by an odd number, i.e. 3. ✔6. My first digit is less than my second digit.
5 is less than 9. ✔7. My digits add up to 14.
5 + 9 gives us 14. ✔Therefore, the required number is [tex]\sf\pink{59}[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Answer:
59
Step-by-step explanation:
two digits, 59=118, unable to divide by twelve since its an odd number, 9÷3=3, 5<9, 5+9=14
If ⅔ of a number is 20 what is ½ of the number?
Answer:
15
Step-by-step explanation:
2/3 of 30 is 20, so 1/2 of 30 is 15
the answer is in the image above
If 5(y-2) - 3(y + 4) = 0, then y
IS
A. -1
B. 3
C. 7
D. 11
Answer:
Y is -1.
Step-by-step explanation:
If you substitute the values, you find that that's the correct answer.
A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find tanB, sin B, and cos B. (WORK INCLUDED GIVING BRAINLEST TO BEST ANSWER)
9514 1404 393
Answer:
tan(B) = 12/5sin(B) = 12/13cos(B) = 5/13Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationships.
Sin = Opposite/Hypotenuse ⇒ sin(B) = 12/13
Cos = Adjacent/Hypotenuse ⇒ cos(B) = 5/13
Tan = Opposite/Adjacent ⇒ tan(B) = 12/5
PLZZZZZZZZZZZZZZZZZZZZZ HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Task #2 EZ Coasters
Emma and Zeke own an on-line business, EZ Coasters, that sells cork beverage coasters, which can be bought plain or with logos. The price for both types of coasters is $3.00 each. There is also a one-time set-up charge of $25 for coasters with a logo.
1) Write an equation describing the relationship between:
a) The number of plain coasters bought and the cost of the coasters.
b) The number of coasters with a logo bought and the price of the coasters.
c) Is either coaster relationship proportional? Explain in writing how you know.
d) Explain what the unit rate of the line described by each equation means in the context of the coasters.
2) EZ Sales also sells plain natural sandstone coasters for $4.00 each.
a) Write the equation describing this relationship.
b) Indicate whether or not it is a proportional relationship and explain why?
c) Will the graph of this equation ever intersect the graph of the equations for either of the other two EZ Coasters? Explain in typing how you made your decision.
Answer:
7
Step-by-step explanation:
Hi if you have a 65% grade can a 80% bring it up to a C 70%
Answer:
Not a 70%, but a 72.5% (or a 73%)
Step-by-step explanation:
Assuming that the 65% is the first grade and the 80% is your second, adding both numbers and dividing by 2 will get you 72.5%.
The best possible grade you can get from that 65% is an 82.5%, or 83% if you round the grade up. 100+65=165÷2 will get you 82.5.
16. Rachael teaches at the college and it pays $3000 per month. She spends $50 on groceries per
week. Netflix costs $9 per month. She pays $50/month for internet. Utilities cost $200 per
month. Rachael's phone bill is $82 per month. Find the net monthly cash flow. (assume 1 month
= 4 weeks).
Answer: Rachel gets a total of 2459 dollars to save each month.
Step-by-step explanation:
200+9+50+200+82=541
3000-541=2459
Can I get an awnser to both of these questions? Thank you!
Answer:
y+1=7(x+4) for first one
y-4=5(x-0) for second one
Step-by-step explanation:
point slope form for both of those questions.
the formula for point slope form is
y-y1(y coordinate) = slope(x+x2(x coordinate))
y+1=7(x+4)
Second question:
-1,-1 to 0,4
change in x +1, change in y +5.
5/1 = 5
slope is 5
y-4=5(x-0)
giving brainliest please answer
(answer D is) Marco's, George, Andy, Rubens
A
B
C
D
?
what is the answered
pp lssss answer
[tex]\boxed{ \underline{ \bf \: Categorical}} \sf \: data \: set \: is \: the \: data \: set \\ \sf \: that \: deals \: with \: only \: non \: numerical \: values.[/tex]
Optoion C. Categorial data set is the right answer of the question given.
RaonbowSalt2222
Find HG and HI. Pleaseeee help :/
what is 2+2+3+3+5+6
Answer:
21
Step-by-step explanation:
21
21
21
Answer:
Simple addition the answer is 21.
Do 5, 5, and 5 form a right triangle?
Please help
A. B.C. D
How do I solve this and answer?
Step-by-step explanation:
at first solve first triangle with Pythagorean solving witch it c²=a²+b²
you have to change a bit so it will be c²-b²=a²
you start with 8 and 10 triangle and then you get line which is in the middle and yo udo just the same with triangle 8 and the solved side and you get x in the second triangle you have to use c²-a²=b²
(07.04 LC)What is the solution to the equation ax = 2?
Ox= 1
Ox=1
- کی
Ox= 3
O x = 12
Plz helppp
Answer:
x=12 .
Step-by-step explanation:
See image below:)
write 145,567 in expanded notation
Answer:
100000+45000+500+60+7
In a survey of 1000 people, 700 people said that they voted in the last presidential election. Let p denote the proportion of all people who voted. Find a point estimate for p and also construct a 90% confidence interval for p.
a) 0.700, (0.676, 0.724)
b) 700, (0.676,0.724)
c) 700, (0.642,0.767)
d) 0.700, (0.642,0.767)
e) 0.300, (0.276, 0.324)
Answer: a) a) 0.700, (0.676, 0.724)
Step-by-step explanation:
Confidence interval for population proportion p :
[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
[tex]\hat{p}[/tex] = Sample proportion, n= sample size, z* = Critical value.
Let p denote the proportion of all people who voted.
As per given, n= 1000
[tex]\hat{p}=\dfrac{700}{1000}\\\\=0.7[/tex]
z* for 90% confidence = 1.645
Required confidence interval :
[tex]0.7\pm (1.645)\sqrt{\dfrac{0.7(1-0.7)}{1000}}\\\\=0.7\pm(1.645)\sqrt{0.00021}\\\\=0.7\pm (1.645)(0.0145)\\\\=0.7\pm 0.0238525\\\\=(0.7-0.0238525,0.7+0.0238525)\\\\=(0.6761475,\ 0.7238525)\approx(0.676, 0.724)[/tex]
hence, the correct option is a) a) 0.700, (0.676, 0.724)
Butch will miss an important TV program while taking his statistics exam, so he sets
both his VCRs to record it. The first one records 70% of the time, and the second one
records 60% of the time. What is the probability that he gets home after the exam and
finds? (We assume that events A and B are independent, so with P(A)=0.7 and
P(B) = 0.6 respectively.)
(a) No copies of his program?
(b) One copy of his program?
Answer:
b
Step-by-step explanation:
this because both VCSs were recording on the same time hence Butch will have two copies of record and the A vcr having an Extra of what B vcr will
Alex drives at an average speed that is
1
5
of the average speed that Roy's train travels.
Alex takes 15 minutes to travel 12 km in her car.
Roy travels for 1 hour and 20 minutes on his train.
How far does Roy travel to 2 dp?
plz i need asap
Answer:
ayy sensya na po Yan din po hanap Kong answer
Which of the following represents the solution to the inequality 215-2xl-3315?
O (-60,-2) (7.00)
O (-0,1.5) (7.5.00)
O 1-2, 7]
O [1.5, 7.5]
9514 1404 393
Answer:
(c) [-2, 7]
Step-by-step explanation:
We can solve the inequality for an expression in x.
2|5 -2x| -3 ≤ 15
2|5 -2x| ≤ 18 . . . . . . add 3
|5 -2x| ≤ 9 . . . . . . . . divide by 2
We prefer a positive coefficient of x, so we'll multiply inside the absolute value by -1. This does not change the absolute value. (|-1| = |1|, for example)
|2x -5| ≤ 9
Now, we can "unfold" this to get the compound inequality ...
-9 ≤ 2x -5 ≤ 9
-4 ≤ 2x ≤ 14 . . . . . add 5
-2 ≤ x ≤ 7 . . . . . . . divide by 2
The solution interval is [-2, 7].
__
The graph shows the equation of the given form f(x) ≤ c converted to the form f(x)-c ≤ 0. The graphing calculator highlights x-intercepts easily, so we take advantage of that to show the solution interval bounds. The graph is less than zero between the bounds.
Please help ASAP ASAP
Step-by-step explanation:
[tex] \sqrt{53} [/tex]
find slope from the pair of points (2,-2) (-5,4)
Answer:
-6/7
Step-by-step explanation:
If we have two points, we can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 4 - -2)/( -5 -2)
= ( 4+2) /(-5-2)
= 6/-7
= -6/7
This holiday season, Ms. Bastarache organized to give each 9th grader a $10 Dunkin Donuts gift card. Because she bought a lot of cards, Ms. Bastarache tipped the Dunkin Donuts employee $20.
This function represents the relationship between the number of gift cards, c, and T(c), the total cost of the cards.
T(c) = 10c + 20
Be sure to answer BOTH questions below.
1. Determine the total cost, in dollars, for Ms. Bastarache to give out 93 gift cards.
2. Last year, Ms. Bastarache spent $820, how many cards did she purchase?
need help asap plzzzzzz
Answer:
1. $950
2. 80
Step-by-step explanation:
a housewife spent 3/7 of her money to buy yams and 1/2 of the remainder to buy rice what is the fraction of her money left
Answer:
Fraction of money spent on calculator = 2/5
Find the fraction of money left:
1 - 2/5 = 3/5
Find the fraction of money spent on a book:
4/7 x 3/5 = 12/35
Answer: She spent 12/35 of the money on a book
------------------------------------------------------------------------------------------------
To find the fraction of saving:
Fraction of money saved = 1 - calculator - book
Fraction of money saved = 1 - 2/5 - 12/35 = 9/35
Fraction of the money saved = 9/35
Step-by-step explanation: