Answer:
x=40
Y= 35
Angle AEC= 55
Step-by-step explanation:
Answer:
[tex]x = 40 \\y = 35 \\\angle AEC = 55^\circ[/tex]
Step-by-step explanation:
Find x :
[tex]( 3x + 5)^{\circ} + ( x +15)^{ \circ} = 180 ^{\circ}[/tex] [tex][ \ straight \ line \ angles \ ][/tex]
[tex]3x + 5 + x + 15 = 180\\\\4x + 20 = 180 \\\\4x = 160 \\\\x = 40[/tex]
[tex]\angle AED \ = 3x + 5 = 125 ^{ \circ}[/tex]
[tex]\angle DEB = (x + 15 ) = 40 + 15 = 55^{ \circ}[/tex]
Find y :
[tex]( y + 20)^{ \circ} + (4y - 15)^{ \circ} = 180^{\circ}\\\\y + 20 + 4y - 15 = 180\\\\5y + 5 = 180\\\\5y = 175\\\\y = 35[/tex]
[tex]\angle AEC = ( y + 20 ) = 35 + 20 = 55^\circ\\\\\angle BEC = (4y - 15) = 4(35) -15 = 140 - 15 = 125^\circ[/tex]
41. Suppose a laboratory has a 60 g sample of polonium-210. The half-life of polonium-210 is about 138 days.
a. How many half-lives of polonium-210 occur in 828 days?
b. How much polonium is in the sample 828 days later?
a. 6; 0.94 g
c. 6; 10 g
b. 7;0.47 g
d. 6; 4,140 g
ettings
Apply the distributive property to factor out the greatest common factor.
56 + 32 =
2
+
Х
In City Lake, researchers caught, marked, and released 213 bass. Later, they took a sample of 104 bass and found that 13 were marked. Estimate the number of bass in the lake.
A. 1704 bass
B. 520 bass
C. 27 bass
D. 1846 bass
Answer:
A : 1704
Step-by-step explanation:
13/104 = 213/1704
The estimated number of bass in the lake is 1704 bass if the researchers in the city lake caught, marked, and released 213 basses.
What are the population and sample?The population and sample are described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.
We have given that, the researchers caught, marked, and released 213 basses. Later they took a sample of 104 basses and found that 13 were marked.
Proportion = 104/13 = 8
It means 1 marked fish in every 8 fish
The number of basses in the lake = 8×213 = 1704 bass
Therefore, the estimated number of bass in the lake is 1704 bass if the researchers in the city lake caught, marked, and released 213 basses.
Hence, they took a sample of 104 basses and found that 13 were marked option A; 1704 is correct.
Learn more about the population and sample here:
brainly.com/question/9295991
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Convert. Round to 3 decimal places.
7 quarts ≈ ____ liters
1 quart = 0.9463 liters
8 quarts x 0.9463 = 7.5704 liters
Rounded to 3 places 7.540
Also depending on the exact conversion used it could would to 7.541 liters
Answer:
7 quarts = 7.5704
Step-by-step explanation:
We know that
1 quarts = 0.9463 litres
7 quarts = 8 × 0.9463 = 7.5704 litres
Dan earns $9.50 per hour as a dishwasher. Determine the fewest number of hours he must work to earn
more than $408.
Answer:
43 hours
Step-by-step explanation:
[tex]\frac{y}{1} :\frac{408}{9.5}[/tex]
y × 9.5 = 408 × 1
9.5y = 408
9.5y ÷ 9.5 = 408 ÷ 9.5
[tex]y=42\frac{18}{19}[/tex]
43 hours
Ive friends each knit one part of a scarf that is 1 5 12 yards long. Which shows the fractions of the scarf each friend could have knit? A. 1 12 + 2 12 + 3 12 + 8 12 + 4 12 B. 1 12 + 6 12 + 3 12 + 2 12 + 4 12 C. 2 12 + 3 12 + 3 12 + 2 12 + 5 12 D. 5 12 + 1 12 + 4 12 + 2 12 + 5 12
Answer:
D. 5 /12 + 1 /12 + 4/ 12 + 2 /12 + 5 /12
Step-by-step explanation:
Ive friends each knit one part of a scarf that is 1 5/ 12 yards long.
Hencfy, the fractions of the scarf each friend could have knit is calculated by comparing the options
A. 1 /12 + 2 /12 + 3 /12 + 8 /12 + 4 /12
Lowest Common Denominator = 12
Hence = 18/12 = 1 6/12 = 1 1/2
Option A is wrong
B. 1 /12 + 6/ 12 + 3 /12 + 2 /12 + 4 /12
Lowest Common Denominator = 12
Hence = 16/12 = 1 4/12 = 1 1/3
Option B is wrong
C. 2/12 + 3/ 12 + 3/ 12 + 2/ 12 + 5/ 12
Lowest Common Denominator = 12
Hence = 15/12 = 1 3/12 = 1 1/4
Option C is wrong
D. 5 /12 + 1 /12 + 4/ 12 + 2 /12 + 5 /12
Lowest Common Denominator = 12
Hence = 17/12 = 1 5/12
Option D is correct
Therefore, the fractions of the scarf each friend could have knit is Option D
A trader bought 5 bags of rice at GHC 210 each. If he sold them at a profit of 20%, what was the selling price per bag?
Answer:
$252
Step-by-step explanation:
First you need to find how much is 20% is of 210
210*0.20=$42
Add 42 dollars to 210
210+42=$252
So the starting price per bag that he was selling was $252
Clara goes minature golfing. She pays $7.50 admission and $6.25 for each round of she golfs. The total amount Clara pays including admission and the rounds of golf is $26.25. Which equation can be used to determine the number of rounds of golf she did?
Answer:
The equation that can be used to determine the number of rounds of golf she did
7.50 + 6.25x = 26.25
oWhich value completes this table?
Answer:
When x = -1, f(x) = 2
Step-by-step explanation:
f(x) = (1/2)^x
When x = -4
f(x) = (1/2)^x
f(x) = (1/2)^-4
= 1 ÷ (1/2)^⁴
= 1 ÷ 1^⁴/2^⁴
= 1 ÷ 1/16
= 1 × 16/1
= 16
When x = -1
f(x) = (1/2)^x
= (1/2)^-1
= 1 ÷ 1/2^1
= 1 ÷ 1/2
= 1 × 2/1
= 1 × 2
= 2
When x = -1, f(x) = 2
Anyone help me please. A circle has a circumference
of 36. What is the radius of
the circle? Take pi to be 3.142. State the answer to one decimal
place.
The circumference of a circle is pi x 2 x radius.
To find the radius, divide the circumference by pi, then divide that by 2:
36/3.142 = 11.4576703
Radius = 11.4576703/2 = 5.7288
Rounded to one decimal place the radius is 5.7 units.
Answer:
[tex]R=5.7[/tex]
Step-by-step explanation:
[tex]Radius=\frac{Circumference}{2\pi }[/tex]
[tex]R=\frac{36}{2(3.142)}[/tex]
[tex]R=\frac{36}{6.284}[/tex]
[tex]R=5.728835137[/tex]
[tex]R=5.7[/tex]
Hope this helped :)
hey, this is the last thing I'm asking help with today.thank you
Answer:
A
Step-by-step explanation:
the middle angle has to be equal to make the entire angle equal
90×(2÷12) please help its for maths
Answer:
15
Step-by-step explanation:
You would divide 2 by 12 first and then multiply it by 90.
Answer:
Step-by-step explanation:
90 * (2 ÷ 12)
90 *([tex]\frac{1}{6}[/tex])
90*1/6
90/6
15
therefore 15 is the required answer.
Which of these tables represents a function?
(Pleasee it's urgent!!!!)))
Answer:
laaa umm la w..............
A distance of 8.5 kilometers is equivalent to 850 meters.
True
False
Answer:
true
Step-by-step explanation:
Explain Please
x =
8
10
9
Answer:
X = 8
Step-by-step explanation:
The given parameter are;
The length of the segments of the chords are;
Lengths of segments in Chord 1; 5, and X
Lengths of segments in Chord 2; 4, and 10
According to the Intersecting Chords Theorem, where we have two intersecting chords or secants, then, the result of multiplying the segments of one chord is equal to the result obtained from multiplying the segments of the other chord, therefore according to the theorem, we have;
5 × X = 4 × 10
∴ X = 4 × 10/5 = 8
X = 8.
Margo borrows $200, agreeing to pay it back with 2% annual interest after 16 months. How much interest will she pay?
Answer:
$4
Step-by-step explanation:
2/100 x 200 = 4
Factor 56−16 using the GCF.
do not give me a link
F of 56 :- 2 × 2 × 2 × 7
F of 16 :- 2 × 2 × 2 × 2
HCF of 56 - 15 is 6 .
What is the likely means of measurement for the data in the chart below?
a. 100-meter run data
b. seconds
c. stop watch
d. 7 observations
Answer:
C
Step-by-step explanation:
I might be wrong. I hope it helps:)
Please help me answer my question
Answer:
SA= 882cm^2
Step-by-step explanation:
SA=2( width*length + hight*length + hight*width )
SA=2( 9*20+ 9*20+ 9*9)
SA= 2*441
SA=882cm^2
Solve the system using elimination. Show your work! (6 pts)
(7x + 10y = 11
(4x + 3y = -10
Answer:
x=-7
y=6
Step-by-step explanation:
7x+10y=11
4x+3y=-10
-3(7x+10y=11
10(4x+3y=-10
-21x-30y=-33
40x+30y=-100
19x = -133 (divide 19 on both sides)
x= -7
Now put the x in one of the original questions.
7(-7)+10y=11
-49+10y=11 (Add 49 to both sides)
10y=60 (Divide 10 on both sides)
y=6
Which outcome is most likely after a die is rolled?
A.
B.
A number greater than 6
A number less than 6
A number less than 3
A number less than 2
C.
D.
Answer:
a number less then 6 is the anser so the 1st one
Solve the system of equations.
Step-by-step explanation:
[tex] - 6y + 11x = - 36 \\ - 4y + 7x = - 24 \\ 11x = 6y - 36 \\ x = \frac{6y - 36}{11} \\ - 4y + 7( \frac{6y - 36}{11} ) = - 24 \\ - 4y + \frac{42y}{11} - 22.91 = - 24 \\ - 4y + \frac{42y}{11} = - 1.09 \\ - 0.18182y = - 1.09 \\[/tex]
[tex] y = 5.99 = 6 \\ y = 6 \\ x = \frac{6(6) - 36}{11} \\ x = \frac{36- 36}{11} = 0[/tex]
WILL GIVE BRAINLIEST AND 20 POINTS!
Find the slope of the line in the following graph using the points on the graph. Write the exact answer. Do not round. If the slope does not exist, write DNE for your answer.
(-5,2)(6,7)
Answer:
Step-by-step explanation:
Slope = (y2 - y1) / (x2 - x1)
y2 = 7
y1 = 2
x2 = 6
x1 = - 5
There is no particular reason for choosing which one is (x2,y2) and (x1,y1) The slope would turn out to be the same which ever way you tried it.
slope = (7 - 2)/(6 - - 5) Notice the double minus. One of the minus symbols belongs to the formula and the other belongs to the 5
slope = 5/(6 + 5)
slope = 5/11
Answer:
[tex]\frac{5}{11}[/tex]
Step-by-step explanation:
The slope of a line that passes through points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let:
[tex](x_1,y_1)=(-5,2),\\(x_2, y_2)=(6,7)[/tex]
The slope of the line, [tex]m[/tex], that passes through these points is equal to:
[tex]n=\frac{7-2}{6-(-5)}=\frac{5}{6+5}=\boxed{\frac{5}{11}}[/tex]
A petrol can is a rectangular prism with base measurements 15 cm by 30 cm. If the can has capacity 18 liters, find its height
Answer:
I'm probably just really bad at math and got this wrong, but I think the answer is 40 cm. Sorry if this doesn't help, like I said I think I'm just bad at math, which it doesn't really make sense as to why I'm answering a math problem, but anyways there's the (probably wrong) answer.
I really hope that helped :P
Please help!!!! Will give brainliest to the correct answer!! I really need help and I am confused!!
Answer:
Step-by-step explanation:
yes
999f=4,131
Solve for f.
Answer:
4.135
Step-by-step explanation:
f = 4131/999
f = 4131 ÷ 999
4131 ÷ 999 = 4.1351351351
Answer:
4.135
Step-by-step explanation:
f = 4131 / 999 = 4.135
Calculate the sizes of the unknown angles in each diagram.
Please, answer with explanation.
Step-by-step explanation:
a) 2z+3z+4z=180
9z=180
z=20
So,three angles are 40,60 and 80
b) (y+30)+(2y+80)+(y+10)=180
y+30+2y+80+y+10=180
4y+120=180
4y=60
y=15
Three angles are 45,110,25
Judging by appearance, classify the figure in as many ways as possible.
Answer:
A. Quadrilateral, kite
Use SOH CAH TOA to identify the Tangent Z.
SOH = Sine Opposite Hypotenus
CAH = Cosine Adjacent Hypotenus
TOA = Tangent Opposite Adjacent
Based on the key I wrote above, TOA is what you will use. Starting from angle Z look at the opposite side and adjacent side. (Opposite = 21 and Adjacent = 20) Make sure you're not looking at the hypotenus which is the side that is always across from the 90° angle.
Going by opposite over adjacent, that would be 21/20
The answer is the first choice 21/20
Which one is it?
a) <
b) =
c) >
Answer:
B) =
Step-by-step explanation:
When you calculate the equation on the left (32 + 4 = 36) then the one on the right (6 × 6 = 36), and they will be both be equal.
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Have a great summer :)