Answer:
because angle DCA is equal to angle CAB so side DC is parallel to side AB=> DCAB is a parallelogram=> 20x-7=15x+3=>x=2
Two similar spheres have a scale factor of 2:5. What is the ratio of their surface areas?
Answer:
4:25
Step-by-step explanation:
Sphere surface area = 4 pi r^2
now change r to 2.5 r ( to maintain the 2:5 ratio)
area2 = 4 pi (2.5 r)^2 = 6.25 * 4 pi r^2
so ratio of surface areas is 1 : 6.25 = 4:25
If two similar spheres have a scale factor of 2:5. Then the ratio of their surface areas will be 4 / 25.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Two similar spheres have a scale factor of 2:5.
Let the r₁ and r₂ be the radius of the spheres. Then we have
r₁ / r₂ = 2 / 5
Then the surface area of the sphere is given as
Surface area = 4πr²
Then the ratio of their surface areas will be
[tex]\rightarrow \dfrac{4\pi r_1^2 }{4\pi r_2^2} = \left (\dfrac{r_1}{r_2} \right )^2[/tex]
Then we have
→ (2 / 5)²
→ 4 / 25
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Find the surface area of the triangular prism shown below.
Which situation best describes conditional probability?.
Using it's concept, it is found that the situation that best describes conditional probability is given by:
4. Finding the probability of an event occurring given another event had already occurred.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.The key-word is previous, that is, we have to consider a previous event that already happened. Hence, researching the problem on the internet, the correct option is given by:
4. Finding the probability of an event occurring given another event had already occurred.
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can someone help me with this?
Answer:
36 ft.
Step-by-step explanation:
The given perimeter of triangle EDF is 12, in which the hypotenuse is 5. This means that it is a 3-4-5 triangle, meaning that ED = 3, DF = 4, EF = 5.
It is given that BC (the other triangle's hypotenuse) is 15. This means that the left triangle is to the scale factor of 3 of triangle EDF. Therefore, multiply 3 to all sides measurements, and then add all the sides to get the perimeter.
Hypotenuse: 5 x 3 = 15
Leg 1: 4 x 3 = 12
Leg 2: 3 x 3 = 9
Perimeter: 15 + 12 + 9 = 36
36 ft. is your answer.
The formula for the distance traveled over time ttt and at an average speed vvv is v\cdot tv⋅tv, dot, t.
Amit ran for 404040 minutes at a speed of about 555 kilometers per hour
What calculation will give us the estimated distance Amit ran in kilometers?
I need help! Find the measure of all sides. Round to the nearest tenth.
Answer:
[tex]let \: the \: angle \: be \: \alpha \\ \tan( \alpha ) = \frac{p}{b} \\ \tan(16.8) = \frac{2.7}{x} \\ x = \frac{2.7}{0.30 } \\ x = 9 \\ now \: by \: using \: pythagoras \: theorem \: \\ h = \sqrt{p {}^{2} } + b {}^{2} \\ h = \sqrt{ {2.7}^{2} } + {9 }^{2} \\ h = 9.396[/tex]
7. Find the L.C.M of 24,15 and 16
Answer:
240
Step-by-step explanation:
Step 1 : Prime factorize the given terms.
24 = 3 x 8 = 3 x 2³15 = 3 x 516 = 4 x 4 = 2⁴Step 2 : Out of the factors of all terms, take the factors with the highest power of different bases and multiply.
⇒ LCM (24, 15, 16) = 2⁴ x 3 x 5
⇒ LCM = 16 x 15
⇒ LCM = 240
Juan can type 27 words in 9 minutes.
What is his rate in words per minute?
words per minute?
Answer:
3 words per minute
Step-by-step explanation: First you divide 9 by 9 to get one then you divide 27 by nine to get 3 simple
Answer:
y=3
Step-by-step explanation:
27=y x 9
27/9= y x 9/9
3=y
3words x9minutes =27words in 9 minutes 3 words a minute.
I used y because x would look tacky next to another x
If B=94, Then what is B-(8x4)?
Answer:
62
Step-by-step explanation:
If B = 94, then it'd be 94 - (8*4)
94 - 32
62
Find the vertex of this parabola. y = -2x2 4x 12 a. (-4, 12) b. (-2, 6) c. (3, 6) d. (1, 14)
We will see that the vertex of the quadratic equation is at (1, 14)
How to find the vertex of a quadratic function?For a general quadratic:
[tex]y = a*x^2 + b*x + c[/tex]
The x-component of the vertex is at:
[tex]x = -b/2a[/tex]
In this case, we have:
[tex]y = -2x^2 + 4x + 12[/tex]
Then the vertex is at:
[tex]x = -4/(2*-2) = 1[/tex]
To get the y-component of the vertex, we need to evaluate in x = 1.
[tex]y = -2*1^2 + 4*1 + 12 = -2 + 4 + 12 = 14[/tex]
Then we conclude that the vertex is at (1, 14), so the correct option is d.
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three-quarters of a number is 12 more than two-third of the number what is the number
Answer:
oww my brain but umm 3 i think
Step-by-step explanation:
pretty sure
33, EDUCATION In a certain small town,
65% of the adults are college graduates.
How many of the 240 adults living in
the town are college graduates?
tooo
Answer:
156 adults are college graduates
Step-by-step explanation:
To find the answer we have to find 65% of 240.
[tex]240 \times \frac{65}{100} = \\ \\ \frac{15600}{100} = \\ \\ 156[/tex]
I need help with this asap .. i have to get it done before morning
Answer:
Can you please tell me what you need done?
Step-by-step explanation:
I would love to help you but it seems you haven't put any information.
what does tally mean?
Answer:
To mark or take note of.
Step-by-step explanation:
Mason is slicing butter for the meal he is preparing describes the vertical cross-section when the knife slices to the butter parallel to its sides?
The vertical cross-section when the knife slices to the butter parallel to its sides is a rectangle with dimensions of 5 in by 2.5 in or 3 in by 2.5 in.
What is a three dimensional figure?A three dimensional figure is a polygon with length, width and height. Examples are cone, cylinder, prism, pyramid and so on.
The shape of the butter is rectangular prism. The vertical cross-section when the knife slices to the butter parallel to its sides is a rectangle with dimensions of 5 in by 2.5 in or 3 in by 2.5 in.
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Answer:
the answer for this question is 3 in 2.5 inches or 5 in 2.5 inches
Step-by-step explanation:
I need help question is in image.
Of 750 people surveyed, 440 were male and 345 had cell phones. Of those with cell phones, 205 were female. What is the probability that a person surveyed was male or had a cell phone?
before i continue my keyboard is malfunctioning so bear with me
answer:
25/68
Step-by-step explanation:
total number-750
males-440
females-750-440=310
those with Cell -345
females with cell -205
males-345-205=140
male with cell -140/345
=25/68
Answer:
25/68
Step-by-step explanation:
total number=750
Male=440
Female=750-440
=310
People with cell phone= 345
Female with cell phone=205
Male=345-205
=140
Male with cell phone=140/345
=25/68
9
i need help!!
——————-
math geniuses pls help me!
———————
pls!!!
Answer:
A. (-2√2, -2√2)
Step-by-step explanation:
Just use conversion formulas
hope this helps:)
Type the correct answer in each box. use numerals instead of words. a manufacturer tests a certain number of the headsets that are produced each day. if 280 units of that model are tested, and the manufacturer finds 273 headsets without any defects, what is the chance of finding a defective headset? round your answer to the nearest tenth. there is a % chance of finding a defective headset.
The chance of finding a defective headset is 2.5%
How to determine the probability?The given parameters are:
Total = 280
No defects = 273
The number of defective headsets is:
Defective = 280 - 273
Evaluate
Defective = 7
The probability that a defective headset is selected is:
P(Defective) = 7/280
Express as percentage
P(Defective) = 2.5%
Hence, the chance of finding a defective headset is 2.5%
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I NEED THE PROPER ANSWER AND EXPLAINATION PLS
complete these rates:
a) $96 in 3 hours = $ /h
b) 14 g in 2 minutes = g/min
c) 32 m in 10 seconds = m/min
d) $7.40 in 30 minutes = $ /h
e) 660 runs in 8 matches = runs/match
Answer:
See below
Step-by-step explanation:
a) $96 in 3 hours = 96/3 = $32/hb) 14 g in 2 minutes = 14/2 =7 g/minc) 32 m in 10 seconds = 32*60/10 = 132 m/mind) $7.40 in 30 minutes = 7.40*60/30= $14.8 /he) 660 runs in 8 matches = 660/8 = 82.5 runs/matchthe spinner will be spun three times. what is the porbability of spinning an odd number all three times?
A.1/8 The spinner looks likes this just i cant add a circle
B.1/4 4 1
C.1/2 3 2
D.3/4
Answer:
I think it is a bit not for shore
How much water fills the prism and what’s the slant height ?
Answer:
I. 56 cubic feet of water.
II. 5 feet
Step-by-step explanation:
The food store sold 88 ice cream cakes in June. If it would sell 25% more ice cream cakes in July, how many more ice cream cakes would they sell in July than in June?
g(x) = x² + x
Evaluate g (a)
Reviewing for up and coming final please help
Answer:
g(a) = a² + a
Step-by-step explanation:
g(x) = x² + x
put x = a
:- g(a) = a² + a
[tex]g(x) = x^2 +x\\ \\g(a) =a^2 +a = a(a+1)[/tex]
Solve the system of equations: y = 2x – 3 y = x2 – 3 A. (0, –3) and (2, 1) B. (0, 3) and (2, 0) C. (–1, –5) and (4, 5) D. (3, 6) and (–3, 6)
Answer:
A. (0,-3) the other possible anser is (2,1) but that's not an option
help me, please!!!!!
Answer:
x-10+2x+5+35=180
3x-5+35=180
3x=180-50
x=150÷3
x=50
Therefore option D is write answer
Answer:
D (x = 50°)
Step-by-step explanation:
Angles in a triangle add up to 180°.
∴ (2x + 5)° + (x - 10)° + 35° = 180°
2x + x + 5 - 10 + 35 = 180
3x + 30 = 180
3x = 150
x = 50°
Hope this helps!
answers to the question
1
5
7
9
11
Answer:
x = 1 , x = 9
Step-by-step explanation:
from the table
f(x) = g(x) = 14 when x = 1 , and
f(x) = g(x) = 6 when x = 9
then the solutions to f(x) = g(x) are
x = 1 and x = 9
 Janet Henderson is a secretary. She works Monday to Friday every week. If she worked a
total of 44.5 hours this week, and her regular pay is $11.46 per hour. What is Janet's
overtime pay?
Answer: Janet's overtime pay is: " $ 17. 19 per hour ."
→ and specifically: " $ 77.36 " ;
→ [for the 4.5 hours of overtime pay worked Within the total 44.5 hours Janet worked within the particular Monday to Friday workweek as given within this particular Brainly question/].
__________
Step-by-step explanation:
__________
Note: Let us assume that up to and including "40 hours within a workweek" is paid as a "base rate of regular pay"—and that any hours worked over "40 hours" count as "overtime hours.."
Furthermore: Let us assume that "overtime pay" is paid at the rate of "time and a half". This means that any and all hours worked over 40 hours are "overtime hours"—and that these "overtime hours" are paid at the rate at "1.5 times" the rate of the regular hourly rate.
__________
Note: A secretary is typically a job that is paid by the "hour"; as opposed to certain management positions (which are paid by "salary").
→ So, we shall assume that the secretary, "Janet Henderson", is a "hourly worker"—who is "non-exempt" from being paid "overtime."
→ So, first, given: Janet Henderson worked Monday through Friday for a total of "44.5 hours."
Note: This amount: "44.5 hours" ; is over "40 hours."
{i.e. " [44.5 hours] > [40 hours] ".}.
Note: Any and all hours Janet earned in excess of 40 hours are considered : "overtime hours."
Now: Let us calculate the number of "overtime hours":
→ We subtract: "40"; from the actual amount of hours Janet worked [which is "44.5 hours"] ;
→ " (44.5 − 40) hours " ;
= " 4.5 hours " (of overtime worked).
Now, we are given that Janet's regular pay is: " $ 11.46 per hour."
→ To solve: Find the value of: " (1.5) * ($ 11.46) " ;
Method 1) Use a calculator: to get: " 17. 19 " .
→ The answer is: " $ 17.19 per hour."
Method 2)
→ " 11.46 + [(1/2)* 11.46] " ;
= "11.46 + (11.46 /2)" ;
Note: Let us start by calculating: "(11.46 / 2)" ; that is: "(11.46 ÷ 2)" .
Method A) Note: " 11.46 ÷ 2 = 5.73 " ; → {Using a calculator.}.
Method B)
Using long division; to get: "5.73 " ; as follows:
5.73
2⟌ 11.46
- 10
1.46
- 1.4
0.06
- 0.06
0.00 .
Now: We can write the expression:
→ " 11.46 + [(1/2)* 11.46] " ; as:
→ " 11.46 + 5.73 " ; & then calculate (add the values);
to get" 11.46 + 5.73 = " 17. 19 "
So; Janet's overtime pay is $17.19 per hour.
Other:
To find the specific, exact dollar amount of overtime pay earned for the "4.5 hours" of overtime worked in the particular Monday to Friday workweek as given within the actual question:
→ We multiply this amount—"17.19 dollars"— by the number of overtime hours that Janet worked—"4.5 hours"—as follows:
→ " [tex]\frac{17.19 dollars}{hr} *\frac{4.5 hr}{1}[/tex] " ;
→ The units of "hr" ["hour(s)"] cancel out to: "1 ";
→ {since: ["hr/ hr " = 1 .] } ;
And we have:
→ " (17.19 dollars * 4.5) = _? dollars " ; Solve for: {the "_?_" value.}:
Using a caculator: We get:
→ 77.355 dollars; ⇒ write as: $77.355 ; round to: " $ 77.36 " .
________
Hope this is helpful to you!
Best wishes to you in your academic pursuits!
________
In a card game, Alex has 2 diamonds 3 spades 4 clubs, and 1 heart. Without being able to see the cards wes is going to pick one of Alex's cards. What is the probability that wes will pick spade or a club
Answer:
4/10 or 40% chance he picks a spade and 3/10 or 30% he picks a club so in total he would have a 7/10 chance or 70% chance of getting spade or club
Step-by-step explanation:
The probability that Wes will pick a spade or a club from Alex's cards is 0.7 or 70%.
To find the probability that Wes will pick a spade or a club from Alex's cards, we need to determine the total number of spades and clubs in Alex's hand and divide it by the total number of cards.
Total number of spades = 3
Total number of clubs = 4
Total number of cards = 2 (diamonds) + 3 (spades) + 4 (clubs) + 1 (heart) = 10
Therefore, the probability that Wes will pick a spade or a club is:
(Picking spade or club) = (Total number of spades + Total number of clubs) / Total number of cards
= (3 + 4) / 10
= 7 / 10
= 0.7
So, the probability that Wes will pick a spade or a club from Alex's cards is 0.7 or 70%.
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PLSS HELP ILL GIVE BRAINLIEST ASAP
Find the surface area of the regular pyramid
Answer:
the surface area of the regular pyramid is 169.19