Answer:
The diameter of a circle with an area of 100 square miles is 20/√π miles.
Step-by-step explanation:
Area =100 = πr^2.
diameter = d = 2r.
100 = πr^2.
100/π = r^2.
√(100/π) = r.
10/√π = r.
d = 2r.
d = 2 * 10/√π.
d = 20/√π
Pls help and give me right anwser
Answer:
Step-by-step explanation:
s+1+2s-1+90=180 degree(being linear pair)
3s+90=180
3s=180-90
s=90/3
s=30 degree
Answer:
s = 30
Step-by-step explanation:
the total angle is a straight angle that's composed of a right angle and 2 unknown angles.
straight angle = 180°right angle = 90°
(s + 1) + 90 + (2s- 1) = 180
s + 2s + 90 + 1 - 1 = 180
3s = 180 - 90
3s = 90
s = 90/ 3
s = 30
Pre-calc, image attached
Answer:
[tex]\lim_{x \to \(-1} f(x)=-2[/tex]
Step-by-step explanation:
In order for a limit to exist in a piecewise function, both its right-side and left-side limits must be equal to each other:
So, if we plug in x=-1 for the left side limit, we get 2cos(πx) = 2cos(π(-1)) = 2cos(-π) = 2(-1) = -2Plugging in x=-1 for the right-side limit, we get 2/cos(πx) = 2/cos(π(-1)) = 2/cos(-π) = 2/(-1) = -2Since both the right-side and left-side limits are equal to each other, we can say that the limit of f(x) as x approaches -1 is -2, therefore the limit existsSee the attached graphCan you explain how you answered it thank you!
x=
y=
Answer:
x = 1.5 or 1 1/2
y = 8
Step-by-step explanation:
Solving for x:
2x + 1/2 y = 7
6x - 1/2y = 5
Add both equations:
2x + 1/2 y + 6x - 1/2y = 7 + 5
8x = 12
x = 1 1/2
Solving for y:
2x + 1/2y = 7
We know x, so lets input
2(1.5) + 1/2y = 7
3 + .5y = 7
0.5y = 4
y = 4*2
y = 8
Check with the other equation
6x - .5y = 5
6(1.5) - 0.5y = 5
9 - 0.5y = 5
0.5y = 9 - 5
0.5y = 4
y = 4 * 2
y = 8
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
CAN SOMEONE PLEASE HELP ME AND SOLVE THE PROBLEM STEP BY STEP IF IT WAS DONE CORRECTLY I WIL PUT U AS BRANLIEST THANK YOU!!!
Answer: (5,3)
Step-by-step explanation:
y=x^2-10x+28
Complete the square.
y=(x-5)^2+3
Use the vertex form, y=a(x-h)^2+k to find the values of a, h, and k.
a=1
h=5
k=3
Find the vertex (h, k).
(5, 3)
Using the graph, determine the
coordinates of the vertex of the parabola.
Y
10
9
8
6
5
4
3
2
1
X
-10 -9
-8
-7
-6
-5 -4 3
-2
-1
1
2
3
4
5
6
7
8
9
10
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
Answer:
twenty thousand and two
Leo is working part time as a server in a restaurant. He makes $8.14 for each hour he works, and on average earns an additional $300 per week in tips. Which function, f(x), can Leo use to model his average weekly salary in terms of the number of hours, x, he works?
Answer:
f(x) = 8.14x + 300
Step-by-step explanation:
The function of 8.14x + 300 can be used to model Leo's average weekly salary in terms of x.
What is a function?' A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.'
According to the given problem,
Amount Leo earns for each hour he works = $8.14
Amount Leo earns in x hours = $8.14x
Amount Leo earns as additional tip per week = $300
Therefore, the function of x is,
⇒ f(x) = 8.14x + 300
Hence, we can conclude, the function that can be used to model his weekly salary is 8.14x + 300
Learn more about function here: https://brainly.com/question/9046022
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Express the following division in the form of a + bi: (1+3i)(2+i)
Answer:
[tex](1 + i\,3) \cdot (2 + i) = -1 + i\,7[/tex]
Step-by-step explanation:
We proceed to present the procedure by algebraic means:
1) [tex](1 + i\,3)\cdot (2 + i)[/tex] Given
2) [tex]2\cdot (1 + i\,3) + i\,(1+i\,3)[/tex] Distributive and Commutative Properties
3) [tex]2 + i\,6 + i + i^{2} \,3[/tex] Distributive, Commutative and Associative Properties
4) [tex]2 + i\,7 -3[/tex] Definition of imaginary number/Distributive, Commutative and Associative Properties
5) [tex]-1 + i\,7[/tex] Commutative and Associative Properties
If you were to pick one day of the year at random, is it more likely that the day would be a Tuesday or that the day would fall during the month of January?
Answer and explain in your own words why you chose what you chose.
Answer: It's more likely it's a Tuesday
========================================================
Explanation:
The odds of it being a Tuesday is 1/7 since there's 1 day of the week that's Tuesday out of 7 total.
The odds of it being January is 1/12 because we have 1 month we want out of 12 total.
Now the question is: which fraction is larger?
For now, assume they are equal. We'll cross multiply like so
1/7 = 1/12
1*12 = 7*1
12 = 7
We get a false statement at the end, but we can fix things by replacing the equal sign with a greater than sign to get this new set of steps
1/7 > 1/12
1*12 > 7*1
12 > 7
which leads us to a true statement. Therefore, 1/7 is the larger fraction and the more likely event.
-----------------
Alternatively, you can use your calculator to find that:
1/7 = 0.143 approximately1/12 = 0.083 approximatelyThen for each decimal, move the decimal point 3 spots to the right. The values 0.143 and 0.083 become 143 and 83 respectively. We can see that 143 is larger, which means 0.143 is larger, and lastly 1/7 is larger. Think of it like a chain.
Calculate the value of c in the following square using the information given.
с
W.
Х
10.6 cm
b
Z
0
c = 15 cm
c = 16 cm
c = 17 cm
O c = 18 cm
9514 1404 393
Answer:
c = 15 cm
Step-by-step explanation:
The congruent diagonals are perpendicular bisectors of each other, so ∆WVX is an isosceles right triangle. The length of c is √2 times the length WV, so is ...
c = (√2)(10.6 cm) ≈ 15.0 cm
A 50 foot ladder is set against the side of a house so that it reaches up 48 feet. If Jack
grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the
side of the house will the ladder reach now? (The answer is not 44 ft.) Round to the
nearest tenth of a foot.
1.4 feet
let me know if you get it right hope i helped!
Answer:
14
Step-by-step explanation:
a2+(48)2=
502\,\,50^{2}502
Use the Pythagorean Theorem.
a2+2304=a^{2}+2304=a2+2304=
2500\,\,25002500
Simplify.
−2304-2304\phantom{=}−2304=
−2304\,\,-2304−2304
Subtract 2304 from both sides.
a2=a^{2}=a2=
196\,\,196196
a2=\sqrt{a^{2}}=a2
=
±196\,\,\pm\sqrt{196}±196
Square root both sides.
a=a=a=
14\,\,1414
Simplify. Ignore negative root, as length must be positive.
help now
options on second pic
Answer:
D. -8√70 + 7√2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Simplifying radicalsStep-by-step explanation:
Step 1: Define
Identify
√7(-8√10 + √14)
Step 2: Simplify
[Distributive Property] Distribute √7: -8√70 + √98Reduce: -8√70 + 7√2Which of the following is equivalent to 3 cm??
A.
B.
6 mm2
30 mm
90 mm-
300 mm
C.
D.
Answer:
30mm
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth 10 20
if only i knew I would love to help you sorry
please answer its due tomorrow ill give brainiest no links or scam
Answer:
4: 1 2/3
5. 5/21 b. 1/4 c. 11/18 d. 3/20
6. 11/12 b. 10/12 < 11/12
7. 4/45
Step-by-step explanation:
4. 1/3 times 5
6. just add
7. 1/5 minus 1/9
Answer:
hey this is my alt acount im doing this so i can give brainiest
Step-by-step explanation:
-\frac{1}{10}-x^3+x^4+3x
−
10
1
−x
3
+x
4
+3x
Answer:
Its really simple
Step-by-step explanation:
first you take the 10 then turn it into joe then mama
Answer:
-1/10 - 1x^3 + x^4 + 3x
Step-by-step explanation:
negative one tenth minus 1x exponet 3 plus x exponent 4 plus 3x
Find value of x
A.)46
B.)80
C.)15
D.) 26
The two angles are supplementary angles, which when added together equal 180 degrees.
6x -10 + 6x +10 = 180
Combine like terms:
12x = 180
Divide both sides by 12:
x = 180/12
x = 15
The answer is C) 15
You have 90 degree triangle and the adjacent is 24, the opposite is 32, and the hypotenuse is 40. What is the value of tan W rounded to the nearest hundredth, if necessary.
Answer:
sorry need points Step-by-step explanation:
sorry need points sorry need points
what is the answer help me pls ASAP
Find (from (3)
f(x) = x^2 - x
Answer:
I think the answer is 6.......
how do I multiply and divided exponent denominator and numerator
9. A building 62 feet tall casts a shadow 21 meters long. At what angle is the sun shining on the building?
A. 19.80
B. 18.71
C. 70.20
D. 71.29
First, we imagine a right triangle. Second, we are given that the building is 62 feet tall. Since the height of building is vertical straight - that means the height is opposite side of triangle. It also casts a shadow 21 meters long. Shadow should be the adjacent side because it casts on the ground and not on the air.
If we imagine the right triangle + the problem in our head, we'd get the triangle that the opposite side is 62 feet tall and the adjacent side is 21 meters long.
Use the tangent ratio to find the angle of sun shining.
[tex] \large \boxed{ \tan \theta = \frac{opposite}{adjacent} }[/tex]
Substitute adjacent = 21 and opposite = 62 in the ratio.
[tex] \large{tan \theta = \frac{62}{21} }[/tex]
For this part, you might need a calculator or trigonometric table because some values cannot be exactly found.
From the equation, we should get 71.288 which we round the answer to nearest hundreth and the answer would be 71.29
Answer
The answer is 71.29Answer:
71.29°
Step-by-step explanation:
By question its given that , a 62 feet tall tree cast a shadow of 21 m long. We need to find the angle at which the sun is shining on the building .
For this we gonna imagine a right angle triangle . Where , the length of the shadow will be the base of the triangle and the height of the building will be the perpendicular on the triangle .
Here since we have got perpendicular and base , we can use the ratio of tan . We know that tan is defined as perpendicular by base , that is ,
[tex]\implies tan \theta =\dfrac{perpendicular}{base}[/tex]
where theta is the angle between the Ray of the the sun and the the shadow of the building.Plug in the respective values , we have ,
[tex]\implies tan \theta =\dfrac{62}{21} \\\\\implies\theta = tan^{-1}\bigg( \dfrac{62}{21}\bigg) \\\\\implies \underline{\underline{\theta = 71.29^o }}[/tex]
Hence the required answer is 71.29° .
Which negative angle is equivalent to 285 degrees?
A.-85 degrees
B.-95 degrees
C.-65 degrees
D. -75 degrees
By definition of coterminal angles, the negative angle that is equivalent to an angle of 285° is equal to - 75° degrees. (Correct choice: D)
How to find a negative coterminal angle?
In this problem we must determine a negative angle coterminal to a given angle, two angles are coterminal when both have the same direction. Given that a complete revolution is done each 360°, we can derive an expression for angles coterminal to a given one:
θ' = θ + i · 360° (1)
Where i is the index of the coterminal angle.
If we know that θ = 285° and i = - 1, then the negative angle is:
θ' = 285° + (- 1) · 360°
θ' = - 75°
By definition of coterminal angles, the negative angle that is equivalent to an angle of 285° is equal to - 75° degrees. (Correct choice: D)
To learn more on coterminal angles: https://brainly.com/question/23093580
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Help me please I really need help
Answer:
[tex]17\sqrt{2}[/tex] ft
Step-by-step explanation:
take angle b as reference angle
using sin rule
sin 45 = opposite / hypotenuse
[tex]\frac{1}{\sqrt{2} }[/tex] = 17 / BC
BC =17 / [tex]\frac{1}{\sqrt{2} }[/tex]
BC = 17 * [tex]\sqrt{2}[/tex]
BC = [tex]17\sqrt{2}[/tex] ft
Answer:
BC = 17[tex]\sqrt{2}[/tex] ft
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{17}{BC}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
BC = 17[tex]\sqrt{2}[/tex] ft
Question 1 of 10
Classify the following triangle. Check all that apply.
60
60
60
O A. Isosceles
B. Equilateral
O C. Scalene
O D. Acute
E. Right
Answer:
A, B, & D
Step-by-step explanation:
A. isosceles - 2 sides equal (actually) all sides are equal
B. equilateral - all sides equal and all angles are equal too
D acute - all angles are less than 90 degrees
Which expressions are equivalent to the one below? Check all that apply.
log 2 - log 6
A. log(2) + log(1/6)
B. log 2
C.log(1/3)
D. log 3
Answer:
is there a picture or something i cant understand
Step-by-step explanation:
Answer:
C. log(1/3)
Step-by-step explanation:
log a - log b = log(a/b)
2 x 12 divided by (2 + 6) +2^3
Answer:
11
Step-by-step explanation:
To add fractions, find the LCD and then combine or Pemdas
Answer:
Your answer should be 1.5
Step-by-step explanation:
Can I get brainliest
Which expression represents the series 1+5+25+125+625
Answer:
[tex]1 = {5}^{0} [/tex]
[tex]5 = {5}^{1} [/tex]
[tex]25 = {5}^{2} [/tex]
[tex]125 = {5}^{3} [/tex]
[tex]625 = {5}^{4} [/tex]
option A is correct, it starts with the power of zero (equals always one, see it as
[tex] \frac{5}{5} [/tex]
and it goes up to the power of 4
Letter D thanks for asking for help
Find the circumcenter of a triangle ABC with vertices at A(2, 2), B(0, -4), and C(7, -1)
20 POINTS PEOPLE
Answer:
just sum up the 3 sides.
quick side note: I lost my previews writing bc I waited too long too post it :(
but long story short: you get the length of, say, AB by using pythagoras theorem.
[tex] \sqrt{ {2}^{2} + {6}^{2} } [/tex]
do this with BC and CA too
the 2 is just the distance in x-direction and the 6 is just the distance in y-direction
and since a²+b²=c², we need to take the root to get the distance between 2 points
see screenshot for summing up the three distances. the part out of screen is written out above
the sum is 21.011 length units
hope it helps. have a nice day.
feel free to ask questions.
and maybe, if I'm feeling really nice and a lil bored, i leave greeting answers under yours to enable posters to give gives brainliests. if theres no 2and answer at least
The width of an extra large rectangle poster is 8 inches more than half its length.The area of this poster is 306 square inches
Answer:
a² + 16a - 612 = 0
Step-by-step explanation:
Here is the complete question :
The width of an extra large rectangle poster is 8 inches more than half its length. The area of this poster is 306 square inches
Write an equation in one variable that could be used to find the number of inches in the dimensions of this poster.
Area of a rectangle = length x width
Let length = a
width = 8 + 1/2a
Area = (8 + 1/2a) x a
306 = (8 + 1/2a) x a
multiply both sides of the equation by 2
612 = 16a + a²
a² + 16a - 612 = 0
the dimensions of the poster can be determined using quadratic formula
(ii) 3x - 5y - 4 = 0 and 9x = 2y +7
Step-by-step explanation:
3×‐9×-5y-2y =0-7
-6x-7y =-7
Answer:
[tex]x = \frac{9}{13} \ , \ y = - \frac{5}{13}[/tex]
Step-by-step explanation:
3x - 5y = 4 ----------- ( 1 )
9x - 2y = 7 -----------( 2 )
______________________
( 1 ) x 9 => 27x - 45y = 36 ----------------- ( 3 )
( 2) x 3 => 27x - 6y = 21 -------------------( 4 )
_____________________
( 3 ) => 27x - 45y = 36
- ( 4 ) => -27x + 6y = - 21
____________________
( 3 ) - ( 4 ) => 0x - 39y = 15
-39y = 15
[tex]y = \frac{15}{-39} = -\frac{5}{13}[/tex]
Substitute y in ( 1 ) :
[tex]3x - 5y = 4\\\\3x - ( 5 \times -\frac{5}{13}) = 4\\\\3x + \frac{25}{13} = 4\\\\3x = 4 - \frac{25}{13}\\\\3x = \frac{52 - 25}{13}\\\\3x = \frac{27}{13}\\\\x = \frac{27}{13 \times 3}\\\\x= \frac{9}{13}[/tex]