Step-by-step explanation:
tan 20 = a/6
a = 6 tan 20 = 2.18 = 2.2
c = √(36+4.84)
c = √ 40.84
c = 6.38 = 6.4
The average age of the seven apprentice magicians is 143 years. The average age of the seven apprentice magicians and the head wizard is 150 years. How old is the head wizard in years? Please need answer ASAP!!!!!!!!
Answer:
it would be 200 points. Lets assume that all of the apprentice magicians are 143 years old. If so, then 143 x 7 = 1001. 1001 + 200 = 1201. 1021 ÷ 8 (the number of magicians) the answer is 150. so the age of head wizard is actually 200 years.
MODELING WITH MATHEMATICS The backboard of the basketball hoop forms a right triangle with the supporting rods, as shown. Use the Pythagorean Theorem to approximate
the distance between the rods where they meet the backboard. Round your answer to the nearest hundredth
Express each of the following as a fraction in its simplest form
if u answer for points,
I will take revenge by doing the same on your questions.
Answer:
see explanation
Step-by-step explanation:
(a)
Given
[tex]\frac{y}{3}[/tex] + [tex]\frac{y+3}{5}[/tex]
The common denominator is 15 ( the LCM of 3 and 5 )
Multiply numerator/ denominator of first fraction by 5
Multiply the numerator/ denominator of second fraction by 3
= [tex]\frac{5y}{15}[/tex] + [tex]\frac{3y+9}{15}[/tex] ← add numerators , leaving denominator of 15
= [tex]\frac{5y+3y+9}{15}[/tex]
= [tex]\frac{8y+9}{15}[/tex]
(b)
Given
[tex]\frac{3x}{8}[/tex] - [tex]\frac{x+5}{4}[/tex]
The common denominator is 8 ( the LCM of 8 and 4 )
Multiply numerator/ denominator of second fraction by 2
= [tex]\frac{3x}{8}[/tex] - [tex]\frac{2(x+5)}{8}[/tex] ← simplify numerators leaving denominator of 8
= [tex]\frac{3x-2x-10}{8}[/tex]
= [tex]\frac{x-10}{8}[/tex]
Answer:
a) (8y + 9)/15.
b) (5x + 10)/8.
Step-by-step explanation:
(a) y/3 + (y + 3)/5
The LCD of 3 and 5 is 15 so we have:
5y/15 + 3(y + 3)/15
= (5y + 3(y + 3)) / 15
= (5y + 3y + 9)/15
= (8y + 9)/15.
b) 3x/8 + (x + 5)/4
The LCD of 4 and 8 is 8 so we have:
3x/8 + 2(x + 5)/8
= (3x + 2x + 10) / 8
= (5x + 10)/8.
Between which two integers does [tex]\sqrt{11}[/tex] lie?
[tex]\sqrt{11}=3.31(appx)[/tex]
3.31 lies b/w 3 and 4
Answer:
[tex]\sqrt{11}[/tex] lies between 3 and 4.
Diana decided she needed some new friends to play with. She understood that fish were not fun to hang out with, so she bought 3 baby mice and 2 baby pythons for a total cost of $103.50. Mr. Reyes also thought this was a great idea. He bought 3 baby mice and 3 baby pythons for a price of $148.50. Find the price of the mouse and the price of the python.
Step-by-step explanation:
Let m be the price of 1 baby mice
Let p be the price of 1 baby python
Given,
[tex]3m + 2p = 103.50[/tex]
as equation 1.
and
[tex]3m + 3p = 148.50[/tex]
as equation 2
From here we can easily use elimination method
for solving simultaneous equations.
Use Equation 1 - equation 2 to eliminate m to find p.
[tex](3m - 3m) + (2p - 3p) = 103.50 - 148.50 \\ - p = - 45 \\ p = 45[/tex]
Substitute p into equation 1.
[tex]3m + 2(45) = 103.50 \\ 3m + 90 = 103.50 \\ 3m = 103.50 - 90 \\ 3m = 13.50 \\ m = 13.50 \div 3 \\ = 4.50[/tex]
therefore 1 baby mice cost $4.50 and 1 baby python costs $45.
Answer:
Baby python: $45
Baby mouse: $4.5
Step-by-step explanation:
First of all, 3 baby mice and 2 baby pythons cost $103.50. When Mr. Reyes adds a baby python (He bought 3 baby mice and 3 baby pythons for a price of $148.50.) To find the price of a baby snake, you need to subtract both prices. 148.5-103.5=45, so a baby snake costs $45. Now we need to find the price of the baby mice, so we need to remove the snakes. 45*2=90. (2 snakes). 103.5-90=13.5, and 13.5/3=4.5, so a baby mouse costs $4.5.
Thanks
Please help I’m not too good with polynomials
Answer:
D
Step-by-step explanation:
A polynomial is an expression with variables, and this expression does not have a variable. So, answer D is not a polynomial.
Evaluate: (-2)5
10
32
-10
-32
Answer:
-32
Step-by-step explanation:
-2 x -2 x -2 x -2 x -2 = -32
Helppp!!!!
Look at this graph what is the equation if the line in slope intercept form
Answer:
y =(2/3)x + 80
Step-by-step explanation:
to get the slope.. change in y/change in x in two points.
so use the points (0,80) and (30,100) and you get 2/3
you know the intercept, where x=0 (0,80) therefore the equation is 2/3x + 80
I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer: They are related by the AAS postulate and they can be proven congruent.
Step-by-step explanation: You can see that one of the lines on each of the triangle has that little tick which means those lines are congruent. You can also see that for two of the angles one of them has one arc and the other has two arcs for BOTH triangles which makes those two angles congruent. Two angles and one side congruent makes the triangles congruent by the AAS postulate.
I hope I helped! :)
pls helpppppppppppppppppppppp
Answer:
∠A = 6x + 4
Step-by-step explanation:
Hello There!
We are given the exterior angle ∠ACD and an interior angle ∠B
If you didn't know this is the rule for exterior angles of a triangle:
An exterior angle is equal to the sum of its opposite interior angles
so ∠ACD = ∠A + ∠B ( ∠A and ∠B being the opposite interior angles)
So with the information that we are given we plug them into their corresponding angle
then we would have
8x+5 = ∠A + 2x + 1
now we solve for A
Well how do we solve for A?
Well we have to isolate the variable
To do so we want to get rid of 2x + 1
We do that by subtract each side by 2x and 1
8x + 5 - (2x + 1 ) = 6x + 4
we're left with
∠A = 6x + 4
33/q = 8/12 q=?
What is q
Answer:
q= 49.5
Step-by-step explanation:
[tex] \frac{33}{q} = \frac{8}{12} [/tex]
Cross multiply:
8q= 33(12)
8q= 396
Divide by 8 on both sides:
q= 396 ÷8
q= 49.5
Someone plz help me!
Answer:
srry if you still need this asnwer but here you go my grades
Step-by-step explanation:
If a parabola opens downward, the highest point on the graph is called the ____ of the parabola.
Answer:
vertex
Step-by-step explanation:
Solve each equation. List any restrictions. Check your solutions.
12/x+11=17
Steve flipped a coin 10 times and recorded his results in this chart.
Part A: What is the THEORETICAL probability of the coin landing heads up?
Answer:
Step-by-step explanation:
actual over theoretical times 100 equals ur percentage
lcm of 4,3,6
Pls tell
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
PLZ HELP IT WILL HELP A LOT
Answer:5
Step-by-step explanation:
the answer is 5 because the mode is the one that has more of
HELP ME ASAP!!!!!!!!
SEE PIC ATTACHED
FRIEND REQUEST ME AND I'LL ACCEPT ALSO YOU WILL GET THANKS, BRAINLIEST AND A STAR RATING OF EXCELLENT! Good Luck!
Step-by-step explanation:
a. 6 £/hr
b. 6.8 £/hr.....is this right?
Answer:
B) 1 hour = £10
Step-by-step explanation:
the higher rate starts from 20 hours and the pay is £120 if you go to 30 hours, the pay rate is £220. A raise of £100. This means the new pay rate is for every 1 hour worked, you get £10
Find the length of a diagonal of a square with a perimeter of 16.
Answer:
4√2
Step-by-step explanation:
If a square has a perimeter of 16, then its side lengths are 4.
Use the pythagorean theorem to find the diagonal.
4^2+4^2=c^216+16=c^232=c^2c=√32√32 can be simplified to 4√2.
The length of the diagonal of the square whose perimeter is 16 is 4√2
What is diagonal of the square?
The length of a diagonal is equal to the length of a side multiplied by the square root of 2
Given data ,
Let d be the diagonal of a square
Perimeter of square = 16
Perimeter of square = 4 x A
16 = 4 x A
A = 4
Therefore , diagonal of square is = 4√2
Hence ,The length of the diagonal of the square whose perimeter is 16 is 4√2
To learn more about diagonal of square click :
https://brainly.com/question/9753627
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I need help I'm struggling :(
2. Find the Surface Area 13 cm 5 cm 8 cm 12 cm
Answer:
I got 270cm!
Hope this helped!
A circular plate has a diameter of 9 inches. What is the area of the plate? Explain the steps you follow to get to your answer
Answer:
The area of the circular plate is: " 63.59 in² " .
______________________________________________________
Note:
______________________________________________
diameter, "d" = 9 in. (given).
radius, "r" = "d/ 2 " = "(9 inches) / 2 " = 4.5 in.
______________________________________________
Area of a circle, "A" :
A = * r² ;
in which: "A = Area of circle ("plate"); in units of "square inches"; or "in² " ;
" = 3.14 " {approximation we shall use} ;
"r = radius = 4.5 in." ;
________________________________________________________
Plug in our known values to solve for the area, "A" :
A = (3.14) * (4.5 in)² ;
A = (3.14) * (4.5)² * (in²) ;
A = (3.14) * (4.5) * (4.5) * (in²) ;
A = 63.585 in² ; round to: " 63.59 in² " .
_____________________________________________
Step-by-step explanation:
How many solutions does the following equation have?
5x + 8 - 7x = -4x + 1
Please help me please
Answer:
1) g < -6
2) x < -5
3) f < 2
4) y ≤ -2
5) p ≥ 2
solving by elimination
2x+8y=6
5x+20y=15
Answer:
Solve for x in the first equation.
Subtract 8 y from both sides of the equation.
2 x = 6 − 8 y
5 x + 20 y = 15
Divide each term by 2 and simplify.
Divide each term in
2 x /2 = 6/2 − 8 y/2
5 x + 20 y = 15
Cancel the common factor of 2 .
Cancel the common factor.
2 x /2 = 6 /2 + (− 8 y)/ 2
Step-by-step explanation:
I don't have room to put the rest. So go to math-way
. Out of 40 pupils only 30 pupils submitted their project on time
What percent of the pupils submitted their project on time?
Asked:
Given:
Operation:
Number Sentence:
Solution:
Answer:
Answer:
75 %
Step-by-step explanation:
To solve for the above question,
The percentage of pupils that submitted their project on time
= Number of pupils that submitted their project on time/Number of pupils × 100
Number of pupils that submitted their project on time = 30 pupils
Number of pupils = 40 pupils
= 30/40 × 100
= 75 %
The percent of the pupils that submitted their project on time is 75%
All of these have to be estimated using the chart shown^
1- 11% of 507
2-26% of 91
3-34% of 91
4-48% of 124
5-20% of 66
6- 47% of 80
7-48% of 202
8-74% of 39
9-30% of 118
10-20% of 42
11-arnold ate breakfast at a restaurant. The total cost of his food, juice, and coffee was $6.45. If the sales tax rate is 8% and Arnold wants to leave a 20% tip. how much should he pay
12- rodneys weekly gross pay is $91. He must pay 32% of taxes and deductions. estimate rodneys weekly take home after deductions.
i need help what is n?
Answer:
x=-7
Step-by-step explanation:
-30=5(x+1)
6-1(x+1)
x=-1-6
=-7
The answer is [tex]x=-7[/tex]
Which shape below is the pre-image. How can you tell?
Answer:
the red one is the pre image because if there is two of the same letters then there is a dash behind the second letter.
Step-by-step explanation:
PLEASE GIVE BRAINLIEST!!!!
Find the value of x. If necessary, write your answer in simplest radical form.
12
Answer:
x = 13Step-by-step explanation:
According to Pythagoras Theorem,
[tex]{(height)}^{2} + {(base)}^{2} = {(hypotenuse)}^{2} [/tex]
[tex] = > {12}^{2} + {5}^{2} = {x}^{2} [/tex]
[tex] = > {x}^{2} = 144 + 25[/tex]
[tex] = > {x}^{2} = 169[/tex]
[tex] = > x = \sqrt{169} [/tex]
=> x = 13 (Ans)
Answer: 73 will be your answer hope this helped
Step-by-step explanation: