In the circle, O is the centre and AB is a diameter.
a) Work out the size of angle a.
b) Work out the size of angle b.
Answer:
Step-by-step explanation:
Answer:
a). m∠a = 62°
b). m∠b = 118°
Step-by-step explanation:
a). Since, an angle inscribed in a semicircle is a right angle,
m∠ACB = 90°
By triangle sum theorem in ΔABC,
m∠CAB + m∠ACB + m∠ABC = 180°
28° + 90° + m∠ABC = 180°
118° + m∠ABC = 180°
m∠ABC = 180°- 118°
a = 62°
b). Since, quadrilateral ABCD is a cyclic quadrilateral,
m∠ADC + m∠ABC = 180°
b + a = 180°
b + 62° = 180°
b = 180° - 62°
b = 118°
Can y’all Plz help me ??(Show ya work) It Says What Value of X makes this equation true
Answer:
[tex]0.6x - 0.1x = 7 + 5 \\ 0.5x = 12 \\ x = \frac{12}{0.5} = 24[/tex]
Solve the equation using subtraction,
3x-4y=-7
3x+y=13
Answer:
Step-by-step explanation:
first question is -1
and i think the sec option is 13/3+y/3 i think im wrong on the sec option
(05.05) Which of the following inequalities matches the graph? (1 point)
Answer: Choice C. [tex]y \ge -1[/tex]
==========================================================
Explanation:
The boundary line is a solid line and it's horizontal. Every point on the boundary line has y coordinate -1. So y = -1 is the equation of the boundary line. We can write it as y = 0x-1.
The shading is above the boundary line, so the inequality is [tex]y \ge -1[/tex]
Any point (x,y) in the shaded region has y coordinate that is y = -1 or greater.
For example, the point (0,2) in the shaded region has y coordinate y = 2, and it satisfies the inequality [tex]y \ge -1[/tex] because [tex]2 \ge -1[/tex] is a true statement.
Note: the boundary line is solid, so any point on the boundary line is part of the shaded solution set. This is due to the "or equal to" as part of the inequality sign.
Which shows the following expression after the negative exponents have been eliminated?
A^3 b^-2/ab^-4
A=/0, b=/0
Answer:
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{2}b^{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{a^3b^{-2}}{ab^{-4}}[/tex]
[tex]a\ne 0; b \ne 0[/tex]
Required
Evaluate
[tex]\frac{a^3b^{-2}}{ab^{-4}}[/tex]
Apply the following law of indices:
[tex]\frac{x^m}{x^n} = x^{m-n}[/tex]
So, the expression becomes:
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2-(-4)}[/tex]
Remove brackets
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{3-1}b^{-2+4}[/tex]
[tex]\frac{a^3b^{-2}}{ab^{-4}} = a^{2}b^{2}[/tex]
Answer:
D. a^3 b^4 / ab^2
Step-by-step explanation:
£3000 is invested at 4% compound interest per annum. What is the value of the investment after 3 years?
Wyatt has 32 marbles in his collection. Twenty of his marbles are red, four are blue, and the
rest are green. What part of Wyatt's marbles are red?
Answer:
6 and 2/5
Step-by-step explanation:
20% of 32 is 6.4
. What is the value of x in the equation .5(x-2) = 3(x-4) - 14?
Answer: -8
Step-by-step explanation:
Solve for x
5 (x − 2) = 3 (x − 4) − 14
5x − 10 = 3 (x − 4) − 14
5x − 10 = 3x − 12 − 14
5x − 10 − 3x = −26
2x = −26 + 10
2x = −16
x = −8
Answer:
answer of this equation is (-8)
:-))
8x-5y=-118x−5y=−118, x, minus, 5, y, equals, minus, 11 xxx-intercept: \Big((left parenthesis ,,comma \Big))right parenthesis yyy-intercept: \Big((left parenthesis ,,comma \Big))
PLS HELP MEEEEEEEEEE :(
Answer: c
Step-by-step explanation:
click to see the question
A and C is the answer
hope you'll learn from your teacher how?
solve for b? please help me ASAP!!
Answer:
b = [tex]\sqrt{45}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle on the left.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
b² + 6² = 9²
b² + 36 = 81 ( subtract 36 from both sides )
b² = 45 ( take the square root of both sides )
b = [tex]\sqrt{45}[/tex]
Emma made a scale model of the Sam Houston's monument. The monument's actual height is 67 ft tall. Emma is using a scale where 1 inch is 10 ft. What is the height of Emma's model?
Answer: 6.7inch
Step-by-step explanation:
From the question, we are informed that Emma made a scale model of the Sam Houston's monument and that the monument's actual height is 67 ft tall but Emma is using a scale where 1 inch is 10 ft.
The height of Emma's model will therefore be 67ft divided by 10 since he's using a scale of 1:10. This will be:
= 67/10
= 6.7inch
Simplify the expression to a polynomial in standard form:
(3x – 10)(x2+ 2x - 1 )
Answer:
[tex]3x ^{3} - {4}^{2} - 23x + 10[/tex]
A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 10% real fruit juice and Drink B contains 15% real fruit juice. How many liters of real fruit juice would be needed to produce 100 liters of Drink A and 250 liters of Drink B? How many liters of real fruit juice would be needed to produce a liters of Drink A and b liters of Drink B?
Antonio baked 150 muffins. Of all the muffins he baked, 46% of them were blueberry. How manyy blueberry muffins did antonio bake?
Answer: he baked 69 muffins
Step-by-step explanation:
Sal earns $12 per hour. His job offers him a raise, a 5% increase per hour.
After the raise, how much will Sal earn per hour?
Answer:
12.60.
Step-by-step explanation:
12.00 × 5%=.6
,6 + 12.00= 12.60
someone please help
f(x) = 2x2 - 5
and
g(x) = 5x + 7
Find
f(g(x)) = [ ? ]x2 +[ ]x + [ ]
9514 1404 393
Answer:
f(g(x)) = 50x² +140x +93
Step-by-step explanation:
Put the function argument in place of x and simplify.
f(g(x)) = f(5x+7) = 2(5x+7)² -5
= 2(25x² +70x +49) -5
f(g(x)) = 50x² +140x +93
_____
We took advantage of the knowledge that ...
(a + b)² = a² +2ab +b² . . . . . where a=5x and b=7
Urgent please help..
Find the holes
[tex]f(x)=\frac{x}{x+2}[/tex]
Answer:
x = - 2Step-by-step explanation:
The "holes" are the x-es where function doesn't exist.
One must not divide by 0, so given function doesn't exis if the denominator is equal 0
x + 2 = 0
x = - 2
what is it plz ????????????
are 9x+15 and -9x-15 equivalent expressions
Answer:
Step-by-step explanation:
Yes!
I HAVE 15 MINUTES OFFERING ALL MY POINTS
Find the value of x and y
Answer:
y = 23
x = 28
Step-by-step explanation:
Find y first.
3y + 5y - 4 = 180 The two angles are supplementary if the all the lines are parallel. Combine the left side.
8y - 4 = 180 Add 4 to both sides
8y - 4 + 4 = 180 + 4
8y = 184 Divide both sides by 8
y = 23
====================================
Now if the lines are parallel, then 3y = 2x + 13
But we already know y
3*23 = 2x + 13 Do the multiplication
69 = 2x + 13 Subtract 13
56 = 2x Divide by 2
x = 56/2
x = 28
Answer:
y = 23
x = 28
Step-by-step explanation:
Shoooooot i am so late with this answer, so so sorry haha-
and i'm no gonna do the explanation because the guy above me did a fairly well explanation of how i solve them too.
uhm, have a good day!
An initial population of 30 rabbits doubles each year for 6 years what is the rabbit population after 6 years?
Answer:
1920
Step-by-step explanation:
Each time you multiply by to 6 times. 30 does not count as a year.
Find the measure of the numbered angle
Answer:
1 = 50°, 2 = 130°, 3 = 50°, 4 = 130°, 5 = 40°, 6 = 140°, 7 = 90°, 8 = 140°
Step-by-step explanation:
The sum of the angles of a triangle is 180°. A flat angle measures 180° as well.
Angle 1: 180 - 90 - 40 = 50°
Angle 2: 180 - 50 = 130°
Angle 3: 180 - 130 = 50°
Angle 4: 180 - 50 = 130°
Angle 5: 180 - 90 - 50 = 40°
Angle 6: 180 - 40 = 140°
Angle 7: 180 - 90 = 90°
Angle 8: 180 - 40 = 140°
It's a little complicated, but I hope this helps!
What would the exponential growth model be for the given situation?
help please help. help help
Answer:
Step-by-step explanation:
10 students participated in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz
Solution: Number of girls = x
Number of boys = y
x + y = 10 -------------------(I)
Number of girls is 4 more than the number of boys
x - y = 4 ----------------------(I)
x = 4 + y
Substitute x = 4 +y in equation (I)
4+ y + y = 10
4 + 2y = 10
2y = 10-4
2y= 6
y = 6/2
y = 3
Plug in y = 3 in eqution (I)
x + 3 = 10
x = 10 - 3
x = 7
Number of girls = 7
Number of boys = 3
Cool-Down
A meal costs $20 before tax and tip.
There is a 8% sales tax. After the tax, a 15% tip is
added.
What is the total after tax and tip?
Answer:
24.84$
Step-by-step explanation:
You multiply 20 by 0.08 which equals 1.6
then you add 20 + 1.6 which equals 21.6
then you multiply 21.6 by 0.15 which equals 3.24
24.84
This question hard solve fast lots of points
Answer:
2<a<5
Step-by-step explanation:
the lcm of 22 132 and 253 using prime factorization?
Answer:
3036
multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144 and so on,
multiples of 32 are 264, 396, 528, 660, 792, 924, 1056 and so on,
multiples of 253 are 253, 506, 759, 1012, and so on,
Its quite a time consuming process.
when all the numbers eventually meet together that is the answer.