Answer:
a)24
Step-by-step explanation:
since NM is a radius it comes in contact with the tangent at an angle 90
MLN is a triangle meaning sum of angles =180°
90+24+x=180
156+x=180
x=24°
Please help me! This is Algerbra 1
Answer:
A. x > -1 or x < -1
Step-by-step explanation:
5x - 29 > -34 or 2x + 31 < 29
Add 29 to both sides. Subtract 31 from both sides.
5x > -5 or 2x < -2
Divide both sides by 5. Divide both sides by 2.
x > -1 or x < -1
Answer: x > -1 or x < -1
6
1 point
Label the steps in order to solve the following equation:
-11 - 5z = 6 (5z + 4)
&
1
-11 - 5z = 30z + 24
2
-35 = 352
3
-11 = 352 + 24
4
-1=2
Answer:
swap the middle two steps to put them in order
Step-by-step explanation:
The steps in order would be ...
-11 -5z = 30z +24 . . . . . eliminate parentheses-11 = 35z +24 . . . . . . . . add 5z-35 = 35z . . . . . . . . . . . . subtract 24-1 = z . . . . . . . . . . . . . . . . divide by 2I NEED THE ANSWER FOR JUST NUMBER 5 PLEASE
Answer:
126
Step-by-step explanation:
∠S : ∠T = 7:3
∠S = 7x
∠T = 3x
∠S + ∠T = 180 {Supplementary angles}
7x + 3x = 180
10x = 180
Divide both sides by 10
x = 180/10
x = 18
∠S = 7x = 7*18 = 126°
Dubai Mall and Deira City Centre are equidistant from Wafi Mall. Considering Wafi Mall as origin, the position of Deira City Centre is ( 0,7). If the ordinate of the position of Dubai Mall is zero, then write the coordinates of the position of Dubai Mall.
they're equidistant, so distance should be equal.
distance of City centre is [tex]\sqrt{0^2+7^2}=7[/tex]
distance of mall is simply $x$. (ordinate is 0, means the point is on x axis , and that's the distance from origin)
thus, $$x=7$$
A box contain 12 balls in which 4 are white 3blue and 5 are red.3 balls are drawn at random from the box. Find the chance that all three balls are of different colour
Answer:
white: 1/3, blue: 1/4, red: 5/12
Step-by-step explanation:
Take the amount of balls each color has and divide by 12.
White:
4/12 = 1/3
Blue:
3/12 = 1/4
Red:
5/12 (can't simplify)
Answer:
3/44 or 0.068
Step-by-step explanation:
(3/12 × 2/11 × 1/10)+(5/12 × 4/11 × 3/10)+(4/12 × 3/11 × 2/10)
=3/44
A stone is thrown downward straightly its speed at speed of 20 second what and it reaches the ground at 40 metre second what will be the height of building
Answer:
[tex]\Huge \boxed{\mathrm{61.22 \ m}}[/tex]
Step-by-step explanation:
A stone is thrown downward straightly with the velocity of 20 m/s and it reaches the ground at the velocity of 40 m/s. What will be the height of building? (Question)
The initial velocity ⇒ 20 m/s
The final velocity ⇒ 40 m/s
We can apply a formula to solve for the height of the building.
[tex](V_f)2 - (V_i)^2 =2gh[/tex]
[tex]V_f = \sf final \ velocity \ (m/s)[/tex]
[tex]V_i = \sf initial \ velocity \ (m /s)[/tex]
[tex]g = \sf acceleration \ due \ to \ gravity \ (m/s^2 )[/tex]
[tex]h = \sf height \ (m)[/tex]
Plugging in the values.
Acceleration due to gravity is 9.8 m/s².
[tex](40)^2 - (20)^2 =2(9.8)h[/tex]
Solve for [tex]h[/tex].
[tex]1600 - 400 =19.6h[/tex]
[tex]1200 =19.6h[/tex]
[tex]\displaystyle h=\frac{1200}{19.6}[/tex]
[tex]h= 61.22449[/tex]
The height of the building is 61.22 meters.
What is the the product of (-1 - 3i) and it’s conjugate?
Answer:
10
Step-by-step explanation:
(-1 - 3i)(-1 + 3i) = 1 - 3i + 3i -9i²
1 - 9i²; i² = -1, therefore 1 - 9(-1) = 1 + 9 = 10
A group of people buys 5 pounds of corn meal to divide equally among 6 families write a fraction or mixed number that shows how many pounds of corn meal each family gets'.
Answer:
5/6 pounds
Step-by-step explanation:
A group of people buys 5 pounds of corn meal to divide equally among 6 families write a fraction or mixed number that shows how many pounds of corn meal each family gets'.
Given the following :
Amount of corn meal purchased = 5 pounds
Number of people to share = 6 families
Assume, it is divided equally among them;
Then; each family gets ;
(Pounds of corn meal purchased/number of families) ;
5 / 6 pounds of corn meal will be distributed to each family.
Please need help ASAP please need help 100 points please
Answer:
1/32 and 1/64
p and v
Step-by-step explanation:
Answer:
a. 1/32 then 1/64
b. P then V
Step-by-step explanation:
A is multiplied by 2 every time.
While b is doubled every time as well.
PLEASE HELP ASAP! NO SCAMS!
Answer:
Step-by-step explanation:
Perpendicular means that the slopes of the "old" line and the "new" line are opposite reciprocals; bisector means that the "new" line goes directly through the center of the "old" line. This perpendicular bisector, then, will go directly through the center of the "old" line, cutting it directly in half and leaving in its wake a 90 degree angle. To write this equation, then, of the perpendicular bisector, we need the slope of the old line and the midpoint of the old line. Let's work on the midpoint first:
[tex]M=(\frac{3+6}{2},\frac{5-7}{2})\\M=(\frac{9}{2},\frac{-2}{2})\\M=(\frac{9}{2},-1)[/tex] So the "new" line will go through this point.
Onto the slope:
[tex]m=\frac{-7-5}{6-3}\\m=\frac{-12}{3}[/tex]so the slope is
m = -4. That means that the perpendicular slope is
[tex]m=\frac{1}{4}[/tex] Now we're ready to write the equation:
[tex]y-5=\frac{1}{4}(x-3)[/tex] and
[tex]y-5=\frac{1}{4}x-\frac{3}{4}\\y=\frac{1}{4}x-\frac{3}{4}+\frac{20}{4}[/tex] and finally,
[tex]y=\frac{1}{4}x+\frac{17}{4}[/tex]
Answer:
Step-by-step explanation:
A(3, 5) ; B(6,-7)
Let's find the slope of AB = [tex]\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]=\dfrac{-7-5}{6-3}\\\\=\dfrac{-12}{3}\\\\= - 4[/tex]
m = -4
Slope of the perpendicular line to AB = -1/m = [tex]\dfrac{-1}{-4}=\dfrac{1}{4}[/tex]
The perpendicular line of AB is bisector also. So, it goes through the midpoint of AB
Midpoint of AB = [tex](\dfrac{x_{1}+x_{2}}{2}, \dfrac{y_{2}-y_{1}}{2})[/tex]
[tex]=(\dfrac{3+6}{2},\dfrac{5+(-7)}{2})\\\\=(\dfrac{9}{2},\dfrac{-2}{2})\\\\=(\dfrac{9}{2},-1)[/tex]
Equation of require perpendicular line: y - y1 = m (x -x1)
[tex](x_{1},y_{1})= (\dfrac{9}{2},-1)\\ \\m =\dfrac{1}{4}\\\\y-[-1]=\dfrac{1}{4}(x-\dfrac{9}{2})\\\\y+1=\dfrac{1}{4}x-\dfrac{1}{4}*\dfrac{9}{2}\\\\y=\dfrac{1}{4}x-\dfrac{9}{8}-1\\\\y=\dfrac{1}{4}x-\dfrac{9}{8}-\dfrac{8}{8}\\\\y=\dfrac{1}{4}x-\dfrac{17}{8}[/tex]
Can someone please check my answer? I really need help with this
Answer:
a = – 8
Step-by-step explanation:
From the question:
When P(x) = 2x³ – ax² + 4x – 4 is divided by x – 1, it gives a reminder of 10.
To obtain the value of a, we shall equate x – 1 to 0 as illustrated below:
x – 1 = 0
x = 0 + 1
x = 1
Next, we shall substitute the value of x into 2x³ – ax² + 4x – 4 and equating it to 10 as illustrated below:
2x³ – ax² + 4x – 4 = 10
x = 1
2(1)³ – a(1)² + 4(1) – 4 = 10
2 – a + 4 – 4 = 10
2 – a = 10
Collect like terms
– a = 10 – 2
– a = 8
Divide through by –1
a = – 8
Therefore, the value of a is –8.
Factor completely 3x^2 - x - 4
A.(3x - 4)(x + 1)
B.(3x + 4)(x - 1)
C.(3x - 2)(x + 2)
D.(3x - 1)(x + 4)
Answer:
B. [tex](3x-4)(x+1)[/tex]
Step-by-step explanation:
Find the missing probability. P(A)=1120,P(B|A)=1320,P(A∩B)=?
Explanation:
Assuming you meant to say
P(A) = 11/20
P(B|A) = 13/20
then,
P(A∩B) = P(A)*P(B|A)
P(A∩B) = (11/20)*(13/20)
P(A∩B) = (11*13)/(20*20)
P(A∩B) = 143/400
Mr. Ruiz has $438.60 taken from
his account each month to pay for
the loan on his car. What is the
change in the account caused by
4 months of payments?
When the factors of a trinomial are (x-p) and (x+q) then the constant teen of the trinomial is
(x-p)(x-q)
y(x-q) .... let y = x-p
yx - yq ... distribute
x(y) - q(y)
x(x-p) - q(x-p) ... replace y with x-p
x^2 - px - qx + pq .... distribute
x^2 + (-p-q)x + pq
The last expression is in the form ax^2+bx+c with a = 1, b = -p-q and c = pq
The constant term is the term without any variable x attached to it (either x or x^2), so the constant term is pq
Rami goes running in Central Park every Sunday. He runs at a constant speed. He can run 6 3/5 miles in 1 2/3 hours.what is his speed In miles?
Answer:
3 24/25 MPH
Step-by-step explanation:
We know Rami runs 6 3/5 miles in 1 2/3 hrs --> Convert into an improper fraction
--> 6 3/5 = 33/5
--> 1 2/3 = 5/3
Speed = Distance divided by Time
Distance = 33/5
Time = 5/3
33/5 / 5/3 = 33/5 x 3/5
33/5 x 3/5 = 99/25
1/25 less than 4 = 3 24/25
Thus, our answer is 3 24/25 MPH
Hope this helps!
How many natural numbers are between 97 through 256?
Answer: go to this website https://en.wikipedia.org/wiki/256_(number) it may help you
Step-by-step explanation:
There are 156 natural numbers between 97 and 256.
What are the Natural Numbers?Natural numbers are defined as refer to a set of all the whole numbers excluding 0. We generally utilize these numbers in our speech and daily activities. Everywhere we look, numbers are used to count things, represent or exchange money, measure temperature, tell the time, etc. These numbers that are used for counting objects are called 'natural numbers'. For example, while counting objects 5 pencils.
Given data as :
The natural numbers are 97 and 256
To determine the numbers between the following, firstly subtract them and then subtract 2 to it.
97 and 256
⇒ 256 - 97
⇒ 158
Substract 2 from it.
= 158 -2
= 156
Thus, there are 156 natural numbers between 97 and 256.
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Which expression represents the prime factorization of 243?
Answer:
[tex]\boxed{3^5}[/tex]
Step-by-step explanation:
Hey there!
Look at the image below↓
By looking at the image we can tell the PR expression is [tex]3^5[/tex].
Hope this helps :)
Answer:
Below in bold.
Step-by-step explanation:
Dividing by primes:
3 ) 243
3 ) 81
3 ) 27
3) 9
3.
So the prime factors of 243 are 3 * 3 * 3 * 3 * 3 or 3^5.
Paul found a job listed in the classified ads that pays a yearly salary of $76K. What is the
weekly salary based on this annual salary? Round to the penny.
*
Will Mark Brainnlest Please help me
Answer:
l = 2, m = - 1, n = - 6
Step-by-step explanation:
A scalar matrix has its diagonal elements equal and all other elements zero, so
2l - 4 = 0 ( add 4 to both sides )
2l = 4 ( divide both sides by 2 )
l = 2
---------------------------------------
3l + n = 0
3(2) + n = 0
6 + n = 0 ( subtract 6 from both sides )
n = - 6
--------------------------------------
3m - n = 3
3m - (- 6) = 3
3m + 6 = 3 ( subtract 6 from both sides )
3m = - 3 ( divide both sides by m )
m = - 1
Divide: −5/8÷12 Enter your answer as a fraction in simplest form, like this: 42/53
Step-by-step explanation:
If you like my answer than please mark me brainliest
choose the true statement.
-2 < -3
-2 > -3
-2 = -3
Answer:
-2> -3
Step-by-step explanation:
when in the minuses, the lower the number, the bigger it really is!
Answer:
-2> -3
Step-by-step explanation:
HOPE THIS HELPS HAVE A GREAT DAY :) :} :) :}Pls Help, Thanks
According to the partial construction shown, what is the next step in constructing a line perpendicular to a point on the line?
Place compass at point D, and draw an arc that intersects the arc above line DF.
Place compass at point F, and draw an arc that intersects the arc above line DF.
Place compass at point P, and draw an arc above line DF
Place compass at point P, and draw an arc below line DF
Step-by-step explanation:
First draw a lign segment like DF
Next keep the point on D make an arc by increasing the length of compass
As same keep the point on F make an arc lile same as before
Next there is apoint name it as any meeting on drew arc
connect it to the point with P
a coin is tossed and a number cube is rolled. What is the probability of tossing heads and rolling a 3 or a 5
Answer: 1/6
Step-by-step explanation:
Probability of getting heads = 50/100
= 1/2
Probability of tossing a 3 or 5 = 2/6
= 1/3
Now probability of getting both = 1/2×1/3
= 1/6
Please click thanks and mark brainliest if you like
Answer:
1/6
Step-by-step explanation:
There are two possible outcomes for tossing a coin
heads and tails
P(heads)= heads/ total = 1/2
Rolling a die has 6 possible outcomes 1,2,3,4,5,6
P*3 or 5) = 3 or 5 /total = 2/6 = 1/3
Multiply the probability of independent events together
1/2 * 1/3 = 1/6
Help the question is there
Answer:
y = 7 when x = -5
Step-by-step explanation:
First go to x = -5
Then go up to where you meet the green line
The y value is 7
y = 7 when x = -5
Pleeeeease help
For each set of figures, show how the green colored tiles in the border can be grouped to allow for quick calculation. Each set of figures has two figures of different sizes for you to work with; use a different grouping method on each and provide a mathematical expression that connects with your grouping method.
The sequence or object patterns can be used to find exact values when the level of the pattern increases or decrease
The mathematical expression that connects the number of tiles and the grouping method is presented as follows;
tₙ = 9 + (n - 1)× 3
Reason:
Known parameter:
From the given diagram, we have that the number of green tiles = 18
Question: The missing parts of the question are;
Grouping method 1 having 15 green colored tiles with Figure size 3
We have;
Grouping method 1
The figure size number of the shape with 15 green colored tiles = 3
Grouping method 2, figure size 4
The figure size number of the shape with 18 green colored tiles = 4
By examination, we get;
The size number of the shape with 12 green colored tiles = 2
The size number of the shape with 9 green colored tiles = 1
Therefore the sequence is an arithmetic progression having the following characteristics;
nth term, tₙ = a + (n - 1)·d
The first term, a = 9
The common difference, d = 3
The mathematical expression that connects the grouping methods above, and gives the number of green tiles, tₙ, is tₙ = 9 + (n - 1)× 3
Where;
n = The grouping method number
For easy calculation;
The number of green tiles is given by the equation, tₙ = 9 + (n - 1)× 3
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each value to the correct expression.
The answer is shown below:
What is expression?An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression.
1+5.2 + (1+3)²
=1+10 + 16
=27
0.25*4³-1
=0.25*64-1
=16-1
=15
4+8(1/4+2)
=4+8(9/4)
=4+2*9
=4+18
=22
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24 is between what integers
Answer:
23 and 25
Step-by-step explanation:
Integers are whole numbers that are either positive, negative, or zero. Fractions and decimals are not integers. Therefore, 24 is between 23 and 25.
Answer:
Positive 23 and positive 25
Step-by-step explanation:
How to do this question plz answer me step by step plzz plz
Answer:
[tex] \boxed{\sf Perimeter \ of \ semicircle = 3 \pi \ cm} [/tex]
Given:
Radius of semicircle (r) = 3 cm
Step-by-step explanation:
[tex]\sf Perimeter \ of \ semicircle = \pi r [/tex]
[tex] \sf = 3 \pi \: cm[/tex]
Suppose that Frida selects a ball by first picking one of two boxes at random and then selecting a ball from this box at random. The first box contains three white balls and two blue balls, and the second box contains four white balls and one blue ball. What is the probability that Frida picked a ball from the first box if she has selected a blue ball
Answer:
3/4
Step-by-step explanation:
Given the following :
Number of boxes = 2
First box :
White balls = 3
Blue balls = 2
Second box:
White balls = 4
Blue balls = 1
What is the probability that Frida picked a ball from the first box if she has selected a blue ball?
Probability (P) = (required outcome / Total possible outcomes)
Probability of picking first box : P(F) = 1/2
Probability of not picking second box :P(S) 1/2
Probability of picking blue from first box : P(B | F) = 3/5
Probability of picking blue, but not from first box : P(Blue not from second box) P(B|S) = 1/5
probability that Frida picked a ball from the first box if she has selected a blue ball?
P(F) * P(B|F) ÷ (P(F) * P(B|F)) + (P(S) * P(B|S))
(1/2 * 3/5) ÷ ((1/2 *3/5) + (1/2 * 1/5)
3/10 ÷ (3/10 + 1/10)
3/10 ÷ 4/10
3/10 * 10/4
= 3/4