Anyone that can help me with this please? Will give brainliest

Answer:

The equation of the tangent is [tex]y=-\frac{8}{15}x+\frac{289}{15}[/tex].

Step-by-step explanation:

Center = (0, 0). Point on the circle = (8, 15).

OP is a radius. The slope of the radius = [tex]\frac{15-0}{8-0}=\frac{15}{8}[/tex].

The tangent is perpendicular to the radius.

So, its slope is = [tex]-\frac{8}{15}[/tex].

The tangent passes through (8, 15).

So, the equation is:

[tex]y-15=-\frac{8}{15}\left(x-8\right)\\y-15=-\frac{8}{15}x+\frac{64}{15}\\y=-\frac{8}{15}x+\frac{289}{15}[/tex]

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Answer:

(8a+b-16)/4

Step-by-step explanation:

1/4×3(8a-5b-4)-(4a+1)+4b

Simplify:

-4a-1+4b+1/4×3×8a-1/4×3×5b-1/4×3×4

=1/4xax24-4a-1/4bx15+4b-1/4×12-1

=1ax24/4 -4a - 1bx15/4 +4b -1×12/4 -1

=ax24/4 -4a -bx15/4 + 4b -12/4 -1

= -4a + 24a/4 + 4b - 15b/4 -1 -3

= -4a + 6a + 4b - 15b/4 - 4

= 2a + 4b - 15b/4 - 4

= 8a + 16b - 15b - 16 / 4

= (8a + b - 16) / 4

= 8a + b - 16 / 4

Answer: The missing length is 16/3

Step-by-step explanation:

First, you have to find the proportional value between the two lengths on the first figure and the two lengths on the second figure.

The first figure’s lengths are 8 and 9, so the shorter length is 8/9 of the longer length.

Now apply the same proportional value to the second figure.

6 * 8/9 = 48/9

48/9 = 16/3

Answer:

The 3rd one is correct.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The demand is 50 and the supply is 45. Since 50 > 45 the answer is that the demand is greater than the supply.

Answer:

b

Step-by-step explanation:

Answer:

there are now 3.5 kilograms of grapes in the basket (the mystery number is 1.5)

Let us suppose that the number of grapes in the box is x and the number of grapes in the basket is y.

It means that the weight of the grapes in the box is x kg and that of basket is y kg.

It has been given that the box had twice as many grapes as a basket. Therefore, we have

Now when we add 2 kg to the basket then the weight of the basket is y+2 and the weight of box will remain same.

Now, we have been given that after 2 kilograms were added to the basket it contained 0.5 kilograms more than the box. Hence, we have

Substituting the value x=2y in the equation, we get

Therefore, the basket contains 1.5 kilograms of grapes.

Answer:

1.5mg

Step-by-step explanation:

From the question, we are told that the HCP prescribed 7.5 mg of PO weekly

The therapeutic dosage is given in the question as 5 - 15 mg/m² weekly.

The child's body surface area is given = 0.6m²

The mg of PO that the nurse should administer in each of the three doses given weekly is calculated as

7.5mg/ 5mg/m²

= 1.5 mg of PO

Answer:

see below

Step-by-step explanation:

We know that the center is (0,0) and the radius is |3 - 0| = 3.

Standard form of a circle: (x - h)² + (y - k)² = r² where (h, k) is the center and r is the radius. Plugging in h = 0, k = 0 and r = 3 gives us x² + y² = 9.

Answer:

See below.

Step-by-step explanation:

The equation for a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h,k) is the center and r is the radius.

From the graph, we can see that (0,0) is the center.

Thus, h=0 and k=0:

[tex]x^2+y^2=r^2[/tex]

From the graph, we can also see that the radius is 3 as (-3,0) and (3,0) are points on the circle.

Thus, r=3, and r^2=9.

The equation is:

[tex]x^2+y^2=9[/tex]

Answer:

8

Step-by-step explanation:

10-8 x 2 = 4

2 x 2 = 4

4 = 4

The number is 8, which is when subtracted from 10 and the result is multiplied by 2, then the result is 4.

Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.

Let the required number is x.

According to given condition,

When x is subtracted from 10 and the result is multiplied by 2, final result comes as 4.

Implies that,

2 (10 - x) = 4

10 - x = 2

x = 10 - 2

x = 8

The required number is 8.

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Answer: The width is x-6

Step-by-step explanation:

To find the with factor out the area x^2 - 11x + 30

[tex]x^{2}[/tex] - 11x +30  to factor it find two numbers that multiply to get 30 and add up to get -11 . And that two numbers are -6 and -5 .

[tex]x^{2}[/tex] - 5x - 6x + 30   now group them

([tex]x^{2}[/tex] - 5x) (-6x+ 30)   factor them out.

x(x - 5) - 6(x -5)   Factor x-5 out  

(x-5)(x-6)  since the length is x-5 then the width is x-6.

Answer:

k = 50

Step-by-step explanation:

The scale 1 cm represents 50m

It means that 1 cm length of pictorial representation of any obejct  is equivalent to 50m in reality.

In scale terms it can be represented in ratio form of a:b

where

a is the length of picture and b is actual length

here length of pictorial representation is 1 cm

and 50m is actual length

thus scale will be  1:50

But is given that The scale 1 cm represents 50m can be written in the form 1:k.

1:50 is same as 1:k

thus

1:50 = 1:k

we know that in ratio

if a:b = c:d

then

a= c  and b = d

Thus,

k = 50 Answer

Answer:

17.5 units

Step-by-step explanation:

a² + b²= c²

9² + 15² = c²

81 + 225 = c²

c² = 306

c = √306

c = 17.5

Answer:

1/4 or 25% chance

Step-by-step explanation:

the probability of getting each question right is 1/2, so for getting 2 questions right its 1/2 × 1/2, which is 1/4

The probability that a student that guesses gets at least 2 questions correct is 1/4.

The probability of getting a question correct is the same as the probability of getting a question wrong.

The probability of getting the question is correct is;

[tex]= \dfrac{1}{2}[/tex]

The probability of getting the question is wrong is;

[tex]= \dfrac{1}{2}[/tex]

Therefore,

The probability that a student that guesses gets at least 2 questions correct is;

[tex]= \dfrac{1}{2} \times \dfrac{1}{2}\\\\= \dfrac{1}{4}[/tex]

Hence, the probability that a student that guesses gets at least 2 questions correct is 1/4.

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Answer:

When n is 1

3n+4

=3*1+4

=3+4

=7

When n is 2

3n+4

=3*2+4

=6+4

=10

When n is 3

3n+4

=3*3+4

=9+4

=13

When n is 4

3n +4

=3*4+4

=12+4

=16

When n is 10

3n+4

=3*10+4

=30+4

34

Answer:

The solution to the question is g = 52

Step-by-step explanation:

Here, we want to find the solution to the equation ;

98 + g = 150

Apparently, we want to find the value of g.

To get the value of g, what we simply need is to bring 98 over the equal sign and this gives

g = 150-98

g = 52

Answer: B or how some people say it the second question. EDGE-MATHMATICS 2022

THE ANSWER IS B

step-by-step explanation: it is the second option  because when you find out what number g is (52) you can take 98-98= 0 + g/52 and get 52.

and then the second part of it says 150-98 which is 52! so  your answer is B hope this helps! have a wonderful day!

Answer: 15 sides

Step-by-step explanation: Because the sum of the outer angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equivalent outer angles and therefore 15 vertices and sides to the polygon

Answer: angle is 24 degrees meaning that a regular polygon has more than 6 sides hope this is helpful

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello,

Is this equality true ?

sec x csc x(tan x + cot x) = 2+tan^2 x + cot^2 x

1. let 's estimate the left part of the equation

[tex]sec(x)csc(x)(tan(x) + cot(x)) =\dfrac{1}{cos(x)sin(x)}*(\dfrac{sin(x)}{cos(x)}+\dfrac{cos(x)}{sin(x)})\\\\=\dfrac{1}{cos(x)sin(x)}*(\dfrac{sin^2(x)+cos^2(x)}{sin(x)cos(x)})\\\\=\dfrac{1}{cos(x)sin(x)}*(\dfrac{1}{sin(x)cos(x)})\\\\\\=\dfrac{1}{cos^2(x)sin^2(x)}[/tex]

1. let 's estimate the right part of the equation

[tex]2+tan^2(x) + cot^2(x)=2+\dfrac{sin^2(x)}{cos^2(x)}+\dfrac{cos^2(x)}{sin^2(x)}\\\\=\dfrac{2cos^2(x)sin^2(x)+cos^4(x)+sin^4(x)}{cos^2(x)sin^2(x)}\\\\=\dfrac{(cos^2(x)+sin^2(x))^2}{cos^2(x)sin^2(x)}\\\\=\dfrac{1^2}{cos^2(x)sin^2(x)}\\\\=\dfrac{1}{cos^2(x)sin^2(x)}[/tex]

This is the same expression

So

sec x csc x(tan x + cot x) = 2+tan^2 x + cot^2 x

hope this helps

Answer:

First Option

Step-by-step explanation:

When we graph the expression, we should see that an infinite amount of y-values work. Since the domain comprises of all working x-values, we have (negative infinity, positive infinity) or all real numbers as our range, since we have an infinite amount of y-value outputs.

Answer:

95 degrees

Step-by-step explanation:

All triangles have an interior measure of 180 degrees

180-41-44=95

Answer:

95 degrees

Step-by-step explanation:

Answer:

1/2 or 0.5

Step-by-step explanation:

1/3 divided by 2/3

1/3 times 3/2

3/6

1/2, or 0.5

Answer:

1/2

Step-by-step explanation:

1/3 ÷2/3= 1/3×3/2( this is because fractions cannot be divided and the reciprocal of the fraction by which 1/3 had to be divided has to be taken which makes 2/3 as 3/2 and division as multiplication)

so, 1/3×3/2 gives 3/6, when simplified, gives 1/2.

Answer:

x=2 f(x)=5-x

o≤x≤3  f(x)=x

2＜x＜3 f(x)=1

3＜x≤5  f(x)=5-x

Step-by-step explanation:

Answer:

Step-by-step explanation:

= x^2+6x+9-8=0

=x^2+6x+1=0

D=b^2-4ac

D= 36-4

D=32

x=-b±root D/2a

x=-6+4root2/2     ,    x = -6-4root2/2

simplify you get the least form...

hope it helps

Answer:

The correct option is (B).

Step-by-step explanation:

The conditional probability of an event, say A is the probability of that events (A) when it is known that another event, say X has already occurred.

For example, consider the experiment of drawing two marbles from jar consisting of 8 white and 2 red, without replacement. The probability of selecting a red marble after a white marble is known as conditional probability.

In this case it is provided that:

The statement:

"the probability that a student who is a licensed driver is a male"

Is a statement of conditional probability.

This is because it is known from previous information that the student is a licensed driver and we need to determine the probability of this student being a male.

Thus, the correct option is (B).

Answer:

It was a gain, specifically 16

Step-by-step explanation:

14 + (-7) = 7

7 + 9 = 16

Please tell me if I'm wrong.

Answer:

Step-by-step explanation:

The attachment will help you with your question:

Answer:

[tex]a^3+3a^2b+3ab^2+b^3[/tex]

Step-by-step explanation:

If have [tex](a+b)^3[/tex], we can solve this as:

[tex](a+b)(a+b)(a+b)[/tex]

So, applying distribution with the first two factors and simplifying, we get:

[tex](a^2+ba+ab+b^2)(a+b)\\(a^2+2ab+b^2)(a+b)[/tex]

Then, multiplying both expressions and simplifying again, we get:

[tex]a^3+a^2b+2a^2b+2ab^2+b^2a+b^3\\a^3+3a^2b+3ab^2+b^3[/tex]

Answer:

5.83units

Step-by-step explanation:

from Pythagoras theorem;

a^2=b^2+c^2

where a is the hypotenuse,b is the opposite and c is the adjacent

b=3 and c=5

a^2=3^2+5^2

a^2=9+25

a^2=34

find the square root of both sides,

√a^2=√34

a=5.83units

Answer:5.83

Step-by-step explanation:

Answer:

42=7(x+5)

42=7x+35

42-35=7x

7=7x

X=7/7=1

Answer:

Step-by-step explanation:

To find x we use cosine

cos∅ = adjacent / hypotenuse

x is the adjacent

8√3 is the hypotenuse

cos 30 = x / 8√3

x = 8√3 cos 30

To find y we use sine

sin∅ = opposite / hypotenuse

y is the opposite

8√3 is the hypotenuse

sin 30 = y / 8√3

y = 8√3 sin 30

Hope this helps you

Answer:

1) Qs= 24.4 cm

2) Perimeter= 72.8 m

Step-by-step explanation:

1).let qs= qos

Op is the height of the the triangle

Op= ,6.8cm

Angle ops = 180-(90+50)

Angle ops = 180-140

Angle ops = 40

Os/sin ops= op/sin pso

Os/sin 40= 6.8/sin 50

Os = sin 40(6.8)/sin50

Os= 0.6428(6.8)/0.7660

Os= 5.71

Angle oqp = 180-(90+70)

Angle oqp = 180-160.

Angle oqp = 20

Oq/sin qpo = op/sin oqp

Oq/sin 70=6.8/sin 20

Oq= sin70(6.8)/sin20

Oq= 0.9397(6.8)/0.3420

Oq= 18.68

Qs= os +oq

Qs= 5.71+18.68

Qs= 24.39

Qs= 24.4 cm

2). The other angle of the triangle

=180-90-53

= 37

Sin90 = 1

Let the length and breadth be x and y

X /sin 53 = 26

X= 26(sin53)

X= 26(0.7986)

X= 20.7636

Y/sin 37 = 26

Y= 26(0.6018)

Y= 15.6468

Perimeter= 2(x+y).

Perimeter= 2( 20.7636+15.6468)

Perimeter= 2(36.4104)

Perimeter= 72.8208 m

Perimeter= 72.8 m