What are the roots of 5x^2=60

Answer:

x ≈ 2.8

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan26° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{CD}{DE}[/tex] = [tex]\frac{x}{5.7}[/tex] ( multiply both sides by 5.7 )

5.7 × tan26° = x , then

x ≈ 2.8 ( to the nearest tenth )

Answer:

2.8

Step-by-step explanation:

1. c = a · sin(C) / sin(A)  

This is the equation to find x. Let's see what we have.

c = x

a = 5.7

C = 26

A = ?

Let's find A. We know B is 90 and C is 26.  Triangle Sum Theorem time!

2. 180 = 90 + 26 + A

180 = 116 + A

64 = A

A = 64

We found A. Let's see what we have now!

c = x

a = 5.7

C = 26

A = 64

Let's solve the equation now.

3. x = 5.7 · sin26 / sin64

Let's use a calcalator to find the answer.

4. 2.78008 =  5.7 · sin26 / sin64

5.7 · sin26 / sin64 =  2.78008

We should round this to the nearest tenth. 7 is in the tenth place. Though 8 is behind 7. 8 is greater than 4 which means 7 must be rounded up.

5. 2.8 is the answer.

Answer:

12.4 feet

Step-by-step explanation:

A ladder placed against the wall forms a right angle triangle

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse = 13 feet

Opposite = 4 feet

Adjacent = x

Hypotenuse ² = opposite ² + adjacent ²

13² = 4² + x²

169 = 16 + x²

169 - 16 = x²

153 = x²

Find the square root of both sides

√153 = √x²

12.369316876852 = x

x = 12.4 feet

Adjacent = x = 12.4 feet

Answer:

false negatives - 2%

false positives - 3%

Step-by-step explanation:

Here is the complete question :

A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.

% of results will be false negatives, and % of results will be false positives.

False negative means a negative result which in actuality it is positive

False negative = 100% - percent of positive result

100% - 98% = 2%

False positive result means a positive result which in actuality is negative

False positive = 100% - percent of false positive

100 - 97 = 3%

Answer:

The image you provided doesnt work

Step-by-step explanation:

Answer:

The answer is 8, take away 8.25 from 210 and then divide it by 23

Answer:

6x-3

Step-by-step explanation:

that is the procedure above

Step-by-step explanation:

5+4X+2x-8

=6x-3

answer is third option

Answer:

[tex]Area~of~quarter:-[/tex]

[tex]=\frac{\pi *8*8}{4}[/tex]

[tex]=16\pi[/tex]

Answer:

Sr i dont know

Step-by-step explanation:

Answer:

10 quarts

thank you

i think

Answer:

263

Step-by-step explanation:

424+339=764

1000-764=236

Answer:

41 square units

Step-by-step explanation:

this polygon can be split into several sub-shapes, for which we can calculate their areas much easier. and then we simply add all the sub-results for the total result.

for me this split would be

1. square CDEF, with F being an additional point at (6,5) : 4 units to the right of C.

2. a right-angled triangle ABF (the same F as for 1.).

the area of a square is the square of a side length.

the side length in 1. is 4.

so, its area is 4×4 = 16 square units.

the area of a right-angled triangle is

a×b/2

with a and b being the sides enclosing the 90 degree angle.

in our case here a = BF = 10, b = FA = 5

so the area of the triangle is 10×5/2 = 25 square units.

so, the total area is 16 + 25 = 41 square units.

Answer:

D. 5 /12 + 1 /12 + 4/ 12 + 2 /12 + 5 /12

Step-by-step explanation:

Ive friends each knit one part of a scarf that is 1 5/ 12 yards long.

Hencfy, the fractions of the scarf each friend could have knit is calculated by comparing the options

A. 1 /12 + 2 /12 + 3 /12 + 8 /12 + 4 /12

Lowest Common Denominator = 12

Hence = 18/12 = 1 6/12 = 1 1/2

Option A is wrong

B. 1 /12 + 6/ 12 + 3 /12 + 2 /12 + 4 /12

Lowest Common Denominator = 12

Hence = 16/12 = 1 4/12 = 1 1/3

Option B is wrong

C. 2/12 + 3/ 12 + 3/ 12 + 2/ 12 + 5/ 12

Lowest Common Denominator = 12

Hence = 15/12 = 1 3/12 = 1 1/4

Option C is wrong

D. 5 /12 + 1 /12 + 4/ 12 + 2 /12 + 5 /12

Lowest Common Denominator = 12

Hence = 17/12 = 1 5/12

Option D is correct

Therefore, the fractions of the scarf each friend could have knit is Option D

Hope this help!!!

Have a nice day!!!

Answer:

that gy is rong dount do it

Step-by-step explanation:

Answer:

First you convert the mixed numbers into improper fraction

[tex]8\frac{3}{8} = \frac{67}{8} \\\\6 \frac{3}{4} = \frac{27}{4}[/tex]

Solution

[tex]A=\frac{\frac{27}{4} + \frac{67}{8} }{2}[/tex]

[tex]A=\frac{\frac{54 + 67}{8} }{2}[/tex]

[tex]A\frac{\frac{121}{8} }{2}[/tex]

[tex]A=\frac{121}{8}[/tex] * [tex]\frac{1}{2}[/tex]

[tex]A= \frac{121}{16}[/tex]

[tex]A= 7 \frac{9}{16}[/tex]

Step-by-step explanation:

Answer:

-2/7

Step-by-step explanation:

We have two points so we can use the slope formula

m = (y2-y1)/(x2-x1)

m = (8-0)/(-14-14)

   = 8/-28

   = -2/7

Answer:

The duration of the flight is 1 hour

Step-by-step explanation:

Since average speed = distance traveled / time

Let the duration of the flight be in z hours

So, (600km/z hours) - (600km/ z hours + (1/2)) = 200km/hr

Note: 1/2 is used as a result of 30 minutes increased in time which is half an hour.

200 = (600/z ) - (600/z + (1/2))

Multiply 2 through on (600/z + (1/2))

200 = (600/z ) - (1200 / (2z + 1))

Divide through by 200

= z(2z + 1) = 3

convert to quadratic equation

2z² + z = 3

2z² + z - 3 = 0

(2z + 3) ( z-1) = 0

z-1 = 0

z = 1 hour

Answer:

[tex]\text{C. }g(x)=(x-5)^2[/tex]

Step-by-step explanation:

The function [tex]y=(x-c)^2[/tex] has a phase shift of [tex]c[/tex] to the parent function [tex]y=x^2[/tex]. Since [tex]g(x)[/tex] has moved to the right 5 units from the parent function [tex]f(x)=x^2[/tex], we're looking for a value of [tex]c=5[/tex].

Therefore, we have:

[tex]g(x)=\boxed{(x-5)^2}[/tex]

Answer:

It is -4 :)

Step-by-step explanation:

I just did this lol

Answer:

∅=6

Step-by-step explanation:

let ∅=x

[tex]\csc(3x+15)=\frac{1}{\sin(3x+15)}\\\sin(5x+3)*(\frac{1}{\sin(3x+15)})\\\frac{\sin(5x+3)}{\sin(3x+15)}=1\\\sin(5x+3)=\sin(3x+15)\\5x+3=3x+15\\2x=12\\x=6[/tex]

Answer:

The slope of the line is [tex]m = \frac{3}{5}[/tex] and the equation of the line is [tex]y = \frac{3}{5}\cdot x[/tex].

Step-by-step explanation:

From table we understand that slope of the line is constant, that is, for each change of [tex]x[/tex] there is one and only change in [tex]y[/tex], fulfilling the main characteristic of a line and we can determine the slope for every point of the line by means of the following expression:

[tex]m = \frac{y_{f}-y_{o}}{x_{f}-x_{o}}[/tex] (1)

Where:

[tex]x_{o}, x_{f}[/tex] - Initial and final x-coordinates of the line.

[tex]y_{o}, y_{f}[/tex] - Initial and final y-coordinates of the line.

If we know that [tex](x_{o}, y_{o}) = (0,0)[/tex] and [tex](x_{f},y_{f}) = (8,4.8)[/tex], then the slope of the line is:

[tex]m = \frac{4.8-0}{8-0}[/tex]

[tex]m = \frac{3}{5}[/tex]

From graph we conclude that x-intercept of the line is [tex]b = 0[/tex]. Hence, the equation of the line is [tex]y = \frac{3}{5}\cdot x[/tex] and we proceed to plot the expression with the help of a graphing tool.

Answer:

he would have to change 19 and 25 because they dont match the rest of the numbers because they are odd numbers.

Answer:

c

Step-by-step explanation:

This is a parabola, so it is a quadratic parent function.

Answer:

Its just a slide 2 up and 3 to the right it seems. It can be a mirror because in never changes the shape. as of rules i dont understand want you need please comment and ill let you know

Step-by-step explanation:

It is not a rotation, a mirror a flip or anything like that i think its only slides.

I didnt se this before every slide counts as 2 so its 4 up and 6 to the right

Answer:

23.6 units

Step-by-step explanation:

If we have a circle of radius R, the perimeter of the arc is given by:

P = 2*pi*R

Now, if we only want to find the length of an arc defined by an angle "a", it will be:

L = (a/2*pi)*2*pi*R = a*R

In this case, we know that DA = 10, so we can think that this is a circle of radius R = 10 units

And for the arc DE, we have the angle:

a = 2.36 rad

replacing these two in the formula, we get:

L = 2.36*10 units = 23.6 units

Answer:

There isnt a diagram

Step-by-step explanation: