14. What is the length of a diagonal of rectangle EFGH? Show your work

Answer:

90 mm^2

Step-by-step explanation:

Divide it in 2 figures

Get the area of the one of 5 * 6 mm = 30mm^2

Then the one of 6 * 10 mm = 60 mm^2

Then just add it up. 90 mm^2

Answer:

58 students

Step-by-step explanation:

Given

[tex]Total = 85[/tex]

[tex]French = 27[/tex]

[tex]Geometry = 51[/tex]

[tex]History = 38[/tex]

[tex]None = 5[/tex]

[tex]All = 2[/tex]

Required

Students that take only 1 subjects

The attached image illustrates the question.

For French only (x), we have:

[tex]x + 7 -2+10-2+2=27[/tex]

[tex]x + 15=27[/tex]

Collect like terms

[tex]x =- 15+27[/tex]

[tex]x =12[/tex]

For Geometry only (y), we have:

[tex]y+10-2+15-2+2=51[/tex]

[tex]y+23=51[/tex]

Collect like terms

[tex]y=-23+51[/tex]

[tex]y=28[/tex]

For History only (z), we have:

[tex]z +15-2+7-2+2=38[/tex]

[tex]z +20=38[/tex]

Collect like terms

[tex]z =-20+38[/tex]

[tex]z =18[/tex]

Students with one subject is then calculated as:

[tex]1\ subject = x+y+z[/tex]

[tex]1\ subject = 12 + 28 + 18[/tex]

[tex]1\ subject = 58[/tex]

Answer:

I would tell them to buy a ps5 for me

Step-by-step explanation:

For a credit card be careful with what you buy, save it for the important stuff. Also make sure to constantly check your credit score and to check your purchases to make sure that only what you purchased is on there.

Answer:

1109.1cm³

Step-by-step explanation:

V

=

π

r

2

h

3

3.14 ×8.7² × 14/3

The solutions for the equation 23 - x² - 2x = 0 are:

x = 4

x = -6

Option A is the correct answer.

We have,

To solve the rational equation:

1/(x - 1) - 1/(x + 3) - 1/5 = 0

We need to find the common denominator and combine the fractions on the left-hand side.

The common denominator is (x - 1)(x + 3)(5).

Multiplying each term by the common denominator:

[(x + 3)(5) - (x - 1)(5) - (x - 1)(x + 3)] / [(x - 1)(x + 3)(5)] = 0

Simplifying:

[5(x + 3) - 5(x - 1) - (x - 1)(x + 3)] / [(x - 1)(x + 3)(5)] = 0

[5x + 15 - 5x + 5 - (x² + 3x  - x - 3)] / [(x - 1)(x + 3)(5)] = 0

[5x + 15 - 5x + 5 - x² - 3x + x + 3 ] / [(x - 1)(x + 3)(5)] = 0

Simplifying further:

[23 - x² - 2x ] / [(x - 1)(x + 3)(5)] = 0

Now, we set the numerator equal to zero since a fraction is zero if and only if its numerator is zero:

23 - x² - 2x = 0

To solve the quadratic equation 23 - x² - 2x = 0, we can rearrange it to the standard form:

x² + 2x - 23 = 0

Now, we can solve it using factoring, completing the square, or the quadratic formula. Let's solve it using the quadratic formula:

The quadratic formula states that for an equation in the form

ax² + bx + c = 0, the solutions for x are given by:

x = (-b ± √(b² - 4ac)) / (2a)

For our equation x² + 2x - 23 = 0, the coefficients are a = 1, b = 2, and

c = -23.

Substituting these values into the quadratic formula:

x = (-2 ± √(2² - 4(1)(-23))) / (2(1))

Simplifying:

x = (-2 ± √(4 + 92)) / 2

x = (-2 ± √96) / 2

x = (-2 ± 4√6) / 2

Simplifying further:

x = -1 ± 2√6

Therefore,

The solutions for the equation 23 - x² - 2x = 0 are:

x = -1 + 2√6 = 3.89 = 4

x = -1 - 2√6 = -5.89 = -6

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Answer:

A. Adult=68, seniors=25B. 10a + 10s=1270. a + s=93

Step-by-step explanation:

15a + 10s =1270 equation 1

a + s =93 equation 2

a=93-s. Isolate a for equation 2

15(93-s) + 10s =1270 substitute value of a in equation 2 (93-s) with value of a in             equation 1

1395-15s+10s=1270

-5s=-125

S=25

solve for a

a + s =93

a + 25=93

a=68

‘check answer

15a + 10s=1270

15(68) + 10(25)=1270

1020+ 250=1270

Answer:

Step-by-step explanation:

okay so if the centimeter is 3 you would multiply it by 6 cm and that

18 and then mulitiply that by 12 and your answer is

216

The greatest number of bracelets Lauren can make using the black beads and the silver beads is 12.

In order to determine the greatest number of bracelets that can be made, the highest common factor of both numbers have to be determined.

Highest common factor is the highest factor that is common to two or more numbers

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Answer:

91 (1/3)

Step-by-step explanation:

first do 750 / 100 becuase thats is 100%

the answer to 750 / 100 is 7.5 then take 7.5 what you do is 685 / 7.5 and you get the answer

Answer:

-8.6666666666667% decrease

Step-by-step explanation:

Answer:

about 33.24 yards

Step-by-step explanation:

a² + b² = c²

so, 36² + b² = 49²

1296 + b² = 2401

b² = 1105

Take the square root of both sides..

b = 33.24 yards

Answer:

Hello! answer: D. 180

Step-by-step explanation:

What you do for these is find the surface area for each face separately then add them up so...

for the sides its 18 for the top and bottom it's 48 for the front and back it's 24 so now we add all 6 up so... 18 + 18 + 48 + 48 + 24 + 24 = 180 Hope that helps!

Answer:

180 in²

Step-by-step explanation:

To wrap the given box, we need to find the total surface area of the figure.

TSA of cuboid = 2 (lb + bh + hl)

= 2 { (6*8) + (8*3) + (3*6) }

= 2 ( 48 + 24 + 18 )

= 2 * 90

= 180 in²

Answer:

B. 215cm^2

Step-by-step explanation:

180 + 35

Answer: B. 215

Step-by-step explanation:

I found the answer button.

The full height is 20, and the height of the parallelogram is 10. So that means the triangles height is 20-10=10. The top and bottom sides of a parallelogram are the same, so the base of the triangle is 18-(6+5)=7. So the area of the triangle is (7x10)/2=35. The area of a parallelogram can be count that same way as a regular rectangle. So 18x10=180. Putting those two together, 35+180=215.

Answer:

The first thing you should do for this case is to graph the data you have in the statement to see the relationship between grapes and blueberries.

The function represented by the table is

y = 0.25x

Then, as Mandie is making 15 glasses of fruit salad, we have:

y + x = 15

We have two equations and two unknowns that we must solve.

y = 0.25x

y + x = 15

Resolving

For x:

0.25x + x = 15

1.25x = 15

x = 15 / 1.25 = 12

For y:

y = 0.25x = 0.25 (12) = 3

Answer

The ratio of grapes to blueberries she should use is 12: 3

Answer:

scale = 1 in: 5 ft

         = 1inch x 5 5/8  = 5.625

              5 ft x 5 5/8    28.125 ft

The actual height of the house is 28.125 ft

Answer:

1

Step-by-step explanation:

By question it's given that ,

=> h(x) = -x - 1

=> h(-2) = -(-2)-1

=> h(-2) = 2 - 1

=> h(-2) = 1

Answer:

the ans is 1 hope ut may help u

Step-by-step explanation:

x=-2

x = -(-2) -1

x=2-1

x=+1

Answer:

D) Consistent and Independent

Answer:

D.consistent and independent

Answer:

Where is the question? The Answer is 20/29

Step-by-step explanation:

Brainiest

Answer:

cubic

Step-by-step explanation:

y = x³  is a cubic shape  try graphing it

Answer:

$65.00

Step-by-step explanation:

Cost price of shirt after giving discounts is equals to [tex]\$68[/tex].

" Cost price is defined as the price to be paid at the time of purchase any product."

According to the question,

Initial cost price of shirt [tex]= \$100[/tex]

First discount [tex]= 15\%[/tex]

Discount amount [tex]= 15\%[/tex] of [tex]100[/tex]

                             [tex]= \frac{15}{100} \times 100\\\\= \$15[/tex]

Cost price after first discount [tex]= 100 - 15[/tex]

                                                 [tex]= \$85[/tex]

Second discount [tex]= 20\%[/tex]

Discount amount [tex]= 20\%[/tex] of [tex]85[/tex]

                             [tex]= \frac{20}{100} \times 85\\\\= \$17[/tex]

Cost price after first discount [tex]= 85 - 17[/tex]

                                                 [tex]= \$68[/tex]

Hence, cost price of shirt after giving discounts is equals to [tex]\$68[/tex].

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Answer:

Agree

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

Remark

The denominator of the probability is the entire amount present. Just add

Denominator

Blue/Large      17

Red/Large        8

Small                3

Red Small      12

Total               40

Red / Small

P(red/small) = 12 / 40

P(red/Small)  = 3 / 10

Answer:

The opposite of -4.1 is 4.1.

opposites are the same number but either with a + sign or a - sign

EX)

7, -7

5, -5

4, -4

Answer:

c. 85 % is the probability

Answer:

36

Step-by-step explanation:

multiple by the length value by 3

9514 1404 393

Answer:

  (√17 -4√595)/102

Step-by-step explanation:

To use the sine of the angle sum formula, we need to know the sine and cosine of each of the angles.

  sin(sin^-1(1/6)) = 1/6 . . . . a first-quadrant angle

  cos(sin^-1(1/6)) = √(1 -(1/6)²) = √(35/36) = (√35)/6

  sin(tan^-1(-4)) = -4/√(1+(-4)²) = -4/√17 . . . . a 4th-quadrant angle

  cos(tan^-1(-4)) = √(1 -(-4/√17)²) = 1/√17

The sum of angles formula is ...

  sin(α+β) = sin(α)cos(β) +cos(α)sin(β)

So, our sine is ...

  [tex]\sin\left(\sin^{-1}\left(\dfrac{1}{6}\right)+\tan^{-1}(-4)\right)=\dfrac{1}{6}\cdot\dfrac{1}{\sqrt{17}}+\dfrac{\sqrt{35}}{6}\cdot\dfrac{-4}{\sqrt{17}}\\\\=\dfrac{1-4\sqrt{35}}{6\sqrt{17}}=\boxed{\dfrac{\sqrt{17}-4\sqrt{595}}{102}}[/tex]

Answer:

3rd

Step-by-step explanation:

MARK AS BRAINLEST!!

Answer:

4/6 or 2/3

Step-by-step explanation:

6 sides with 4 of the numbers being greater than 2; 4/6. The simplified version is 2/3.

Answer:

a) P (0 defective component) = 0.5

   P( 1 defective component ) = 0.35

    P( 2 defective component ) = 0.15

b) P( 0 ) = 0

   p ( 1 ) =  1

   p ( 2 ) = 0.33

Step-by-step explanation:

p( no defective ) = 0.5

p( 1 is defective ) = 0.35

p( 2 is defective ) = 0.15

Given that 2 components are selected at random

a) Given that neither component is defective

Probability of 0 defective component = 0.5

P( 1 defective component ) = 0.35

P( 2 defective component ) = 0.15

b) Given that one of the two tested component is defective

P( 0 defective ) = 0

P( 1 defective ) = P ( [tex]\frac{x=1}{x\geq 1}[/tex] ) = p( x = 1 ) / 1 - P ( x = 0 )

                                        = ( 0.5 )^1 ( 0.5 )^0 /  1 - ( 0.5)^0 (0.5)^1

                                        = 0.5 * 1 / 1 - 0.5 = 0.5 / 0.5 =  1

p ( 2 defective ) = p( x = 3 ) / 1 - P ( x = 0 )

                         = ( 0.5 )^2 ( 0.5 )^0 /  1 - ( 0.5)^0 (0.5)^2

                         = 0.25 / 0.75 = 0.33