A B and C for a triangle where BAC = 90°, AB=15mm and bc= 18.1mm. Find the length of AC give you answer rounded to the 1 DP

Answer:

the answer is a

Step-by-step explanation:

the reason its a is because it just it

Answer:

Line 1: Is parallel Line 2: Is Neither Line 3: Is parallel

Answer:

a because u would practically take the negative off

Step-by-step explanation:

Answer:

Option D

Step-by-step explanation:

By the definition of the multiplicative inverse:

a * 1/a=1

Now, Multiplicative inverse of - 8/11:

=-8/11 * -11/8

=1

Answer:

-26

Step-by-step explanation:

2 × 3 + 4 − 6^2

PEMDAS

exponents are first in this equation

2 × 3 + 4 − 36

Then multiply

6 +4 -36

Then add and subtract from left to right

10-36

-26

Answer:

A) -26

Step-by-step explanation:

2 * 3 + 4 - 6²

Use PEMDAS to figure out the equation.

Pass parenthesis since there are none in the equation.

Evaluate all of the exponents.

2 * 3 + 4 - 36

Evaluate all of the multiplication in the equation.

6 + 4 - 36

Pass division since there isn't any in the equation.

Evaluate all of the addition in the equation.

10 - 36

Evaluate all of the subtraction in the equation.

-26.

Answer:

90

Step-by-step explanation:

Answer:

23 gallons per hour

Step-by-step explanation:

5 3/4 * 4 = 23

times the amount drank in 1/4 hours by 4 to get the amount drank in 1 hour

(1/4 * 4 = 1 hour (example))

Answer:

A) 115°

Step-by-step explanation:

if PQ || RS then those two angles are supplementary

Step-by-step explanation:

3:1 boys

x:4 boys (when there are 4 girls)

x = 3×4 = 12

there are 12 boys in the class.

Answer:Possible Answers: 13.2%. 5.7%. 15.0%.

Step-by-step explanation:

Answer:

A) 13

Step-by-step explanation:

If you recall the formula for finding a diagonal, or a^2 + B^2 = C^2, you will get 12^2 + 5^2 = C^2, if you solve that, you will get 13!

Answer:

A. - This is my guess.

Step-by-step explanation:

[tex] = - \frac{5}{3} + 2 \frac{1}{3} [/tex]

[tex] = - \frac{5}{3} + \frac{7}{3} [/tex]

[tex] = \frac{2}{3} [/tex]

Answer:

[tex] \sf \frac{2}{3} [/tex]

Step-by-step explanation:

[tex] \sf = - \frac{5}{3} + 2 \frac{1}{3} [/tex]

[tex] \sf = 2 \frac{1}{3} - \frac{5}{3} [/tex]

[tex] \sf = \frac{7}{3} - \frac{5}{3} [/tex]

[tex] \sf = \frac{7 - 5}{3} [/tex]

[tex] \sf = \frac{2}{3} [/tex]

Answer:

x= (5,0) y= (0,1)

Step-by-step explanation:

If the boy was 6 years old on the island when he got there and aged to 50 by the end of the movie, then he spent 22 hours on the Island

1 hour on the land = 2 years on the Island

Age of the boy when he got to the Island = 6 years

Age of the boy at the end of the movie = 50 years old

Difference in the boy's age = 50 - 6

Difference in the boy's age = 44 years

Since:

2 years = 1 hour

44 years = 44/2 hours

44 years = 22 hours

The boy was on the Island for 22 hours

Lear more here: https://brainly.com/question/25644135

Notice that 100 is 20 less than 120, or equivalently 2 standard deviations σ below the mean µ. So

P(x ≥ 100) = P(x ≥ µ - 2σ)

Recall the empirical rule for normal distributions (these are true for any mean µ and s.d. σ):

• P(µ - σ ≤ x ≤ µ + σ) ≈ 0.65

• P(µ - 2σ ≤ x ≤ µ + 2σ) ≈ 0.95

• P(µ - 3σ ≤ x ≤ µ + 3σ) ≈ 0.997

The probability we want is the same as

P(x ≥ µ - 2σ) = P(µ - 2σ ≤ x ≤ µ + 2σ) + P(µ + 2σ ≤ x)

or

P(x ≥ µ - 2σ) ≈ 0.95 + P(µ + 2σ ≤ x)

which is clearly some number larger than 0.95, so A must be correct.

Suppose a normal distribution has a mean of 120 and a standard deviation, P(x >= 100) is 0.975. Option A. This is further explained below.

Generally, normal distribution is simply defined as a function that displays the dispersion of numerous unknown parameters as a symmetrical bell-shaped graph.

In conclusion, based on the function

P(x ≥ µ - 2σ) ≈ 0.95 + P(µ + 2σ ≤ x)

the function P(x >= 100) is 0.975

Read more about normal distribution

https://brainly.com/question/15103234

#SPJ2

Answer:

60%

Step-by-step explanation:

1% is 3.5

10% is 35

210 / 35 = 6

Answer:

On average, he exercises 2.875 hours per week.

Step-by-step explanation:

Just do 11 1/2 (11.5) divided by 4, and you get your answer of 2.875 hours per week.

Answer:

no, it's 1.2

Step-by-step explanation:

The dimensions of triangle ΔDEF can be obtained from ΔABC by applying a scale factor of dilation of [tex]\displaystyle \frac{1}{2}[/tex].

Reasons:

The given vertices of the triangles are;

ΔABC: A(1, 5), B(3, 9), C(5, 3)

ΔDEF: D(-3, 3), E(-2, 5), and F(-1, 2)

The lengths of the sides of ΔABC are

AB = √((1 - 3)² + (5 - 9)²) = √20 = 2·√5

BC = √((5 - 3)² + (3 - 9)²) = √40 = 2·√10

AC = √((1 - 5)² + (5 - 3)²) = √20 = 2·√10

The lengths of the sides of ΔDEF are;

DE = √((-3 - (-2))² + (3 - 5)²) = √5

EF = FE = √((-1 - (-2))² + (2 - 5)²) = √10

DF = √((-3 - (-1))² + (3 - 2)²) = √5

Therefore;

[tex]\displaystyle The \ dilation \ that \ gives \ \Delta ABC = \frac{\overline {EF}}{\overline {BC}} = \frac{\overline {DE}}{\overline {AB}} = \frac{\overline {DF}}{\overline {AC}} = \frac{\sqrt{10} }{2\cdot \sqrt{10} } = \frac{1}{2}[/tex]

The ratio of the sides of ΔABC to the corresponding sides of ΔDEF are equal to [tex]\displaystyle \frac{1}{2}[/tex].

Which gives;

ΔDEF is a dilation of ΔABC, and ΔDEF and ΔABC are similar by the

definition of similarity in terms of a dilation.

Learn more here:

https://brainly.com/question/14380197

Answer:

Step-by-step explanation:

They are congruent by the definition of congruence in terms of rigid motions.

Step-by-step explanation:

just think - what does it mean to translate (shift) a graph upward by 5 units ?

does the graph change in its content ? no. all the functional result value (= y values or coordinates) are still calculated as before, BUT before marking them on the chart the y values are moved up by 5 units. that means they are increased by 5 (that is the only way to move something "up" on a coordinate grid).

so, in other words, f(x) is nothing else but h(x), but it increases the results of h(x) consistently by 5.

h(x) = 2x² + 4

f(x) = h(x) + 5 = 2x² + 4 + 5 = 2x² + 9

Answer:

$17.60

Step-by-step explanation:

Answer:

He can repair 9 books in 6 weeks

Step-by-step explanation:

1.5 x 6 = 9

Answer:

In six weeks, he can restore 9 antique books.

1.5 × 6 = 9

Step-by-step explanation:

hope this helps. . . <3

Answer:

18.8 in

Step-by-step explanation:

the pythagorean theorem states that for a right triangle with legs a and b and hypotenuse c, [tex]\sqrt{a^{2}+b^2}} =c[/tex]

the two legs are 8 and 17 inches. so we have [tex]\sqrt{8^{2}+17^2}} =c[/tex]. simplify to get sqrt(353) or around 18.79in

Answer:

18.8

Step-by-step explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

8^2 + 17^2 = c^2

64+289 = c^2

353=c^2

Taking the square root of each side

sqrt(353) = sqrt(c^2)

18.78829423 = c

To the nearest tenth

18.8 =c

Answer:see the photo I send to you

Step-by-step explanation:

Ok

Answer:

y = -3/8x - 9/4

Step-by-step explanation:

Since we know the equation is parallel to y = -3/8x + 2, the slope of our equation will also be -3/8

So our equation can be written as:

y = -3/8x + b

To find 'b', we can plug in the point (2, -3) into the equation:

-3 = -3/8 * 2 + b

b = 3/4 - 3 = -9/4

So our final equation becomes:

y = -3/8x - 9/4

Step-by-step explanation:

answer is -3.5........

Answer:

7. (0, -3) (1,-4) (2,-2)

Answer:

m ∠x = 81° and m ∠y = 109°

Step-by-step explanation:

m ∠R = 1/2 (arc REG)         m ∠G = 1/2(arc REF)

89° = 1/2 (arc REG)             81 = 1/2(arc REF)

178° = arc REG                    162° = arc REF

  m ∠x = 1/2 arc REF

  m ∠x = 1/2( 162°)

  m ∠x = 81°       or m ∠G = m ∠x  because these to angles intersect the same arc, therefore they are equal.

Now the polygon interior angles = 360° and you know the measure of three of the four angles, solve for the missing angle .

m ∠R + m ∠x + m ∠y + m ∠G = 360°

 89° +  81° + m ∠y + 89° = 360°

(89 + 81 + 81) + m ∠y = 360°

251° + m ∠y = 360°

m ∠y = 109°

Answer:

Option D is your answer.

Step-by-step explanation:

Remember that the x-values are the x coordinates and the y-values are the y coordinates in an ordered pair. Ordered pairs are written like this (x,y).

So for line r, you got (-6,4), (-3,0), and (0,-4).

But you only need two of these pairs to determine slope. Let's do that real quick, by using this formula. (Sorry if it's small)⤵⤵⤵

[tex] \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]

We'll use (-6,4) and ( -3,0).

0 - 4 = -4

-3 - (-6) = -3 + 6 = 3

So slope of line r is -4/3.

Now we'll do the same for line s:

Ordered pairs = (-5,-4), (5,0), and (20,6)

We'll use (-5,-4) and (5,0).

0 - (-4) = 0 + 4 = 4

5 - (-5) = 10

So slope of line s is 4/10 or 2/5.

Now we got to find the option choice that has these as the slopes.

We'll turn each into slope-intercept form.

A)

- Subtract 4x on both sides to get

3y = -4x - 12, then divide 3 on both sides to get y = -4/3 x - 4.

- Subtract 2x on both sides to get

-5y = -2x + 10, then divide -5 on both sides to get y = 2/5 x - 2.

B)

- Add 4x on both sides to get

3y = 4x + 12, the divide 3 on both sides to get y = 4/3 x + 4.

- Subtract 2x on both sides to get

-5y = -2x - 10, divide -5 on both sides to get y = 2/5 x + 2.

C)

- Subtract 4x on both sides to get

-3y = -4x - 12, then divide -3 on both sides to get y = 4/3 x + 4.

- Add 2x on both sides to get

-5y = 2x + 10, then divide -5 on both sides to get y = -2/5 x -2.

D)

- Add 4x on both sides to get

-3y = 4x - 12, then divide -3 on both sides to get y = -4/3 x + 4.

- Add 2x on both sides to get

5y = 2x + 10, then divide 5 on both sides to get y = 2/5 x + 2.

After all that writing we can tell that D is our answer, because both -4/3 and 2/5 appear as slopes.

Sorry this may seem like a lot, but the process really isn't that hard. Hope this helps :)