A triangular traffic sign has a height of 45 cm. It is 75 cm long at its base. What is the area of the sign?

Answer:

4th option

Step-by-step explanation:

Given

[tex]\frac{x}{x^2+3x+2}[/tex] - [tex]\frac{1}{(x+2)(x+1)}[/tex] ← expand denominator using FOIL

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

Since the denominators are common, then subtract the numerators

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

Answer:

  3/8

Step-by-step explanation:

Answer:

(-∞,20}

Step-by-step explanation:

Use the commutative property to reorder the terms.

Separate the function into parts to determine the domain of each part

The domian of a rational function are all values of x which the denominator is different than 0

Find the intersection

Step-by-step explanation:

5:6

is your answer.

good morning

have a great day

Answer:

[tex] \frac{5}{3} {a}^{2} b + \frac{3}{4} abc + 5 \\ \\ \frac{5}{3} ( { - 2)}^{2} (1) + \frac{3}{4} ( - 2)(1)(2) \\ \\ \frac{5}{3} (4) + \frac{3}{4} ( - 4) \\ \\ = \frac{20}{3} - 3 \\ \frac{20 - 9}{3} = \frac{11}{3} = 3.666[/tex]

3x²y+5xy²+2xyz = 3(-1)²(2) + 5(-1)(2)² + 2(-1)(2)(-2) = 3(1)(2) + 5(-1)(4) + 2(4) = 6 – 20 + 8 = – 6

I hope I helped you^_^

Answer:

5300 m

Step-by-step explanation:

Hi there!

First, we must change 5.342 km to meters by multiplying it by 1000:

5.342 × 1000 = 5342

Now, we know that 5.342 km is equivalent to 5342 m.

To round to the nearest 100 m, look at the hundreds place value in 5342 m. It is 3. The number before is 4. Because 4 is less than 5, it means we keep 3 as 3 and replace all the digits before with 0:

5300 m

I hope this helps!

Answer:

t = 41.6 (the 6 is repeating)

Step-by-step explanation:

2.5t + 350 = 3t + 225

Subtract 2.5t from both sides to get:

350 = 3t + 225

Now subtract 225 from both sides to get:

125 = 3t

Divide both sides by three.

t = 41.6 (the 6 is repeating)

Answer:

2/7

Step-by-step explanation:

Probability=number of names chosen/total number of names

p=2/7

Here in this question order is mentioned so we will use permutation.

and the formula is P(n,r) = [tex]\frac{n!}{(n-r)!}[/tex]

When the order of selecting something doesn't matter we use combination and when order of selection matters we use permutation.

In the given question number of unique names (n) = 7 and we are taking 2 names at a time.So the permutation of 7 names takes 2 at a time is P(7,2) =

[tex]\frac{7!}{(7-2)!}[/tex] = [tex]\frac{7!}{5!}[/tex] = [tex]\frac{7*6*5*4*3*2*1}{5*4*3*2*1}[/tex] = 7x6 = 56.

So, the number of ways of selecting is 56.

Learn more about Permutations and Combinations here :

https://brainly.com/question/13387529

#SPJ2

[tex]s = ut + \frac{1}{2} a {t}^{2} \\ \\ \frac{1}{2} a {t}^{2} = s - ut \\ \\ a = (s - ut) \: \div (\frac{1}{2} {t}^{2}) \\ \\ a = (s - ut) \: \times ( \frac{2}{ {t}^{2} } ) \\ \\ a = \frac{2s - 2ut}{{t}^{2}} \\ \\ a = \frac{2s}{{t}^{2}} - \frac{2ut}{{t}^{2}} \\ \\ \\ a = \frac{2s}{{t}^{2}} - \frac{2u}{t} [/tex]

I hope I helped you^_^

Answer:

5n - 2n

Step-by-step explanation:

Step-by-step explanation:

[tex]five \: times \: number = 5n \\ twice \: number = 2n \\ so \: \\ 5n - 2n \\ thank \: you[/tex]

Let other one be x

ATQ

[tex]\\ \sf\longmapsto x+\dfrac{-8}{17}=-8[/tex]

[tex]\\ \sf\longmapsto\dfrac{17x-8}{17}=-8[/tex]

[tex]\\ \sf\longmapsto 17x-8=17(-8)=-136[/tex]

[tex]\\ \sf\longmapsto 17x=-136+8[/tex]

[tex]\\ \sf\longmapsto 17x=-128[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-128}{17}[/tex]

Answer:

Step-by-step explanation:

The other number is x:

A scale drawing is an illustration of shape where the accurate size of the new shape is in proportion to the previous shape.

Given that:

[tex]k = 3[/tex] --- the scale factor

From the given polygon, we have:

[tex]Side_1 = 8[/tex]

[tex]Side_2 = 6[/tex]

The corresponding sides of these two sides are:

[tex]Side_1 = 8 \times 3[/tex]

[tex]Side_1 = 24[/tex]

[tex]Side_2 = 6 \times 3[/tex]

[tex]Side_2 = 18[/tex]

See attachment for the scaled drawing

Read more about scaled drawing at:

https://brainly.com/question/980463

Answer:

-5/4x + 5/2

Step-by-step explanation:

Slope: (-3-2)/5-1) = -5/4

Point: (1,2)

y-2 = -5/4 (x -1)

y - 2 = -5/4x +5/4

y = -5/4x + 5/4 + 2

y = -5/4x + 13/4

Answer:

9 cups

Step-by-step explanation:

6 ÷ 2/3

6/1 ÷ 2/3

6/1 x 3/2 = 18/2 = 9/1 = 9

Coordinate geometry is the use of a 2D plane to represent points.

Given that:

[tex]A = (-5,5) \to A' = (5,5)[/tex]

[tex]B = (-2,2) \to B' = (2, 2)[/tex]

[tex]C = (-3,2) \to C' = (2,3)[/tex]

By observing the pattern of transformation, the rule is:

[tex](x,y) \to (y,-x)[/tex]

Hence, the transformation is a rotation of 270 degrees clockwise

The length is calculated using the following distance formula:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]

So, we have:

[tex]AB = \sqrt{(-5 - -2)^2 + (5 - 2)^2} =\sqrt{18[/tex]

[tex]BC = \sqrt{(-2 - -3)^2 + (2 - 2)^2} =1[/tex]

[tex]AC = \sqrt{(-5 - -3)^2 + (5 - 2)^2} =\sqrt{13[/tex]

And

[tex]A'B' = \sqrt{(5 -2)^2 + (5 - 2)^2} =\sqrt{18[/tex]

[tex]B'C' = \sqrt{(2 - 2)^2 + (2 - 3)^2} =1[/tex]

[tex]A'C' = \sqrt{(5 - 2)^2 + (5 - 3)^2} =\sqrt{13[/tex]

By comparing the lengths of the image and the preimage, we can conclude that the transformation preserves length.

The measure of the angles is calculated as follows:

[tex]a^2 = b^2 + c^2 -2ab \cos A[/tex]

So, we have:

[tex]18 = 1 + 13 -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]18 - 1 - 13= -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]4= -2 \times 1 \times \sqrt{13} \cos C[/tex]

[tex]-2= \sqrt{13} \cos C[/tex]

Make cos C the subject

[tex]\cos C = -0.5547[/tex]

[tex]C = cos^{-1}(-0.5547)[/tex]

[tex]C = 124^o[/tex]

Also, we have:

[tex]\frac{a}{\sin A} =\frac{c}{\sin C}[/tex]

So, we have:

[tex]\frac{1}{\sin A} =\frac{\sqrt{18}}{\sin( 124)}[/tex]

[tex]\frac{1}{\sin A} =5.1175[/tex]

Rewrite as:

[tex]\sin A = \frac{1}{5.1175}[/tex]

[tex]\sin A = 0.1954[/tex]

[tex]A = \sin^{-1}(0.1954)[/tex]

[tex]A = 11^o[/tex]

Also, we have:

[tex]A + B + C = 180^o[/tex] --- sum of angles in a triangle

[tex]11 + B + 124 = 180^o[/tex]

Collect like terms

[tex]B = 180 -11 - 124[/tex]

[tex]B = 45[/tex]

Hence:

[tex]\angle A = 11[/tex]   [tex]\angle B = 45[/tex] and [tex]\angle C = 124[/tex]

Read more about coordinate geometry at:

https://brainly.com/question/1601567

Answer:

5

Step-by-step explanation:

If all question are worth same same amount of points, you can miss 5 questions out of 35 and get an 86. If you miss 6 questions you would get an 83.

hope this helped!

Answer:

5

Step-by-step explanation:

Answer: So rounding 69581.491337 to the nearest thousand is

70000

Answer: 3a+b/9

(the slash represents a fraction so the answer is a fraction)

Step-by-step explanation:

Answer:

8x^2 +10x -5

Step-by-step explanation:

you'll multiply the second expression by -1, and you'll get +8x-9, add both expressions together and your final answer will be 8x^2 +10x -5

78 × 32 = 2496 → answer

...

Answer:

thx

Step-by-step explanation:

8k - 9(4k + 4) = 8k - 36k - 36 = -28k - 36

Let's rewrite in the simplest term,

→ 8k - 9(4k + 4)

→ 8k - 36k - 36

→ [-28k - 36]

The simplest term is -28k - 36.

Answer:

-21 r^5

Step-by-step explanation:

(7r) (-3r^4)

Multiply the coefficients

7*(-3)

-21

Multiply the variables

r * r^4 = r^(4+1) = r^5

-21 r^5

Answer:

C = 7p

Step-by-step explanation:

Each pound costs 7 dollars, and he buys P, an unknown amount. This equals C.

A. √50 = 5√2 ≈ 7,07107

B. √169 = √13² = 13

C. 736

D. 225

(6u+3)+(6u+3)+(8u-3)

=6u+3+6u+3+8u-3

=20u+3

12x - 10.5y - 48 = 0

______________

Answer:

190 goats

33 cows

70 chickens

Answer:

Option(A) [tex]4^{\frac{5}{8}}[/tex] is equivalent to [tex]$\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$[/tex]

Step-by-step explanation:

Given:

[tex]$\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$[/tex]

To simplify the expression

Using the exponent rule,

[tex]$\frac{x^{a}}{x^{b}}=x^{a-b}$[/tex]

[tex]$\frac{4^{\frac{7}{3}}}{4^{\frac{1}{4}}}$[/tex][tex]=4^{\frac{7}{8}-\frac{1}{4}}[/tex]

[tex]=4^{\frac{5}{8}}[/tex]

The correct answer option is (A) [tex]4^{\frac{5}{8}}[/tex]

Learn more about Exponent rule, refer:

the answer must be t equal to Q over MC

Answer:

T= Q over MC

Step-by-step explanation:

I did the test

Answer:

Yes!

Step-by-step explanation:

It is also a fraction. But, again fraction is a rational number and the number is also real (>0).