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ira [324]
3 years ago
15

• Write an expression for the perimeter of a

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
6 0

Answer:

10 (X+1)

Step-by-step explanation:

Length = 2x + 5

Width = 3x

Perimeter of rectangle= 2(L + W)

P= 2\times (2x+5+3x)

P= 2\times (5x+ 5)

Now, taking 5 as common

P= 2\times 5 (x + 1)

∴ Perimeter of rectangle= 10\times (x+1)

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What is the y-intercept of the line whose equation is y=-x-2?
dalvyx [7]

Answer:

-2

Step-by-step explanation:

If we have an equation of the form y = mx +b then the y-intercept is b.

So now here we have y =-x - 2. Therefore b = -2 and we conclude the y-intercept is -2.

8 0
3 years ago
Read 2 more answers
Write an absolute value inequality for each of the following. Then graph the
n200080 [17]

An absolute value inequality for "all numbers less than 7 and greater than -7" is given by |x| < 7.

<h3>How to write an absolute value inequality?</h3>

Based on the information provided, we can logically deduce that the statement describes an intersection of set because the word "and" was used.

This ultimately implies that, we would use the less than (<) symbol to write an absolute value inequality for the given statement:

|x| < 7

Therefore, this can be translated as follows:

-7 < x < 7      or      x < 7  and    x > -7.

Read more on number line here: brainly.com/question/24644930

#SPJ1

8 0
2 years ago
The leaning tower of Pisa currently "leans" at a 4 degree angle and has a vertical height of 55.86 meters. How tall was the lean
Marizza181 [45]

Answer:

56 meters.

Step-by-step explanation:

Please find the attachment.

Let the leaning tower's be h meters tall, when it was originally built.

We can see from our attachment that the side with length 55.86 meters is hypotenuse and h is adjacent side for 4 degree angle.

Since we know that cosine relates the adjacent and hypotenuse of a right triangle.

\text{Cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}

Upon substituting our given values we will get,

\text{Cos (4)}=\frac{55.86}{h}

h=\frac{55.86}{\text{Cos (4)}}

h=\frac{55.86}{0.99756405026}

h=55.996\approx 56                      

Therefore, the leaning tower was approximately 56 meters, when it was originally built.

6 0
3 years ago
Scott and Letitia are brother and sister. After dinner, they have to do the dishes, with one washing and the other drying. They
ehidna [41]

Answer:

The probability that Scott will wash is 2.5

Step-by-step explanation:

Given

Let the events be: P = Purple and G = Green

P = 2

G = 3

Required

The probability of Scott washing the dishes

If Scott washes the dishes, then it means he picks two spoons of the same color handle.

So, we have to calculate the probability of picking the same handle. i.e.

P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)

This gives:

P(G_1\ and\ G_2) = P(G_1) * P(G_2)

P(G_1\ and\ G_2) = \frac{n(G)}{Total} * \frac{n(G)-1}{Total - 1}

P(G_1\ and\ G_2) = \frac{3}{5} * \frac{3-1}{5- 1}

P(G_1\ and\ G_2) = \frac{3}{5} * \frac{2}{4}

P(G_1\ and\ G_2) = \frac{3}{10}

P(P_1\ and\ P_2) = P(P_1) * P(P_2)

P(P_1\ and\ P_2) = \frac{n(P)}{Total} * \frac{n(P)-1}{Total - 1}

P(P_1\ and\ P_2) = \frac{2}{5} * \frac{2-1}{5- 1}

P(P_1\ and\ P_2) = \frac{2}{5} * \frac{1}{4}

P(P_1\ and\ P_2) = \frac{1}{10}

<em>Note that: 1 is subtracted because it is a probability without replacement</em>

So, we have:

P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)

P(Same) = \frac{3}{10} + \frac{1}{10}

P(Same) = \frac{3+1}{10}

P(Same) = \frac{4}{10}

P(Same) = \frac{2}{5}

8 0
3 years ago
¿Qué peso transporta una tractomula que lleva 134 bultos de trigo de 62 kilos cada uno, 28 sacos de café de 50 kilos cada uno y
Snowcat [4.5K]

Answer:

the total weight is 12,483 kilos

Step-by-step explanation:

The computation of the weight is shown below:

Wheat = 134 × 62 = 8308

Coffee = 28 × 50 = 1400

Rice 37 ×  75 = 2775

Total weight is

= 8308 + 1400 + 2775

= 12,483 kilos

Hence, the total weight is 12,483 kilos

5 0
3 years ago
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