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brilliants [131]
3 years ago
13

the map shows Henry's town . Each unit represents 1 kilometer. After school, Henry walks to the library. How far does he walk?​

Mathematics
2 answers:
liberstina [14]3 years ago
4 0

Answer:

d

Step-by-step explanation:

given x² + 14x + 48

consider the factors of the constant term (+ 48) which sum to give the coefficient of the x- term (+ 14)

the factors are + 6 and + 8, since

6 × 8 = 48 and 6 + 8 = 14

x² + 14x + 48 = (x + 6)(x + 8) ← in factored form

ivann1987 [24]3 years ago
3 0

Answer:

Henry walks 7 kilometres from school to library

Step-by-step explanation:

Given:

1 unit = 1 Kilometre

To Find:

The distance between the library and the school

Solution:

The map below shows that  Henry has walked from

-2 coordinate in the x axis to coordinate 5  along the same x axis

So he has walked a total of 7 units

Since we know that 1 unit  = 1 Kilometre,

7 units will be

=> 7 x 1

=> 7 Kilometres

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Nezavi [6.7K]

\sqrt{3Answer:

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45=opposite/hypotenuse

1/\sqrt{2=x/26

x=26/\sqrt{2

x=13\sqrt{2

x=18.4

4 0
3 years ago
X is a normally Distributed random variable with a standard deviation of 4.00. Find the mean of X when 64.8% of the area lies to
Cerrena [4.2K]

Answer:

7

Step-by-step explanation:

σ = 4 ; μ =?

8.52 to the left of X

.

P(X < 8.52) = 64.8%

P(X < 8.52) = 0.648

Using the Z relation :

(x - μ) / σ

P(Z < (8.52 - μ) / 4)) = 0.648

The Z value of 0.648 of the lower tail is equal to 0.38 (Z probability calculator)

Z = 8.52 - μ / 4

0.38 = 8.52 - μ / 4

0.38 * 4 = 8.52 - μ

1.52 = 8.52 - μ

μ = 8.52 - 1.52

μ = 7

5 0
3 years ago
The diagonals of a kite separate the quadrilateral into four congruent triangles
statuscvo [17]
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6 0
3 years ago
X/16-1/4=1/2 solve for x
Alina [70]

x=12

x/16-1-4=1/2

multiply by both sides

x-4=8

move constant to the right side of and change its sign

x=8+4

add the numbers

x=12

4 0
3 years ago
A country's population in 1990 was 134 million. In 2000 it was 139 million. Estimate the population in 2014 using the exponentia
Rainbow [258]

Answer

P = 147 million

Step by step explanation

P = Po r^t -------------(1)

Po initial population, r = rate, t = number of years

Here P = 139, Po = 134, t = 10.

Now plug in these values into the formula and find the rate r.

139 = 134r^10

r^10 = 139/134

r = (139/134)^1/10

Now we got r, now plug in the equation (1)

Let's find the population in the year 2014, here t = 24

P = 134 (139/134)^(24/10)

P = 134(139/134)^(2.4)

P = 134*1.1

P = 147.4

P = 147 million

The country's population in 2014 is 147 million (estimation).

Thank you.

7 0
3 years ago
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