2 1/3 x -1 1/2=? Awarding Brainlyest lol

1. A MAP SCALE READS 1CM:5KM. IF A DISTANCE ON THE MAP MEASURES 7CM, THE ACTUAL DISTANCE WILL BE?. 2. A SCHOOL DINING HALL IS 35

Agata [3.3K]

Answer:

1. 35 km

2. 1 cm to 5m

3. 6 cm

4. $42^\circ$

5. 16.73 m

Step-by-step explanation:

Solution 1.

Reading of map scale = 1cm:5km

i.e. 1 cm is equivalent to 5 km

Measurement of map = 7 cm

Actual distance = Measurement of map $\times 5$

Actual distance = 7 $\times 5$ = 35 km

-------------------

Solution 2.

Length of dining hall = 35 m

Measurement of map = 7 cm

Scale = Measurement of map : Length of dining hall (i.e. ratio)

Scale = 7 cm :35 m = 1 cm : 5 m

-------------------

Solution 3.

Length of building = 30 m

Scale = 1 cm to 5m

5 m is equivalent to 1 cm on scale

1 m is equivalent to $\frac{1}{5}$ cm on scale

30m is equivalent to $\frac{1}{5} \times 30$ = 6 cm on scale

-------------------

Solution 4.

Angle of elevation of A from B = $42^\circ$

Angle of depression of B from A = ?

Please refer to the image attached, we can clearly observe that both the angles (i.e. angle of elevation from A to B and angle of depression from B to A )will be equal.

Angle of depression of B from A = $42^\circ$

-------------------

Solution 5.

Given that:

String length, or hypotenuse of triangle BC= 25 m

Angle of string with horizontal, $\angle B = 42^\circ$

Please refer to the attached image for the clear understanding of the situation.

To find:

Height, AC = ?

We can use trigonometric identity:

$sin\theta = \dfrac{Perpendicular}{Hypotenuse}$

OR

$sinB = \dfrac{AC}{BC}\\\Rightarrow sin42^\circ = \dfrac{AC}{25}\\\Rightarrow AC = 25 \times 0.67\\\Rightarrow AC = 16.73 m$

============

So, the answers are:

1. 35 km

2. 1 cm to 5m

3. 6 cm

4. $42^\circ$

5. 16.73 m

7 0

3 years ago

26×107 What is the value of the second partial product

MissTica

2782 is the answer my friend

8 0

4 years ago

Arelli uses 6.9 pints of white paint and blue paint to paint her bedroom walls. 3/4 of this amount is white paint, and the rest

Reika [66]

Answer:

1.73

Step-by-step explanation:

Arelli use 6.9 pints of white and blue paints for her bedroom

3/4 of this amount is white

3/4

= 0.75×100

= 75

100-75

= 25

Amount of blue paint is

25/100×6.9

= 0.25×6.9

= 1.73

4 0

3 years ago

Given the function g(x) = x^2+ 10x + 23, determine the average rate of change of

OLEGan [10]

hey look, I suck at math. your probably better than me. DO NOT GIVE UP!! and if you, well your screwed. what I am trying to say is... never give up if you give up now, someone could steal the dream you had for a long time. don't give up on that dream, you WILL succeed.

4 0

3 years ago

Amy and Jed are among the 35 people, who are standing in a line, one behind the other, waiting to buy movie tickets. The number

Artemon [7]

Answer: 29

Step-by-step explanation:

Given : Total people in the line = 35

Number of people behind Amy = 15

⇒Number of people in front of Amy = Total people - (Amy and people behind Amy)

= 35-15-1

= 19

According to the question,

Number of people in front of Amy + Number of people behind Jed =24

⇒ 19 + Number of people behind Jed =24

⇒ Number of people behind Jed =24 -19 = 5

Then, Number of people are in front of Jed = 35 - (Jed and people behind Jed)

= 35-(5+1)

= 35-6=29

Hence, there are 29 people are in front of Jed.

7 0

3 years ago