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3 years ago

Somebody help please

Mathematics

2 answers:

Gnoma [55]3 years ago

8 0

Answer:

d-44 needs to add up to 90 pretty sure

ElenaW [278]3 years ago

5 0

Answer: 44

Step-by-step explanation:

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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:

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

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

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

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

Which equation represents the line shown on he graph?

hichkok12 [17]

It is the first one ...w= 3z+2

4 0

3 years ago

Selena brought 3.75 pounds of meat for $4.64 per round. what was the total cost of meat?

Oksana_A [137]

3.75 pounds * $4.64 /pound = $17.40

Answer The total cost of the meat was $17.40

8 0

3 years ago

Explain the steps for converting a terminating decimal into a rational number (fraction). Use the decimal 0.25 to provide an exa

forsale [732]

Terminating decimal
rmember that all numbers can be put over 1 and that is a fraction
ex
1/1=x
3/1=3
π/1=π

so therefor
0.25=0.25/1
if yo want to make the top number equal a whole number
multiply top and bottom by 100 to move 0.25 two decimal places to the right to make it ahwole number

0.25/1 times 100/100=25/100=1/4
answer is 1/4

steps:
1. find how many decimal placees the number goes to (ex. 0.25=2 places 0.2=1 place, 0.2345=4 places)
2. put the decimal over 1 (so if the decimal is x then do x/1)
3. find a fraction that is 10/10 such that the number of zeros one the top should be equal to the zeroes on the bottom, the number of zeros on the top should be equal to the number of decimal places from step 1
4. multiply the fraction (x/1) from step 2 by the fraction from step 3
5. simplify the resulting fraction

6 0

3 years ago

Select the quadratic equation that has roots x=8 and x=-5

stellarik [79]

Step-by-step explanation:

Since, x=8 and x=-5 are the roots.

Therefore, (x - 8) & (x - 5) will be factors.

Hence, required quadratic equation can be given as:

$(x - 8)(x - 5) =0 \\ \\ \therefore {x}^{2} + ( - 8 - 5) x+ ( - 8) \times ( - 5) = 0 \\ \\ \therefore {x}^{2} + ( - 13) x+ 40= 0 \\ \\ \huge \red{ \boxed{ \therefore {x}^{2} - 13x+ 40= 0 }} \\ is \: the \: required \: quadratic \: equation.$

5 0

3 years ago