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Marat540 [252]
3 years ago
12

Given the rhombus ABCD, find the area. Show all the work

Mathematics
1 answer:
dimaraw [331]3 years ago
6 0

Answer:

Step-by-step explanation:

Diagonal AC=6

Diagonal BD=8

area=(AC×BD)/2=(6×8)/2=24 sq. units

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To measure a stone face carved on the side of a​ mountain, two sightings 750 feet from the base of the mountain are taken. if th
Sergeeva-Olga [200]

Answer: 57.8512 feet (approx)

Step-by-step explanation:

Let h be the height of the stone face.

The angle of elevation from one sight to the bottom of face that is 750 feet far from the base of the mountain is 33°

⇒ The distance of the base of the stone face from the base of the mountain = 750\times tan 33^{\circ}=750\times 0.64940759319=487.055694898

The angle of elevation from another sight to the top of face is 36° that is also 750 feet away from the base of the mountain,

Therefore,

The distance of the top of the stone face from the base of the mountain  = (h + 487.055694898) feet

By the trigonometry,

\frac{h + 487.055694898}{750}=tan36^{\circ}

h + 487.055694898=0.726542528\times 750

h =544.906896004-487.055694898=57.8512011059\approx 57.8512

Therefore, the height of the stone face is 57.8512 feet (approx).



8 0
4 years ago
Do you see a correlation between the two columns? If so, state the relationship.
lora16 [44]
Most of them are +10 because for example 8+10 is 18
7 0
3 years ago
Find the arc length of a central angle of 300° in a circle whose radius is 2inches
Svetradugi [14.3K]
360 degrees is the whole circumference.
300 degrees is 300/360 of the circumference.
The circumference: pi*r*2 = 4*pi = approximately 12.566.
300/360*12.566=10.472 = answer
8 0
3 years ago
You’re given two side lengths of 3 centimeters and 5 centimeters. Which measurement can you use for the length of the third side
mrs_skeptik [129]

Answer:

You could use a measurement of 4 centimeters.

The valid range is  2  < x < 8  cms.

Step-by-step explanation:

The third side must either be less than 3+5, that is less than 8 cms and  it must be greater than (5-3) = 2 cms. If it is any other length we could not construct a triangle.

8 0
4 years ago
Solve 20x + 12 &gt; 14x + 30
astraxan [27]

Answer:

B. x>3

Step-by-step explanation:

20x + 12 > 14x + 30 import like terms to the same side of the equation

20x - 14x > 30 - 12

6x > 18 divide both sides by 6

x > 3

3 0
4 years ago
Read 2 more answers
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