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3 years ago

Triangle ABC is a right triangle.

Mathematics

2 answers:

Andreas93 [3]3 years ago

6 0

Answer:

Step-by-step explanation:they are compimentary

mina [271]3 years ago

3 0

Answer:

They are complementary.

Step-by-step explanation:

we know that

The sum of the interior angles of a triangle must be equal to 180 degrees

A+B+C=180°

where

A,B and C are the measures of the interior angles of triangle

In a right triangle

The measure of angle C ( I assume that the right angle is C) is equal to 90 degrees

A+B+90°=180°

A+B=180°-90°

A+B=90°

Remember that

If two angles are complementary, then their sum is equal to 90 degrees

therefore

A and B are complementary angles

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Oblicz.Pamiętaj o kolejności wykonywania działań

SashulF [63]

Answer:

33.275

Step-by-step explanation:

1 step: Difference in brackets

$3.5-2\dfrac{1}{3}=3\dfrac{1}{2}-2\dfrac{1}{3}=(3-2)+\left(\dfrac{1}{2}-\dfrac{1}{3}\right)=1+\dfrac{3-2}{3\cdot 2}=1+\dfrac{1}{6}=1\dfrac{1}{6}$

2 step: $0.75\div\dfrac{1}{3}$

$0.75\div\dfrac{1}{3}=\dfrac{75}{100}\div \dfrac{1}{3}=\dfrac{3}{4}\times \dfrac{3}{1}=\dfrac{9}{4}$

3 step: $1.28\div 0.04$

$1.28\div 0.04=128\div 4=32 \ \text{Move point two decimal places}$

4 step:

$2\dfrac{1}{4}\times 1\dfrac{1}{6}=\dfrac{2\cdot 4+1}{4}\times \dfrac{1\cdot 6+1}{6}=\dfrac{9}{4}\times \dfrac{7}{6}=\dfrac{63}{24}=\dfrac{21}{8}$

5 step:

$\dfrac{9}{4}+32-\dfrac{21}{8}+1.65=(32+1.65)+\left(\dfrac{9}{4}-\dfrac{21}{8}\right)=33.65+\dfrac{9\cdot 2-21}{8}=33.65-\dfrac{3}{8}=33.65-0.375=33.275$

6 0

2 years ago

What is the value of f(3) when f(3) when f(x) = 4x+1

IgorLugansk [536]

Answer:

f(3) = 13

Step-by-step explanation:

f(x) = 4x+1

f(3) = 4(3) + 1

f(3) = 12 + 1

f(3) = 13

5 0

2 years ago

3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can vie

allsm [11]

Answer:

The building is 61.5 m tall

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

$\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 53^\circ=\frac{150-x}{h}$

$\displaystyle \tan 48^\circ=\frac{x}{h}$

From the last equation:

$x=h.\tan 48^\circ$

Substituting into the first equation:

$\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}$

Operating on the right side:

$\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ$

Rearranging:

$\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}$

Solving for h:

$\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}$

Calculating:

h = 61.5 m

The building is 61.5 m tall

5 0

3 years ago

Convert 42 km/h to m/s

Marta_Voda [28]

42 km/h is equal to 0.00724933 m/s

You get this by dividing the km/h speed value by 1.609 to get it to m/h, then divide that by 60, then by 60 again to get it to m/s.

5 0

3 years ago

Find ,H assuming the triangles formed are similar.

Murljashka [212]

Answer:

Step-by-step explanation:

if you divide 20 by 8, then you get 2.5. multiply that by six, and you get your answer.

6 0

3 years ago