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marshall27 [118]
3 years ago
13

Use the triangle below and the given trigonometric ratio to determine which angle in the triangle below is

Mathematics
1 answer:
MrRa [10]3 years ago
7 0
Answer: Angle 2

The 7.5 cm side is opposite angle 2, so opposite = 7.5
The 18 cm side is adjacent to angle 2, so adjacent = 18

Therefore, tan(angle 2) = opposite/adjacent = 7.5/18
Replace "angle 2" with "A" and we have tan(A) = 7.5/18
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What is 2/5 divided by 5/7 in fraction form, not decimal
PIT_PIT [208]
Ok. In order to do this set up 2/5 divided by 5/7. The way you divide with fractions is by multiplying them but flipping the second fraction into 7/5 <---this is known as the reciprocal. In other words do:

2/5 x 7/5 =
14/25
There you go.
6 0
3 years ago
What is the lateral surface area of a cube with side length of 9 cm
Wittaler [7]
S^2 = one face of a cube
S^2 × 6 = entire Surface Area (SA) of cube
One face = 9^2 = 81 cm^2
SA = 81 × 6 = 486 cm^2
3 0
3 years ago
O is the centre of the circle, EF is a tangent, angle BCE = 28°, angle ACD = 31°
andriy [413]

Answer

a. 28˚

b. 76˚

c. 104˚

d. 56˚

Step-by-step explanation

Given,

∠BCE=28°  ∠ACD=31°  &  line AB=AC .

According To the Question,

  • a. the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment.(Alternate Segment Theorem) Thus, ∠BAC=28°

  • b. We Know The Sum Of All Angles in a triangle is 180˚, 180°-∠CAB(28°)=152° and ΔABC is an isosceles triangle, So 152°/2=76˚

        thus , ∠ABC=76° .

  • c. We know the Sum of all angles in a triangle is 180° and opposite angles in a cyclic quadrilateral(ABCD) add up to 180˚,

Thus, ∠ACD + ∠ACB = 31° + 76° ⇔ 107°

Now, ∠DCB + ∠DAB = 180°(Cyclic Quadrilateral opposite angle)

∠DAB = 180° - 107° ⇔ 73°

& We Know, ∠DAC+∠CAB=∠DAB ⇔ ∠DAC = 73° - 28° ⇔ 45°

Now, In Triangle ADC Sum of angles in a triangle is 180°

∠ADC = 180° - (31° + 45°)  ⇔  104˚

   

  • d. ∠COB = 28°×2 ⇔ 56˚ , because With the Same Arc(CB) The Angle at circumference are half of the angle at the centre  

For Diagram, Please Find in Attachment  

4 0
3 years ago
A man walks 20 km in 4hours. Find his speed
lianna [129]

Answer: 5km per hour

Step-by-step explanation:

You'd do 20/number of hours so you get 1 hour and you'll get his walking speed

7 0
3 years ago
Read 2 more answers
Lisa is 800 meters from the base of the mountain. From where she stands, she measures the angle of elevation to the peak of the
Llana [10]

Answer:

Lisa is  2581 m    from the peak of the mountain when she is standing at its base.

Step-by-step explanation:

7 0
3 years ago
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