The wording of this problem indicates that there was an illustration. Could you possibly share that illustration?
Working without an illustration:
If tan theta = 3, then tan theta = opp/adj = 3/1. This tells us that the opp side is 3 times as long as is the adj. side. Let x be the shorter side, i. e., let x represent the adjacent side; then y is the longer side and represents the opposite side.
Then y = 3x (the opp side is 3x the adj side in length).
Applying the Pyth. Thm. a^2 + b^2 = c^2,
x^2 + (3x)^2 = hyp^2 = (25 cm.)^2
So x^2 + 9x^2 = (625 cm^2)
10x^2 = 625 cm^2, or x^2 = (625 cm^2) / 10 = 62.5 cm^2
x = 7.91 cm. Therefore, y = 3(7.91) = 23.72 cm.
We were supposed to round off these answers to the nearest 10th cm.
Therefore, x = 7.9 cm and y = 23.7 cm
Would that be A, B, C or D?
<span>✡ </span>Answer: 75; 100-25-5 ✡
- - To solve this you are going to subtract.
Because you are taking away apples, in this case eating them
- - So: 100-20-5
Answer: 75
✡Hope this helps!<span>✡</span>
If your surveys are the following:
A. A survey of 110 teachers showed that 28 of them have a second job.
<span>B. A survey of 90 teachers showed that 27 of them have a second job. </span>
<span>C. A survey of 70 teachers showed that 21 of them have a second job. </span>
<span>D. A survey of 80 teachers showed that 32 of them have a second job.
</span>
Then the answer is B and C
Answer:
Measure of ∠BCP is 36°
Step-by-step explanation:
Given the circle in which measure of arc BC is 72°
we have to find the measure of angle BCP.
m∠BOC=∠2=72°
By theorem angle subtended at the centre is twice the angle formed at the circumference of circle.
∴ ∠2=2∠1 ⇒ 72=2∠1
⇒ ∠1=36°
By alternate segment theorem which states that
The angle formed between a chord and a tangent through one of the end points of chord is equals to angle in alternate segment.
⇒ ∠3=∠1=36°
Hence, measure of ∠BCP is 36°
Option D is correct
Answer:
m∠N = 51°
m∠M = 31°
m∠O = 98°
Step-by-step explanation:
It is given that ΔMNO is an isosceles triangle with base NM.
m∠N = (4x + 7)° and m∠M = (2x + 29)°
By the property of an isosceles triangle,
Two legs of an isosceles triangle are equal in measure.
ON ≅ OM
And angles opposite to these equal sides measure the same.
m∠N = m∠M
(4x + 7) = (2x + 29)
4x - 2x = 29 - 7
2x = 22
x = 11
m∠N = (4x + 7)° = 51°
m∠M = (2x + 9)° = 31°
m∠O = 180° - (m∠N + m∠M)
= 180° - (51° + 31°)
= 180° - 82°
= 98°
