Answer:
$63.20
Step-by-step explanation:
first we have to find how much the sweater is marked down in money. we do this by converting the percentage to decimal form and multiply by the original price.
79•0.2= 15.8
so the sweater is marked down $15.80. now we subtract that markdown from the original price to find the new price
$79-$15.8= $63.20
hope this helps chu <3
Answer:
a. 6 feet
b. The length of the angle bisector of angle A is approximately 7.81 feet
Step-by-step explanation:
a. The given parameters of the right triangle ABC are;
The length of the leg AC = 5 ft.
The length of the hypotenuse AB = 13 ft.
Therefore, the length of the side BC = √((AB)² - (AC)²) = √((13 ft.²) - (5 ft.²)) = 12 ft.
The length to the middle of the side BC = BC/2 = (12 ft.)/2 = 6 ft.
b. The length of the angle bisector of angle A = The the length of the median from A to the side BC = √((BC)/2)² + (AC)²)
BC = √(((12 ft.)/2)² + (5 ft.)²) = √61 ft. ≈ 7.81 ft.
Answer:
<h2>C.
cos theta = √5/3 and
tan theta = 2/√5</h2><h2>
D. sec theta = 3/√5 and
tan theta =
2/√5</h2>
Step-by-step explanation:
According to SOH in SOH, CAH TOA;
SOH means sin theta = opposite/hypotenuse = 2/3
This shows that opposite = 2 and hypotenuse = 3. Before we can determine which of the expression is possible, we need to find the third side of the rigt angled triangle which is the adjacent.
According to Pythagoras theorem; hyp² = opp²+adj²
adj² = hyp² - opp²
adj² = 3² - 2²
adj² = 9 - 4
adj² = 5
adj = √5
Hence the adjacent side is √5.
From the trigonometry identity above;
cos theta = adj/hyp = √5/3 and tan theta = opp/adj = 2/√5
Since sec theta = 1/cos theta then sec theta = 1/(adj/hyp)
sec theta = hyp/adj = 3/√5
<em>From the above calculation, the following are possible:</em>
<em>cos theta = √5/3, tan theta = 2/√5 and sec theta = 3/√5</em>
<em></em>
The correct options are C and D
There are five whole numbers between 1 and 150 that have exactly 3 different factors. Whole numbers between 1 and 150 with exactly 3 different factors must be the square numbers whose square roots are prime.
To find the complete list begin counting...
skip 1, not prime;
2 is prime and 2 squared is 4;
3 is prime and 3 squared is 9;
skip 4 b/c it is not prime;
5 is prime and 5 squared is 25;
6 not prime;
7 prime and 7 squared is 49;
8 not prime;
10 not prime;
11 prime and squared is 121;
12 is not prime;
13 prime, but squared it is greater than 150.
The complete list is 4, 9, 25, 49, and 121. 4 has 1, 2, 4;
9 has 1, 3, 9;
25 has 1, 5, 25 ;
49 has 1, 7, 49 ;
121 has 1, 11, 121.
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