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choli [55]
3 years ago
8

If the acute angles in a right triangle are in the ratio of 5:4 find the measure of the smallest angle

Mathematics
1 answer:
deff fn [24]3 years ago
6 0
Let's create this right triangle.  We will call it triangle ABC with angle B as the right angle, angle A being the larger of the angles A and C.  If the ratio is 5:4, then it is A:C.  5+4 = 9.  The measure of the right angle, angle ABC = 90, and 90 divided by 9 is 10.  So angle A is 5 * 10 which is 50 degrees, and angle C is 4 * 10 which is 40 degrees.  The smallest angle, angle C, is 40 degrees.
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Susan runs 22 km in 2 hours and 45 minutes. What is her average speed in km an hour? Explain your answer please!
Tpy6a [65]

Answer:

22km= 2 hours and 45 mins

To find speed: Distance/Time

22/2.75 = 8

Your answer 8km/h

Step-by-step explanation: When finding speed, the formula is always distance divided by time. 45 minutes of 60 minutes is 3/4 of an hour, and 3/4 is 0.75 is decimal. So you add the 2 + .75, and you'll get 2.75. After you convert the time, you begin dividing and you'll get your answer!

4 0
3 years ago
2(48)+2(8w)+2(6w)=208 please explain
babymother [125]

Answer:

w=4

Step-by-step explanation:

2(48)+2(8w)+2(6w)=208

1) Start by Distributing the value outside of the parenthesis:

96+16w+12w=208

2) Combine alike terms:

96+28w=208

3) Subtract 96 from both sides:

28w=112

4)Divide both sides by 28 to isolate w:

w=4

Let me know if you do not understand :)

4 0
3 years ago
Help plz !!!!!!!!!!!!!!!!! These are so hard
OlgaM077 [116]

Answer:

m=\frac{4}{9}

Step-by-step explanation:

Using the slope formula:

m=\frac{1+7}{10+8}=\frac{8}{18}=\frac{4}{9}

6 0
3 years ago
For what values of x does 25× - 5ײ-3?
dusya [7]

Answer:

X = 3, -1; B

Step-by-step explanation:

Use log properties, log 5 on both sides, log 5 of 25 is 2 that times the exponent, so 2*x = 2x, and on the other side, log 5 and base of 5  cancels. So 2x = x^2 -3, which can be solved using factoring:

x^2 -2x -3 = (x-3)(x+1) = 0, x=3,-1

4 0
2 years ago
A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain p
marusya05 [52]

Answer:

33.33%

Step-by-step explanation:

We need to calculate the <u>unit selling price and cost of each cosmetics.</u>

If a person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen., then for 1 cosmetics, we will say;

x = 1 cosmetic

since 360 = 12 cosmetic

cross multiply

12x = 360

x = 360/12

x = 30

Hence the unit cost price of the cosmetics will be Rs. 30

Similarly, if he sells it at Rs 80 a pair, then he sold one cosmetic at 80/2 = Rs. 40 (a pair is 2 cosmetics)

Selling price per unit = Rs. 40

Cost price per unit = Rs. 30

percent gain = SP-CP/CP * 100%

percent gain = 40-30/30 * 100

percent gain = 10/30 * 100

percent gain = 100/3

percent gain = 33.33%

Hence the percentage gain is 33.33%

5 0
3 years ago
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