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vivado [14]
3 years ago
5

Help omggg help omgg

Mathematics
1 answer:
kenny6666 [7]3 years ago
4 0

Answer:

Θ = 84°

Step-by-step explanation:

using the identity

cosx = sin(90 - x) , then

cos6° = sin(90 - 6)° = sin84°

that is Θ = 84°

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In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AB=9, and AC=12, find HC.
pickupchik [31]

Answer:

Step-by-step explanation:

It is given that in △ABC, ∠ABC=90°, BH is an altitude and AB=9 and AC=12, thus using the Pythagoras theorem in △ABC, we get

(AC)^{2}=(AB)^{2}+(BC)^{2}

(12)^{2}=(9)^2+(BC)^2

144=81+(BC)^2

(BC)^2=63

BC=\sqrt{63}

Now, From ΔABC and ΔHBC, we have

∠ABC=∠BHC(each90)

∠ACB=∠HCB (Common)

By AA similarity, ΔABC is similar to ΔHBC.

Thus, using the similarity condition, we get

\frac{HC}{BC}=\frac{BC}{AC}

\frac{HC}{\sqrt{63}}=\frac{\sqrt{63}}{12}

HC=\frac{63}{12}=\frac{21}{4}

7 0
3 years ago
The ratio of the number of red cards to the number of black cards in a deck is 3:10
Tresset [83]

Answer:

Then the black cards=12

Step-by-step explanation:

N of red=3

N of black=10

and we have ratio 3:10

think when we ⇒ add 2 to red, will be 5:10= 1:2 not equal to 1:3

                   ⇒add 1 to red and 1 to black, the ratio will be 4:11 not equal to 1:3

                   ⇒add 2 to black, the ratio will be 3:12 = 1:3

Then the black cards=12

hope this helps!

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