Please may someone help me with this I have been stuck on it for so long

What is the length of the side a ?<br><br> A=

vodka [1.7K]

Answer:

$a = 5$

Step-by-step explanation:

Notice that $\triangle CDB$ is a right triangle where its hypotenuse is $\overline{CB}$ . We can also see that $a = CB$ . For this we must use the Pythagorean Theorem.

Recall:

The Pythagorean Theorem states that if you have a right triangle, the principal square root of the sum of the squares of each leg is the length the hypotenuse.

We can see that $CD = 3$ and $DB = 4$

$a = \sqrt{CD^2 +DB^2} \\ a = \sqrt{3^2 +4^2} \\ a = \sqrt{9 +16} \\ a = \sqrt{25} \\ a = 5$

7 0

2 years ago

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Please help me find the surface area:)

Vlad1618 [11]

Answer:

48 im 100 percent sure

7 0

2 years ago

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Felix has $1,000 in his savings account. He wants to purchase a motorcycle for $5,000. The seller has agreed to take a payment o

grigory [225]

Answer:

The system of equations is

(1) Amount balance to buy the motorcycle = Cost of motorcycle - Balance in savings

(2) Number of months Felix would need to make up the amount balance to buy the motorcycle = When Felix will have enough money to completely pay for his motorcycle

(3) Number of months Felix would need to make up the amount balance to buy the motorcycle = When Felix will have enough money to completely pay for his motorcycle

(4) The period it will take for Felix to have enough money to completely pay for his motorcycle is 8 months

Step-by-step explanation:

Here we have

Balance in savings = $1,000

Amount available to Felix each month = $500

Amount balance to buy the motorcycle = Cost of motorcycle - Balance in savings

= $5,000 - $1,000 = $4,000

Number of months Felix would need to make up the amount balance to buy the motorcycle = When Felix will have enough money to completely pay for his motorcycle

The above is given by

Number of months = Amount balance to buy the motorcycle ÷ Amount available to Felix each month

∴ Number of months = $4,000 ÷ $500 = 8 Months

That is Felix will have enough money to pay for his motorcycle in 8 months.

8 0

3 years ago

In triangle ABC, cos A =

nikitadnepr [17]

The other expression that has a value of $\frac{7}{25}$ is A) sin B.

Step-by-step explanation:

Step 1:

$sin\theta = \frac{oppositeside}{hypotenuse} ,$ $cos\theta = \frac{adjacentside}{hypotenuse} ,$ $tan \theta = \frac{opposite side}{adjacent side} .$

For angle B, the opposite side measures 7 units, the adjacent side measures 24 units and the hypotenuse measures 25 units.

$sinB= \frac{oppositeside}{hypotenuse} = \frac{7}{25} ,$ $tan B = \frac{opposite side}{adjacent side} = \frac{7}{24} ,$ $cosB = \frac{adjacentside}{hypotenuse} = \frac{24}{25}.$