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2 years ago

Angle C is 60 degrees and angle CAB is 78 we need to find angle DAB

Mathematics

1 answer:

ioda2 years ago

5 0

Answer:

∠ DAB = 48°

Step-by-step explanation:

The sum of the 3 angles in Δ ACD = 180° , then

∠ CAD + 60° + 90° = 180° , that is

∠ CAD + 150° = 180° ( subtract 150° from both sides )

∠ CAD = 30°

Then

∠ DAB + ∠ CAD = ∠ CAB

∠ DAB + 30° = 78° ( subtract 30° from both sides )

∠ DAB = 48°

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Answer:

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2 years ago

Are the set of all square numbers under 50 and the set of all triangular numbers that are less than 50 disjoint?

Alina [70]

Answer:

No, the two sets are not disjoint.

Step-by-step explanation:

Set of triangular numbers to 50: 1, 3, 6, 10, 15, 21, 28, 36, 45

Set of square numbers to 50: 1, 4, 9, 16, 25, 36, 49

They have 1 and 36 in common, so they are not disjoint, or in other words, they have some of the same numbers.

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3 years ago

The entrance fee to the national park is $15. The campsite fee is $25 per night.

lisabon 2012 [21]

Answer:

Step-by-step explanation:

a.) y = 25x + 15

b.) y is the total cost x is the amount of nights stayed 15 is the entrance fee and 25 is the cost per night

i.) x is the amount of nights stayed y is the total cost

ii.) slope (or m) is 25 y-intercept is 15

c.) plug in 3 for x

y = 25(3) + 15

y = 75 + 15

y = 90

its $90 for 3 nights

hope this helps <3

8 0

2 years ago

CAN SOMEONE HELP ME UNDERSTAND THIS PLEASE

ICE Princess25 [194]

YEAH OFC SHAWTY!

so for A its -4^11 because if the powers have the same base and they are being multiplied you add the powers

For B its the same idea, they have the same base, and are being multiplied so you add the powers- 13^9

For C its similar, you have the same base, but since its Dividing, you subtract the powers. So, 9^5
for D you pretend like the denominator has a power of 1 and subtract. So its -24^5-24^1 which hopefully puts it into perspective of being -24^4 becuase we subtracted the powers

I cant do 2 right now, but i will in a minute

<u>And for 3 his mistake is that they arent the same bases so he cant add the powers, he should have converted them to the same base first. </u>

7 0

3 years ago

Twelve hundred-thousandths is how much greater than twenty millionths

enot [183]

Answer:

the answer is 60 x 10^3 in scientific notation

Step-by-step explanation:

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3 years ago