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Answer:
AC = 8 cm,
AD = 3 cm and ∠ACB = ∠CDA
From figure,
∠CDA = 90°
∴ ∠ACB = ∠CDA = 90°
In right angled ∆ADC,
AC2 = AD2 + CD2
⇒ (8)2 = (3)2 + (CD)2
CD2 = 64 – 9 = 55
⇒ CD = √55 cm
In ∆CDB and ADC.
∠BDC = ∠AD [each 90°]
∠DBC = ∠DCA [each equal to 90°-∠A]
∴ ∠CDB ∼ ∆ADC
Then,
Answer:
(-1,-4) is the vertex
x = -1 is the equation of symmetry;
Step-by-step explanation:
See attached image.
Answer:
C, 3 1/2, 3 19/20, 3 39/40
Step-by-step explanation:
to make this a bit easier, we can put the mixed numbers into improper fractions:
3 39/40 becomes 159/40
3 19/20 becomes 79/20
3 1/2 becomes 7/2
comparing them to each other, we see they have unlike denominators. we need to get the denominators alike so we can compare them easier
the fractions all have a common denominator of 40, so we need to multiply each fraction by a number that gives us a denominator of 40
159/40 is already fine
79/20 needs to be multiplied by 2 to get a denominator of 40
79/20 x 2 = 158/40
7/2 needs to be multiplied by 20 to get a denominator of 40
7/2 x 20 = 140/40
from least to greatest, we have the following:
140/40, 158/40, 159/40
in their original form this would be:
3 1/2, 3 19/20, 3 39/40
the answer would be C
By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 12 in. long and 10 in. wide, find the dimensions of the box that will yield the maximum volume. (Round your answers to two decimal places.)
in (smallest value)
in
in (largest value)
