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xxMikexx [17]
4 years ago
5

Use the table and diagram to answer this question. (I attached the picture)

Mathematics
1 answer:
iragen [17]4 years ago
3 0
We have a right triangle with two of the legs known (7 and 4). The hypotenuse is unknown. Because of this, we will use the tangent trigonometric function.

Tangent of an angle is equal to the ratio of the opposite and adjacent sides
tan(angle) = opposite/adjacent

Divide those two sides to get
opposite/adjacent = 7/4 = 1.75

Look through the table and see which value in the "tan(x)" column is closest to 1.75, and that happens to be 1.7321. It is in the bottom row corresponding to 60 degrees.

So the final answer is choice D) 60 degrees

Note: it turns out that the angle theta is roughly 60.2551187 degrees

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A cube has depth of 9 cm. What is the volume of the cube
Aliun [14]

Answer:

729

Step-by-step explanation:

Since this is a cube, all the dimensions would be the same. Since the depth of the cube is 9 cm, then the equation would be 9 x 9 x 9 = 729.

5 0
3 years ago
Read 2 more answers
In the figure ABCD is a parallelogram. P, Q, R and S are the midpoint of the sides of the parallelogram. Prove that PQ = RS and
mariarad [96]

Answer:

ΔRCQ = ΔAPS

QR = PS (CPCTC)

ΔSRD ≅ ΔQPB

PQ = RS (CPCTC)

Step-by-step explanation:

Given that ABCD is a parallelogram, we have;

AD = BC, and DC = AB (Definition of a parallelogram)

AD = AS + SD Given S is midpoint of AD

Similarly,

DC = DR + RC

BC = BQ + QC

AB = AP + PB

RC = DR = AP = PB

BQ = QC = QC = BQ  segments on either sides of midpoint

∠BCA = ∠DAB (opposite interior angles of a parallelogram)

ΔRQC ≅ ΔSPA

ΔRCQ = ΔAPS (Side Angle Side SAS rule of congruency)

Therefore, segment QR = segment PS (QR = PS) (Corresponding Parts of Congruent Triangles are Congruent CPCTC)

Similarly we have;

∠CDA = ∠CBA (opposite interior angles of a parallelogram)

ΔSRD ≅ ΔQPB (opposite interior angles of a parallelogram)

Therefore, segment PQ = segment RS (PQ = RS) (Corresponding Parts of Congruent Triangles are Congruent CPCTC).

5 0
3 years ago
A builder has an 5-acre plot divided into 1 2 -acre home sites. How many 1 2 -acre home sites are there? please answer soon
STALIN [3.7K]

Answer:

10

Step-by-step explanation:

5 divided by 1/2 is 10

3 0
3 years ago
What is the place value of 7 in the number 0.724?
ollegr [7]

Answer:

tenths

Step-by-step explanation:

_ _ . _ _

tens, units, then decimal, tenths, hundreaths.

3 0
3 years ago
How do u find the answer
Minchanka [31]
Pffff

the dependent variable is depending on the indepdent variable
the value of the depdendent variable depends on what the indepdentnt vairable is
the indepdent variable influcnces the value of the depdent variable

y=mx
x influences the value of y
the input influences the output
the input is the days (x)
output is y
x is indepdendent
y is depdent


answer is D
(btw, the equation listed is c=something so there is no y, there is a typo)
7 0
3 years ago
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