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maxonik [38]
3 years ago
14

Xis directly proportional to y.

Mathematics
1 answer:
OleMash [197]3 years ago
6 0
X = k x y
21 = k x 3
k = 7
x = 7y

x = 7(10)
x = 70
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What’s the angle of cda
Anastaziya [24]

Answer:

∠ CDA = 32.3°

Step-by-step explanation:

See the given figure attached to this answer.

Draw perpendiculars from B and C on AD which is BE and CF.

Now, Δ ABE is a right triangle and AE² = AB² - BE² = 7.5² - 6² = 20.25

⇒ AE = 4.5 cm

Now, DF = AD - EF - AE = 24 - 10 - 4.5 = 9.5 cm {Since BC = EF}

And CF = BE = 6 cm.

Now, Δ CFD is a right triangle and  

\tan \beta  =\frac{CF}{FD} = \frac{6}{9.5}  = 0.6315 {Where β = ∠ CDA}

⇒ \beta  = \tan^{-1} (0.6315)=32.27 Degree.

So, ∠ CDA = 32.3° {Correct to one decimal place} (Answer)

8 0
3 years ago
Estimate the products of 79 × 37 and 62 × 49 . Which choice shows the sum of the estimates?
klio [65]

Answer:

Sue of estimates = 6200

Step-by-step explanation:

79\times37 can be estimated as 80\times 40 which is =3200

Similarly 62\times49 can be estimated as 60\times 50 which is =3000

∴ Sum of estimates = 3200+3000=6200

4 0
3 years ago
A shere has a diameter of 24 units what is it’s volume in cubic units
Vika [28.1K]

Answer:

7238 rounded to the nearest whole number.

Step-by-step explanation:

To find the volume of the sphere, we use the formula.

v =  \frac{4}{3} \pi  {r}^{3}

The radius will be 24 units ÷ 2 = 12 units.

Hence, the volume is

\frac{4}{3} \pi \times  {12}^{3}

When entered in a calculator you'll get a result of 7238.23 cubic units in or 7238 rounded to the nearest whole number.

4 0
3 years ago
If EFH = (5x + 1)°, HFG = 62°, and EFG = (18x + 11)°, find EFH
olga55 [171]

Given:

Consider the below figure attached with this question.

∠EFH = (5x + 1)°, ∠HFG = 62°, and ∠EFG = (18x + 11)°

To find:

The measure of ∠EFH.

Solution:

From the figure it is clear that ∠EFG is divide in two parts ∠EFH and ∠HFG. So,

\angle EFG=\angle EFH+\angle HFG

18x+11=(5x+1)+(62)

18x+11=5x+63

Isolate variable terms.

18x-5x=63-11

13x=52

Divide both sides by 13.

x=\dfrac{52}{13}

x=4

The value of x is 4.

\angle EFH=(5x+1)^\circ

\angle EFH=(5(4)+1)^\circ

\angle EFH=(20+1)^\circ

\angle EFH=21^\circ

Therefore, the measure of ∠EFH is 21°.

8 0
3 years ago
Is 24/6 a integer, whole number, rational number
guapka [62]
Since 24/6 = 4. So 4 is a integer, rational number, and whole number
7 0
3 years ago
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