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3 years ago

Please help with this question. Thank you.

Mathematics

1 answer:

podryga [215]3 years ago

5 0

Answer:

t = 4

Step-by-step explanation:

Substitute the variables with the information provided.

205 = 100 + 12(6) + 5(t) + 7(4) + 5(5) - 8(5)

Simplify

205 = 100 + 72 + 5t + 28 + 25 - 40

20 = 5t

t = 4

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A cone with volume 246 ft cubic if the height is 15 find the radius

Liula [17]

Answer:

r = 3.95 ft

Step-by-step explanation:

Volume of cone = $\frac{1}{3} \pi r^{2} h$ = 246 ft³

246 = $\frac{1}{3} * \frac{22}{7} * r^2 * 15$

r² = $\frac{246*3*7}{22*15*5}$

r = $\sqrt{15.65}$

r = 3.95 ft

8 0

2 years ago

Can someone please help me with this asap ... Please and thank you

OLga [1]

Answer:

Step-by-step explanation:

From the question given in the picture,

a). Since, NR bisects a straight angle ∠MNP,

∠MNR ≅ ∠PNR

m∠MNR + m∠PNR = 180°

2(m∠MNR) = 180°

m∠MNR = 90°

Therefore, ∠MNR and ∠PNR are the right angles.

Since, QN divides ∠MNR in two parts,

Therefore, ∠QNR will be an acute angle (less than 90°).

∠MNR + ∠SNR = ∠MNS

90° + ∠SNR = ∠MNS

Therefore, m∠MNS will be more than 90°.

∠MNS will be an obtuse angle (greater than 90°).

(b). Since, NR divides ∠MNP and ∠QNS,

∠MNR ≅ ∠PNR

∠QNR ≅ ∠SNR

∠MNQ ≅ ∠PNS

(c). m∠MNR = 90°

Since, NR bisects ∠QNS,

∠QNR ≅ ∠RNS

m∠QNR = m∠RNS = 30°

m∠QNR + m∠RNS = 30° + 30°

m∠QNR + m∠RNS = 60°

m∠QNS = 60° [Since, m∠QNS = m∠QNR + m∠RNS]

m∠QNP = m∠QNS + m∠SNP

m∠QNP = m∠QNS + (m∠PNR - m∠SNR)

m∠QNP = 60° + (90° - 30°) = 120°

4 0

2 years ago

Ross chose a card at random from a deck of 52 cards. Ross replaced the card and then chose a second card. What is the probabilit

DaniilM [7]

Answer:

$\frac{1}{208}$

Step-by-step explanation:

We have been given that Ross chose a card at random from a deck of 52 cards. Ross replaced the card and then chose a second card.

Let us find probability of getting a club.

$\text{ Probability of getting a club}=\frac{13}{52} =\frac{1}{4}$

Now let us find probability of getting the ace of spades.

$\text{ Probability of getting ace of spades}=\frac{1}{52}$

Now let us multiply these to find probability of getting a club and ace of spades.

$\text{ Probability of getting a club and then ace of spades}=\frac{1}{4}*\frac{1}{52}=\frac{1}{208}$

Therefore, probability of getting a club and then the ace of spades $\frac{1}{208}$ .

8 0

3 years ago

a florist is told that 40% of the 350 flowers ordered must be red roses how many roses must be in the order

Nina [5.8K]

Answer:

140 because half which is (%50) of 350 is 175 so 40% of 350 is 140

7 0

2 years ago

Find the length of the third side. If necessary, round to the nearest tenth. 10 14

abruzzese [7]

Answer:

9.8 units

Explanation:

According to Pythagoras theorem, the square of length of the hypotenuse is equal to the sum of squares of lengths of other two sides.

Let the third side be x units.

Then,

x² + 10² = 14²

=> x² + 100 = 196

=> x² = 196 - 100

=> x² = 96

=> x = √96

=> x = 4√6

=> x = 9.79....

=> x = 9.8 (Rounding to the nearest tenths)

So, the length of the third side is 9.8 units.

5 0

2 years ago