Expresión for the calculation 5 times the number 25 and then subtract the quotient of 14 and 7

The formula for the area of a rhombus is A = a equals StartFraction one-half EndFraction d 1 d 2.d1d2, where d1 and d2 are the l

Strike441 [17]

Answer:

$\large\boxed{d_1=\dfrac{2A}{d_2};\ d_2=\dfrac{2A}{d_1}}$

Step-by-step explanation:

$A=\dfrac{1}{2}d_1d_2\qquad\text{multiply both sides by 2}\\\\2A=2\!\!\!\!\diagup\cdot\dfrac{1}{2\!\!\!\!\diagup}d_1d_2\\\\2A=d_1d_2\to d_1d_2=2A$

$\text{For}\ d_1:\\\\d_1d_2=2A\qquad\text{divide both sides by}\ d_2\neq0\\\\d_1=\dfrac{2A}{d_2}\\\\\text{For}\ d_2:\\\\d_1d_2=2A\qquad\text{divide both sides by}\ d_1\neq0\\\\d_2=\dfrac{2A}{d_1}$

4 0

2 years ago

Read 2 more answers

The following are questions from a self-quiz.According to some study, the height for Northern European adult males is normally d

lara [203]

Answer:

a) 0.064

b) 0.109

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 181 centimeter

Standard Deviation, σ = 7.3 centimeter

We are given that the distribution of height for Northern European adult males is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(person is between 160 and 170 centimeters)

$P(160 \leq x \leq 170) = P(\displaystyle\frac{160 - 181}{7.3} \leq z \leq \displaystyle\frac{170-181}{7.3}) = P(-2.8767 \leq z \leq -1.506)\\\\= P(z \leq -1.506) - P(z < -2.8767)\\= 0.066 -0.002 = 0.064 = 6.4\%$

b) P(person is higher than 190 centimeter)

P(x > 190)

$P( x > 190) = P( z > \displaystyle\frac{190 - 181}{7.3}) = P(z > 1.2328)$

$= 1 - P(z \leq 1.2328)$

Calculation the value from standard normal z table, we have,

$P(x > 190) = 1 - 0.891 = 0.109 = 10.9\%$

7 0

2 years ago

An aircraft carrier can travel 450 km in the same time a container ship travels 300 km. If the aircraft carrier was travelling 5

Leto [7]

Answer:

10 km/hr

Step-by-step explanation:

The aircraft carrier and the container ship both took 30 hours to travel their respective distances. If you divide both numbers by 30, you find that their differences is 5. We can tell that the aircraft carrier traveled 450 ÷ 30 = 15 km/hr and the container ship traveled at a speed of 300 ÷ 30 = 10 km/hr. The aircraft carrier traveled 5 km/hr faster. So, we can tell the container ship traveled at 10 km/hr.

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6 0

2 years ago

Zenaida is shopping and wants to purchase a $320 stereo system. The store is offering an incentive of 10 to 30 percent off when

lesantik [10]

The stereo system costs $256.

Step-by-step explanation:

Given:

Cost of the stereo system = $320.

The discount Zenaida received = 20%.

To Find:

Cost of the stereo system after the discount=?