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3 years ago

6 and 7? Geometry homework

Mathematics

1 answer:

Rashid [163]3 years ago

4 0

Answer:

Step-by-step explanation:

6) triangle ABC is similar to triangle DEC. It means that

AB/DE = BC/EC = AC/DC

Therefore,

6/21 = 10/y

Cross multiplying, it becomes

6y = 210

y = 210/6

y = 35

Also

6/21 = x/28

Cross multiplying, it becomes

6 × 28 = 21x

21x = 168

x = 168/21

x = 8

7) triangle JKL is similar to triangle NMP. It means that

JK/NM = KL/MP = JL/NP

Therefore,

49/14 = (9x + 1)/(x + 5)

Cross multiplying, it becomes

49(x + 5) = 14(9x + 1)

49x + 245 = 126x + 14

126x - 49x = 245 - 14

77x = 231

x = 231/77

x = 3

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At Sunday’s Best Ice Cream in New Orleans, the price of Ice Cream was $4.00 for a large sundae. Due to the holidays, they are de

dimulka [17.4K]

the answer is $3.88

Step-by-step explanation:

because the ice cream was $4.00 and they subtracted it by 12% which would be $4.00 minus .12 which would give you $3.88

6 0

2 years ago

Could someone help? Thank you

frozen [14]

Answer:

See Below

Step-by-step explanation:

Thankfully, all the parts you need are given.

First, find the surface of one triangle

A = 1/2bh

A = 1/2(15)(9)

A = 1/2(135)

A = 67.5

Multiply by 4 to get the sum of all the sides.

67.5(4) = 270

Now find the surface area of one square

A = bh

A = (15)(15)

A = 225

multiply by 5 to get all 5 sides

225(5) = 1125

Add sums together

1125 + 270 = 1395

3 0

3 years ago

Simplify: 8.2c−0.9+(5.4−18d+7.2c)÷0.06

maxonik [38]

8.2c−0.9+(5.4−18d+7.2c)÷0.06 Distribute: =8.2c+−0.9+120c+−300d+90

 =(8.2c+120c)+(−300d)+(−0.9+90) =128.2c+−300d+89.1 Answer:=128.2c−300d+89.1

5 0

3 years ago

An alternating current E(t)=120sin(12t) has been running through a simple circuit for a long time. The circuit has an inductance

Dvinal [7]

Answer:

14.488 amperes

Step-by-step explanation:

The amplitude I of the current is given by

$\large I=\displaystyle\frac{E_m}{Z}$

where

$\large E_m$ = amplitude of the energy source E(t).

Z = Total impedance.

The amplitude of the energy source is 120, the maximum value of E(t)

The total impedance is given by

$\large Z=\sqrt{R^2+(X_L-X_C)^2}$

where

R= Resistance

L = Inductance

C = Capacitance

w = Angular frequency

$\large X_L=wL$ = inductive reactance

$\large X_C=\displaystyle\frac{1}{wC}$ = capacitive reactance

As E(t) = 120sin(12t), the angular frequency w=12

$\large X_L=12*0.37=4.44\\\\X_C=1/(12*7)=0.012$

and

$\large Z=\sqrt{7^2+(4.44-0.012)^2}=8.283$

Finally

$\large I=\displaystyle\frac{E_m}{Z}=\frac{120}{8.283}=14.488\;amperes$

7 0

3 years ago

To clarify, the problem is that in order to get their bonus they had to get 75% of a 25% increase in members since 2016. The num

zhannawk [14.2K]

Answer:

The increase in membership is 11898 and percent increase in membership is 11.247%.

The bonus will not be awarded.

Step-by-step explanation:

Consider the provided information.

Part (A) Determine the increase in membership and percent increase in membership.

The number of members in 2016 is 105788 and the number in 2017 is 117,686.

That means the number of members increases are:

117,686-105,788=11,898

This can be calculated as:

$\frac{11898}{105788} \times 100 = 11.247\%$

Hence, the increase in membership is 11898 and percent increase in membership is 11.247%.

Part (B) Determine the percentage of the 25% increase in membership and then decide if the bonus should be awarded.

The 25% increase in membership can be drawn as:

$\frac{25}{100} \times 105788=26447$

That means 26447 new members should increase.

105788+26447=132235

Hence, there should be 132,255 members in 2017 so that they increase by 25%.

Hence, the bonus will not be awarded as the number of members in 2017 are 117,686.

4 0

3 years ago