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sweet [91]
2 years ago
8

In right triangle DEF, ∠E is a right angle, m∠D=26∘, and DF=4.5.

Mathematics
1 answer:
SVEN [57.7K]2 years ago
7 0
The measurement of EF is EF=5.9
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You are making gift baskets. each basket will contain three different types of candles: tapers, pillars ad jar candles. tapers c
nikdorinn [45]
Let
x = the number of tapers (each coss $1)
y = the number of pillars (each costs $4)
z = the number of jars (each costs $6)

There are 8 candles in each basket, therefore
x + y + z = 8                   (1)

The cost per basket is $24, therefore
x + 4y + 6z = 24             (2)

The number of tapers equals the sum of pillars and jars, therefore
x = y + z                          (3)

Substitute (3) into (1) and into (2).
y + z + y + z = 8
2y + 2z = 8
y + z = 4                           (4)

y + z + 4y + 6z = 24
5y + 7z = 24                     (5)
From (4), y = 4 -z. Substitute into (5).
5(4 - z) + 7z = 24
2z + 20 = 24
2z = 4
z = 2
y = 4 - z = 4 - 2 = 2
x = y + z = 2 + 2 = 4

Answer: 4 tapers, 2 pillars, 2 jars.
4 0
3 years ago
Nate ordered several t-shirts for $7.90 each and paid $2 for shipping. If Nate spent a total of $160, how many t-shirts did he o
KatRina [158]

Answer:

20 Tshirts

Step-by-step explanation:

Tshirts = $7.90 each

Shipping = $2

Total amount = $160

Amount of tshirts bought = y

7.90y + 2 = 160

7.90y = 160 -2

7.90y = 158

Divide both sides by 7.9

y = 158÷7.9

y = 20

5 0
3 years ago
Candice knows it is made entirely from one metal. She is not sure if it is copper, silver or gold. Her bracelet has a mass of ap
Aleksandr [31]

Candice's bracelet is made from silver because the volume of her bracelet is; 1.72cm³

<h3>Density, Mass and Volume</h3>

By definition, the density of an object is the ratio of its mass per unit volume.

  • Density = Mass/Volume.

Hence, for silver;

  • 10.49 = 18/Volume.

  • Volume = 18/10.49

Volume = 1.72cm³.

Read more on Density;

brainly.com/question/6838128

8 0
2 years ago
13. A car travels at a speed of 55 km/h. Find the distance travelled by the car in 12minutes 30 seconds, giving your answer in m
Sedbober [7]

Answer:

11.46 meters

Step-by-step explanation:

12min 30sec = 12.5min

55km/h * 12.5min * 1h/60min = 11.4583333333meters

8 0
2 years ago
tim is choosing between two cell phone plans that same amount of free minutes. Cingular plane charges 39.99 per month with addit
VMariaS [17]

Answer:

100 minutes

Step-by-step explanation:

Let

x ----> the number of minutes

y ----> the total cost of the plan

we know that

<em>Cingular Plan</em>

y=0.45x+39.99 -----> equation A

<em>Verizon Plan</em>

y=0.40x+44.99 -----> equation B

To find out how many additional minutes will it take for the two plans to cost the same

Solve the system of equations A and B

Solve by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (100,84.99)

see the attached figure

therefore

For x=100 minutes

The cost for both plans is $84.99

3 0
3 years ago
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