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3 years ago

In ΔABC, m∠CAB = 60° and

2 answers:

6 0

The answer is 4 feet.
Draw a line segment from D perpendicular to AC and intersect AC at F.
triangle ADF is a right triangle, with angle AFD=90, Angle DAF=half of BAC=30
in a 30-60-90 triangle, the shortest side is half of the hypotenuse. the hypotenuse AD=8, so DF=4
Draw a line segment perpendicular from D to AB and intercept AB at E.
DE is also 4 feet, same as above.

Debora [2.8K]3 years ago

5 0

Answer:

The answer is 4 and 4 feet feet

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Daniela invested a total of $50,000, some in a certificate of deposit (CD) and the remainder in bonds. The amount invested in bo

LekaFEV [45]

Answer:

The amount invested in bonds = 35,000

The amount invested in CD = 15,000.

Step-by-step explanation:

The total amount that Daniela invested is $50,000, this means if we call the amount invested in bonds $b$ , and the amount invested in CD $d$ , then we have:

$b+d=50,000$ this says the total amount Daniela invested is $50,000.

And since the amount invested in bonds $b$ is $5,000 more than twice the amount Daniela put into the CD, we have:

$b=5,000+2d$ .

Thus, we have two equations and two unknowns $b$ and $d$ :

(1). $b+d=50,000$

(2). $b=5,000+2d$ ,

and we solve this system by substituting $b$ from the second equation into the first:

$b+d=50,000\\5,000+2d+d=50,000\\3d=45,000\\\\\boxed{d=15,000}$

or, the amount invested in CD is $15,000.

With the value of $d$ in hand, we now solve for $b$ from equation(2):

$b=5,000+2d\\b=5000+2(15,000)\\\boxed{b=35,000}$

or, the amount invested in bonds is $35,000.

4 0

3 years ago

Read 2 more answers

Determine whether the system of equations has no solution, one solution, or infinitely many solutions

Vinil7 [7]

Answer:

one solution

Step-by-step explanation:

y=-3x+5

y=1/2x-2

You can tell straight off the bat, it does have a solution, and it isn't infinite solutions. If it had no solution, it would have the same slope but different y-intercepts. If it had infinite solutions, the 2 equations would have to be the exact same. So there is only one solution.

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hope it helps

4 0

3 years ago

Ryan eats 4 chocolate cream cookies per day. If an equation were written to show the total number of cookies Ryan has eaten afte

skad [1K]

B because you already know number of cookies eaten, you dont know if the total was 12 cookies because you dont know how many days so, if you dont know how many days then y would be the number of days... Good Luck

8 0

3 years ago

By what factor is the volume of a right square pyramid multiplied if its height is multiplied by 8 but the dimensions of its bas

xeze [42]

We have that
the volume of a right square pyramid ---------- > (1/3)b²h

Let
V1------------ > initial volume
V1=(1/3)b²h

<span>if its height is multiplied by 8
</span>
V2=(1/3)b²(8h)-------------- > V2=V1*8

therefore

the answer is the option D

the factor is is 8

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2 years ago

Given the right triangle below, if AB = 12 and BC = 5, find AC.

jolli1 [7]

Answer:

The Answer Is On The Image

Step-by-step explanation:

Thanks.............

8 0

2 years ago

Read 2 more answers