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2 years ago

Write the product in its simplest form: -263. (-6°)

Mathematics

2 answers:

Gnoma [55]2 years ago

4 0

Answer:

3•1÷6

Step-by-step explanation:

son4ous [18]2 years ago

3 0

Answer:

-263

Step-by-step explanation:

Anything to the power of 0 equals 1

Hence -263 * (1)

= -263

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Mr. Phillips is mixing paint for his art class. How many 6-ounce bottles can he fill with the quantities of paint shown at the r

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2 years ago

Alex bought a new easy chair for $399. She bought it on the '12 months is the same as cash' plan. The contract stated that if no

jek_recluse [69]

Answer:

$ 454.86 : $33.25

Step-by-step explanation:

Alex bought the new easy chair for $ 399 .

If she pays the amount in 13th month. So, she has to pay the interest of 1 month too , which is, = $ $\frac {399 \times 14}{100}$

= $ 55.86

So, total amount she has to pay for the chair,

= (cost price of the chair + interest)

= $ (399 + 55.86)

= $ 454.86 (answer)

If she wants to pay the amount within the 12 months, so that she doesn't have to pay the interest, her budget for that for each month will be ,

$ $\frac {399}{12}$

= $ 33. 25 (answer)

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2 years ago

The keyless entry system in some cars uses a 4-digit keypad. There are 10 possible digits, and the digits can be repeated. How m

Len [333]

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n = 10 x 10 x 10 x 10
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8 0

2 years ago

Read 2 more answers

Marty is asked to draw triangles with side lengths of 4 units and 2 units, and a non-included angle of 30°. Select all the trian

777dan777 [17]

Answer:

The drawn in the attached figure

see the explanation

Step-by-step explanation:

First case

In the triangle ABC

Let

$a=4\ units\\b=2/ units\\B=30^o$

Applying the law of sines

Find the measure of angle A

$\frac{a}{sin(A)}=\frac{b}{sin(B)}$

substitute the given values

$\frac{4}{sin(A)}=\frac{2}{sin(30^o)}$

$sin(A)=1$

$A=90^o$

Find the measure of angle C

In a right triangle

we know that

$B+C=90^o$ ----> by complementary angles

$B=30^o$

therefore

$C=60^o$

Find the length side c

Applying the law of sines

$\frac{c}{sin(C)}=\frac{b}{sin(B)}$

substitute the given values

$\frac{c}{sin(60^o)}=\frac{2}{sin(30^o)}$

$c=2\sqrt{3}\ units$

therefore

The dimensions of the triangle are

$A=90^o$

$B=30^o$

$C=60^o$

$a=4\ units\\b=2\ units\\c=2\sqrt{3}=3.46\ units$

Second case

In the triangle ABC

Let

$a=4\ units\\b=2/ units\\A=30^o$

Applying the law of sines

Find the measure of angle B

$\frac{a}{sin(A)}=\frac{b}{sin(B)}$

substitute the given values

$\frac{4}{sin(30^o)}=\frac{2}{sin(B)}$

$sin(B)=0.25$

using a calculator

$B=14.48^o$

Find the measure of angle C

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

$A+B+C=180^o$

$A=30^o\\B=14.48^o$

therefore

$30^o+14.48^o+C=180^o$

$C=135.52^o$

Find the length side c

Applying the law of sines

$\frac{c}{sin(C)}=\frac{a}{sin(A)}$

substitute the given values

$\frac{c}{sin(135.52^o)}=\frac{4}{sin(30^o)}$

$c=5.61\ units$

therefore

The dimensions of the triangle are

$A=30^o$

$B=14.48^o$

$C=135.52^o$

$a=4\ units\\b=2\ units\\c=5.61\ units$

see the attached figure to better understand the problem

4 0

2 years ago

Circle A and circle B are congruent. CD is a chord of both circles. If AB = 8 ft and CD = 6 ft, how long is a radius?

bazaltina [42]

Let us say that the intersection point of lines AB and CD is called point E. The lines AB and CD are perpendicular to each other which also means that the triangle CEB is a right triangle.

Where the line CB is the radius of the circle while the side lengths are half of the whole line segment:

EB = 0.5 AB = 0.5 (8 ft) = 4 ft

CE = 0.5 CD = 0.5 (6 ft) = 3 ft

Now using the hypotenuse formula since the triangle is right triangle, we can find for the radius or line CB:

CB^2 = EB^2 + CE^2

CB^2 = (4 ft)^2 + (3 ft)^2

CB^2 = 16 ft^2 + 9 ft^2

CB^2 = 25 ft^2

CB = 5 ft = radius

7 0

2 years ago