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trapecia [35]
3 years ago
11

18z + 9y - 4z + 15 - 8 + y - 2​

Mathematics
1 answer:
Ahat [919]3 years ago
6 0

Answer:

14z+10y+13 please mark brainliest if satisfied

Step-by-step explanation:

Simplify:

14z+10y+13

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Two triangles have bases with lengths 5in and 8in.
Elis [28]

Answer:

i. The ratio of the areas of the two triangles is 5:8.

ii. The area of the larger triangle is 24 in².

Step-by-step explanation:

Let the area of the smaller triangle be represented by A_{1}, and that of the larger triangle by A_{2}.

Area of a triangle = \frac{1}{2} x b x h

Where; b is its base and h the height.

Thus,

a. The ratio of the area of the two triangles is:

\frac{area of the smaller triangle}{area of the larger triangle}

Area of smaller triangle = \frac{1}{2} x b x h

                                       = \frac{1}{2} x 5 x h

                                       = \frac{5}{2}h

Area of the lager triangle = \frac{1}{2} x b x h

                                           = \frac{1}{2} x 8 x h

                                           = 4h

So that;

Ratio = \frac{\frac{5}{2}h }{4h}

         = \frac{5}{8}

The ratio of the areas of the two triangles is 5:8.

b. If the area of the smaller triangle is 15 in², then the area of the larger triangle can be determined as;

\frac{area of the smaller triangle}{area of the larger triangle} = \frac{5}{8}

\frac{15}{A_{2} } = \frac{5}{8}

5 A_{2} = 15 x 8

       = 120

A_{2} = \frac{120}{5}

    = 24

The area of the larger triangle is 24 in².

         

7 0
3 years ago
You start at (-3, 0). You move right 3 units and down 5 units. Where do you end?
Evgen [1.6K]

Answer:

(0,-5)

Step-by-step explanation:

5 0
3 years ago
David earns $8.59 an hour. His benefits package is equal to 18 percent of his hourly wages. When you include the value of his be
user100 [1]

Answer:

David earns $10.14 per hour.

Step-by-step explanation:

David earns for an hour = $8.59

He gets benefits package that is equal to 18% of his hourly wages.

18% of 8.59

\frac{18}{100} × 8.59

= 0.18 × 8.59

= $1.5462 ≈ $1.55

David's per hour earning = $8.59 + $1.55 = $10.14

David earns $10.14 per hour.

8 0
3 years ago
Read 2 more answers
I need help working question 8. I don't understand how to start it
Lina20 [59]
Why don't you first try to use the cosine law to solve for an angle and then make use of the sin law to solve for the remaining angles.

Cosine law

C^2 = A^2 + B^2 - 2AB(cos C)
Solve for cos C, and then take the inverse of the trig ratio to solve for the angle.

Then set up a proportion like you have done using the sin law and solve for another angle. Knowing the sum of all angles in a triangle add up to 180 degrees, we can easily solve for the remaining angle.
8 0
3 years ago
(6+3)+21=6+(3+21) name each property of addition or multiplication
Anna007 [38]
(6 + 3) + 21 = 6 + (3 + 21)

It's an ASSOCIATIVE PROPERTY
(a + b) + c = a + (b + c)
7 0
3 years ago
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