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dimaraw [331]
3 years ago
12

Solve.

Mathematics
1 answer:
Aloiza [94]3 years ago
8 0

Step-by-step explanation:

x=−y−2z+3

x=y+32z+1

x=13y+23z+13

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Please help worth 25 points
wariber [46]

Answer:

h=6 feet

Step-by-step explanation:

Given: 1. The base of a rectangle is three feet longer than its height.

2.Are of the rectangle=54 square meters

Let us say the rectangle has height h and base(breadth) b.

Since, the base of the rectangle is three feet longer than the height, we have b=h+3.

Also, Area of the Rectangle= hb

therefore, 54=h(h+3)

54= h2+ 3h

h2+3h-54=0 (Subtract 54 from both the sides)

To find the value of h we have to solve the quadratic equation.

[We have the equation in the form ax2+bx+c=0, to factorise the equation-

Step1. Find two numbers such that their multiplication is equal to ac and their addition is equal to b.

Step2. Replace b with these numbers.

Step3. Simplify the equation]

So, h2+3h-54=0

h2+9h-6h-54=0

h(h+9)-6(h+9)=0

(h+9)(h-6)=0

Which gives-

h= -9 or h= 6

As h is the height of the rectangle, h can not be -9.

so h=6 feet

and b=h+3=9 feet

So the dimensions of the rectangle are 6 feet for the height and 9 feet for the base.

5 0
2 years ago
Find the value of the function when n = 7. p = 0.006n
timama [110]
P=0.042

So the answer should be b.
6 0
3 years ago
NEED HELP ASAPInstructions: Find the length of the missing sides. Round your answers to the
Pie

Answer:

x = 9.4

y = 17.7

Step-by-step explanation:

Given: The figure

Required: Find x and y

The relationship between length x, length 15 and angle 32 is as follows:

tan \theta = \frac{opp}{adj}

So, we have:

tan\ 32= \frac{x}{15}

Cross multiply:

x =15*tan\ 32

x = 15 * 0.6248693519

x = 9.3730402785

x = 9.4 --- approximated

Similarly:

The relationship between length y, length 15 and angle 32 is as follows:

cos \theta = \frac{adj}{hyp}

So, we have:

cos\ 32= \frac{15}{y}

Cross Multiply:

y * cos\ 32= 15

Solve for y

y = \frac{15}{cos\ 32}

y = \frac{15}{0.84804809615}

y = 17.6876760506

y = 17.7 --- approximated

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2 years ago
Madeline is saving up to buy a new jacket. She already has $40 and can save an
Vesna [10]
I trust those links^
3 0
2 years ago
Write the amount as a fraction of a dollar, as a decimal, and as a money amount.
sergey [27]
6/10
0.6
60 cents

17/100
0.17
17 cents

49/100
0.49
49 cents

92/100
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92 cents
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Read 2 more answers
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