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prisoha [69]
2 years ago
10

John made a small rectangular table for his workroom. If the sides of the table are 32 inches and 26 inches, what should the tab

le measure diagonally?
Mathematics
1 answer:
matrenka [14]2 years ago
6 0

Answer:

The table should measure diagonally about 41.23 inches.

Step-by-step explanation:

To find the diagonal of a rectangle we use the formula :

a^{2} + b^{2} = c^{2}

A and B both represent the side lengths of the rectangle, while C is the diagonal part. Knowing this formula, let's plug in the values for A and B and see what happens.

32^{2} + 26^{2} = c^{2}

1024 + 676 = c^{2}

1700 = c^{2}

The square root of 1700 is (rounded to the hundreth's place) = 41.23

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Find the surface area of the triangular prism. A triangular prism. The base is a right triangle with base 1 foot, height 2 feet
mylen [45]

Answer:

<h2>17.6ft²</h2>

Step-by-step explanation:

The formula for calculating the surface area of a triangular prism is expressed as shown below:

SA= bh + pH

b= base of the triangle

h- height of the triangle

p= perimeter of the triangle

H= height of the prism

Given b = 1foot

h = 2feet

perimeter of the triangle = sum of all its sides = 1ft + 2ft + 2.2ft

p = 5.2ft

H = 3ft

Substituting the values into the formula for finding the surface area:

SA = 1(2)+5.2(3)

SA = 2+15.6

SA = 17.6ft²

The surface area of the triangular prism is  17.6ft²

3 0
2 years ago
The minimum of the graph of a quadratic function is located at (-1,2) . the point (2,20) is also shown on the parabola . which f
Gekata [30.6K]
The complete question in the attached figure

we know that
the equation of a parabola is
y=a(x-h)²+k
where
(h,k) is the vertex   --------> (h,k)--------> (-1,2)
so
y=a(x+1)²+2

point (2,20)
for x=2
y=20
20=a(2+1)²+2--------> 20=a*9+2--------> 9*a=18---------> a=2

the equation of a parabola is
y=a(x+1)²+2-------> y=2(x+1)²+2

therefore

the answer is the option
<span>C) f(x) = 2(x + 1)2 + 2</span>

4 0
2 years ago
Read 2 more answers
A rectangle has a height of w^2+3w+9w 2 +3w+9w, squared, plus, 3, w, plus, 9 and a width of w^2+2w 2 +2w, squared, plus, 2. Expr
Keith_Richards [23]

Answer:

w⁴+5w³+17w²+24w +18

Step-by-step explanation:

Area of a rectangle = length * width

Given

Length  = w²+3w+9

width = w²+2w+2

Area of the rectangle = (w²+3w+9)(w²+2w+2)

Area of the rectangle = w²(w²) + 2w(w²) + 2w² + 3w(w²) + 3w(2w) + 2(3w)+9w²+9(2w)+9(2)

Area of the rectangle = w^4+2w^3+2w²+3w^3+6w^2+6w+9w²+18w+18

Collect the like terms;

Area of the rectangle = w^4+2w^3+3w^3+2w²+6w²+9w²+6w+18w+18

Area of the rectangle = w⁴+5w³+17w²+24w +18

Hence the area of the entire triangle is w⁴+5w³+17w²+24w +18

4 0
2 years ago
A sociologist recorded the estimated life expectancies of women born in Center City. Use the data from women born in 1970 and 20
ANEK [815]
Y = 0.213x – 352.0 <span> represents this linear model shown in the data table.
Plug in the values of x into the equation for a double check.
Let's try 1980.

</span><span>y = 0.213(1980) – 352.0
</span>y = 69.74
which is closest to the 70.1 whereas other options do not satisfy the condition. 
6 0
2 years ago
Read 2 more answers
In 2015, in Buffalo, New York, there were 8,625 arrests, 2,678 robberies, 865 assaults, and 20 murders. The population of Buffal
m_a_m_a [10]
I'm pretty sure simplest form would still be 865:2678
I could be wrong tho
6 0
2 years ago
Read 2 more answers
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