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2 years ago

Find the measure of b. A. 80 B. 70 C. 40 D. 20

Mathematics

1 answer:

BlackZzzverrR [31]2 years ago

8 0

Answer:

40°

Step-by-step explanation:

e = 20°

d = 20°

c = 140°

b = 40°

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Simon has a certain length of fencing to enclose a rectangular area. The function A models the rectangle's area (in square meter

ss7ja [257]

Answer:

The maximum area is 1,600 square meters

Step-by-step explanation:

The complete question is

What is the maximum area possible?

The given function area is modeled by A(w)=-w(w-80)

we know that

The given function is a vertical parabola open downward

The vertex is a maximum

The x-coordinate of the vertex represent the width for the maximum area

The y-coordinate of the vertex represent the maximum area

Convert the quadratic function in vertex form

$A(w)=-w(w-80)\\\\A(w)=-w^{2}+80w$

Factor -1

$A(w)=-(w^{2}-80w)$

Complete the square

$A(w)=-(w^{2}-80w+1,600)+1,600$

Rewrite as perfect squares

$A(w)=-(w-40)^{2}+1,600$ ----> function in vertex form

The vertex is the point (40,1,600)

therefore

The maximum area is 1,600 square meters

8 0

2 years ago

Read 2 more answers

A store receives shipments of peaches and wants to sort them by weight. Drag each shipment to match the ratio of peaches to poun

Andrej [43]

Answer:

Step-by-step explanation:

Given that a store receives shipments of peaches. They want to sort them by weight.

The sorting pattern is as follows:

Peaches : Pound = 2:1 or 3.25:1 or 1:3.25

Given are i) 26 peaches to 13 lbs = 26:13=2:1 Hence goes to the first box

ii) 6 peaches to 19.5 lbs =6:19,5 = 1:3,25 lb. Hence goes to II box

iii) 13 peaches to 4 lbs: =13:4=3.25:1 Hence goes to II box

iv) 39 peaches to 12 lbs: =39:12=3.25:1 Hence goes to II box

v) 15 peaches to 7.5 lbs: =15:7.5=2:1 Hence goes to I box

i - I box

ii - II box

iii - II box

iv) - II box

v) - I box

8 0

2 years ago

Find the thirty-second term of the following sequence. 9, 15, 21, ... 186 199 195

olga nikolaevna [1]

The question can be answered using the arithmetic sequence formula: an = a1 + (n – 1)d.
d = 6
a1 = 9
n = 32
an = ?

an = 9 + (32-1)6
an = 9 + 31x6
an = 195

so, the 35th term is 195

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2 years ago

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Quadrilateral ABCD is translated down and left to form quadrilateral OLMN. If AB = 6 units, BC = 5 units, CD = 8 units, and AD =

Temka [501]

1. ABCD is shifted some units down, and then some othe units left.

2. The figure is just moved, not reflected, not diluted. So the distances are preserved

3. ABCD is translated to OLMN mean that AB has been translated to OL, so length of LO=OL=AB= 6 units

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2 years ago

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Now evaluate f(x) = 2x4 - 4x3-11x2+3x-6 for x=-2 f (-2) =

bija089 [108]

$f(x)=2x^4-4x^3-11x^2+3x-6\\\\f(-2)=2\cdot(-2)^4-4\cdot(-2)^3-11\cdot(-2)^2+3\cdot(-2)-6\\\\f(-2)=2\cdot16-4\cdot(-8)-11\cdot4+3\cdot(-2)-6\\\\f(-2)=32+32-44-6-6=8$

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2 years ago

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