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3 years ago

Express the verbal expression as an algebraic expression. Four less than eight times the sum of a number and seven.

Mathematics

1 answer:

OlgaM077 [116]3 years ago

5 0

Answer:

let the number be x then

(x+7)8-4

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Find the reference angle for a rotation of 347º.

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If you mean the name of the angle then it's a reflex angle

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Functions h and k are inverse functions, and both are defined for all real numbers using this relationship, what is the value of

mestny [16]

Answer:

(h o k)(3) = 3

(k o h)(-4b) = -4b

Step-by-step explanation:

If f(x) and g(x) are inverses, then (f o g)(x) = (g o f)(x) = x

(h o k)(3) = 3

(k o h)(-4b) = -4b

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3 years ago

A painter is using a 8-foot ladder to paint a house. The painter places the ladder 6 feet from the house. How high up the wall d

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Step-by-step explanation:

step 1. This is a right triangle where a^2 + b^2 = c^2 (c is the hypotenuse).

step 2. a^2 + 6^2 = 8^2.

step 3. a^2 = 64 - 36.

step 4. a^2 = 28.

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step 6. sqrt(28) = 2(sqrt(7)).

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3 years ago

In parallelogram ABCD, AB = 16 cm, DA = 3<img src="https://tex.z-dn.net/?f=%5Csqrt%7B2%7D" id="TexFormula1" title="\sqrt{2}" alt

Murljashka [212]

Answer:

length of segment YZ is 8 cm

Step-by-step explanation:

given data

AB = 16 cm

DA = 3 $\sqrt{2}$ cm

AB and DA form interior angle = 45-degre

WX ≠ YZ

WX = 16 cm

to find out

length of segment YZ

solution

area of △ABD is the same as the area of △BCD

and

area of △ABD is express as

area of △ABD = AB × AD × sin(45) ÷ 2 ............1

put here value

area of △ABD = 16 × 3√2 × sin(45) ÷ 2

area of △ABD = 24

and

area of the parallelogram is

area of the parallelogram = 24 × 2

area of the parallelogram = 48

now we will consider here YZ = x

and Since ZY XW is isosceles trapezoid

so here we can say that

WM = ZM = (16 - x) ÷ 2 .......................2

so area of trapezoid will be

area of trapezoid = $\frac{ZY + WX }{2} \times ZM$ .......................3

area of trapezoid = $\frac{x+16}{2} \times \frac{16 - x}{2}$

48 = $\frac{x+16}{2} \times \frac{16 - x}{2}$

solve it we get

x = 8

so length of segment YZ is 8 cm

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