Find the missing value and please show how

Mathematics

2 answers:

tekilochka [14]3 years ago

8 0

Answer:

Step-by-step explanation:

∠YUV = 29 + 62 {Exterior angle property}

= 91

Exterior angle property : Exterior angle equal the sum of opposite interior angles.

Lady bird [3.3K]3 years ago

6 0

91 hopes this help brainless

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A box has a volume of 546cm3 and a surface area of 422cm2. What are the Length, Width and Height?

Klio2033 [76]

We know that the formula for the volume of a box is:

$V =lwh$

Where:
l = length
w = width
h = height

The formula of the surface area of a box is:
$SA=2(lw+lh+wh)$

Based on the given we know the following:
$546cm^{3} =lwh$

and

$422cm^{2}=2(lw+lh+wh)$

If we factor out the given volume, you can come up with 3 numbers that will satisfy the surface area formula:

$546=6*7*13$

Let:
l = 6cm
w = 7cm
h = 13cm

Now let's try this on the surface area formula:
$422cm^{2}=2(lw+lh+wh)$
$422cm^{2}=2((6cm*7cm)+(6cm*13cm)+(7cm*13cm))$
$422cm^{2}=2(42cm^{2}+79cm^{2}+91cm^{2})$
$422cm^{2}=2(211cm^{2})$
$422cm^{2}=422cm^{2}$

The answer is then:
l = 6cm
w = 7cm
h = 13cm

Any order would be fine.

4 0

3 years ago

Rewrite the following equation in logarithmic form.

zloy xaker [14]

Answer:

log2(0.25) = -2

512 = 8^3

Step-by-step explanation:

Use of formula: loga (b) = c ⇔ b = a^c

Rewrite the following equation in logarithmic form. 0.25 = 2^-2

log2(0.25) = -2

Rewrite the following equation in exponential form. log8 (512) = 3

512 = 8^3

3 0

3 years ago

Find the value of 7 + 32 (-5 + 1) ÷ 2. A. 25 B. 32 C. -11

kobusy [5.1K]

Answer:

as written, -57
as perhaps intended, C. -11

Step-by-step explanation:

The expression shown evaluates as ...

7 + 32(-5 +1)/2 = 7 +32(-4)/2 = 7 -128/2 = 7 -64 = -57

_____

If we assume your "32" is supposed to be 3², or 3^2, then the expression evaluates differently:

7 +3²(-5 +1)/2 = 7 + 9(-4)/2 = 7 -36/2 = 7 -18 = -11 . . . . matches choice C

_____

When in doubt, you can have the Google calculator evaluate your expression. However, you do have to write it properly and with all the required parentheses.