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Mekhanik [1.2K]

2 years ago

8

112Calculate and simplify as much as possible theperimeter and area of the largest figure. All four-sided figures are rectangles

.9Perimeter =рArea =

1 answer:

tino4ka555 [31]2 years ago

4 0

SOLUTION:

Step 1:

In this question, we are meant to solve the following:

Step 2:

The perimeter of the largest figure is:

$\begin{gathered} Length\text{ + Width + Length + Width} \\ =\text{ ( 12 + p ) + q + ( 12 + p ) + q} \\ =\text{ 24 + 2p + 2q} \\ =\text{ 24 + 2 ( p + q)} \end{gathered}$

On the other hand, the area of the largest figure is:

$\begin{gathered} \text{Length x Width} \\ =\text{ ( 12 + p ) x q} \\ =\text{ ( 12 + p )q} \end{gathered}$

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Candlelight Books kept a record of how its sales increased based on

zavuch27 [327]

Answer:

D

Step-by-step explanation:

We need to understand the meaning of slope. The slope means the rate of change of y with every unit change of x.

<em>In our case, it will be rate of change of sales increase (%) with respect to unit change of discount(%).</em>

<em />

The formula for slope is the change in y divided by change in x.

From the 2 points given, we can say that slope is:

$\frac{62-32}{20-10}=\frac{30}{10}=\frac{3}{1}$

<em>This means "as discount increases 1%, sales increase by 3%". Option D is right.</em>

7 0

3 years ago

Can someone please answer the bottom question. I really need help. Be sure to explain because I have no idea what I’m doing

V125BC [204]

Answer:

See below.

Step-by-step explanation:

RSTV is a quadrilateral. We see that segments RV and RS are congruent. We also see that segments TV and TS are congruent. That makes quadrilateral RSTV a kite. A kite is a quadrilateral that has one set of congruent adjacent sides and a second set of congruent adjacent sides. One set of congruent adjacent sides may or may not be congruent to the second set of congruent adjacent sides. In this case they are not.

The diagonals of a kite are perpendicular which is shown in your figure with segment VS perpendicular to segment RT. The diagonals form 4 right triangles. The 4 right triangles are VRW, SRW, VTW, and STW.

Triangles VRW and SRW are congruent.

Triangles VTW and STW are congruent.

Let's work on the angles first.

Let's work on triangle VTW.

Angle VWT is a right angle.

m<VWT = 90

m<WVT = 42

m<VWT + m<VTW + m<WVT = 180

90 + 42 + m<WVT = 180

m<WVT + 132 = 180

m<WVT = 48

Triangle SWR is a right triangle.

m<RWS + m<RSW + m<SRW = 180

90 + m<RSW + 21 = 180

m<RSW + 111 = 180

m<RSW = 69

Triangles WVR and WSR are congruent with corresponding angles WVR and WSR.

m<WVR = m<WSR = 69

m<TVR = m<WVT + m<WVR

m<TVR = 48 + 69 = 117

m<TVR = 117

Now we deal with sides.

Let's look at triangle VWT.

Side VT is the hypotenuse.

m<VTW = 42 deg

VT = 15

For angle VTW, VW is the opposite leg, and VT is the hypotenuse.

The trig ratio that relates the opposite leg and the hypotenuse is the sine.

$\sin \angle A = \dfrac{opp}{hyp}$

$\sin \angle VTW = \dfrac{VW}{VT}$

$\sin 42^\circ = \dfrac{VW}{15}$

$VW = 15 \sin 42^\circ$

VW = 10

Since triangles RVW and RSW are congruent, corresponding sides VW and SW are congruent.

SW = VW = 10

Trianlge RSW is a right triangle with right angle RWS.

For angle WRS, SW is the opposite leg. RW is the adjacent leg.

$\tan A = \dfrac{opp}{adj}$

$\tan \angle WRS = \dfrac{SW}{RW}$

$\tan 21^\circ = \dfrac{10}{RW}$

$RW \tan 21^\circ = 10$

$RW = \dfrac{10}{\tan 21^\circ}$

RW = 26

We now know VW and RW. Using the Pythagorean theorem we can find RV.

(RW)^2 + (VW)^2 = (RV)^2

26^2 + 10^2 = (RV)^2

RV = 28

Perimeter:

Triangles RVT and RST are congruent, so we have:

RV = RS = 28

VT = ST = 15

perimeter = RS + RV + VT + ST

perimeter = 28 + 28 + 15 + 15

perimeter = 86

5 0

3 years ago

If x = 2 and y = 14 , evaluate the following expression: x y Give your answer as a fraction in its simplest form.

LiRa [457]

Answer:

1/7

Step-by-step explanation:

x/y

Plug in the values.

(2)/(14)

Simplify.

1/7

5 0

3 years ago

Read 2 more answers

Can someone please help me?

EleoNora [17]

This will go -7/2,-2.1, square root of 9, 3.5,last will be square root of 5

3 0

4 years ago

Mason loves collecting sea glass from the beach. He recorded the weight of each jar full of sea glass. If he decided to distribu

lara31 [8.8K]

<em>The missing weights are:</em>

<em>2 2 2 1 11 12 12 2 24 22 24 3 37 22</em>

Answer:

$Average = 12\frac{4}{7} \ lb$

Step-by-step explanation:

Given

Weight of sea glass

To solve this question, we have to calculate the mean of the weight of the sea glass as follows;

$Average = \frac{\sum x}{n}$

Where n = number of sea glass

$n = 14$

So:

$Average = \frac{\sum x}{n}$ becomes

$Average = \frac{2 +2 + 2 + 1 + 11 +12 +12 +2 +24+22 +24 +3 +37+ 22}{14}$

$Average = \frac{176}{14}$

$Average = 12\frac{8}{14}$

Simplify fraction

$Average = 12\frac{4}{7}$

<em>Hence; the weight of the sea glass would be </em> $12\frac{4}{7}\ lb$ <em> </em><em>when evenly distributed...</em>

4 0

3 years ago