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3 years ago

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Mathematics

2 answers:

STatiana [176]3 years ago

6 0

Answer:

84.3%

Step-by-step explanation:

You first find the frequency. You do this by multiplying the frequency density by the class length.

VashaNatasha [74]3 years ago

4 0

Answer:70.8

Step-by-step explanation:

Add up all the values in each 5 seconds up to 30, and divide by sum of all 50 seconds of frequency density and times by 100

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Find the x-intercept and the y-intercept from the following linear equation: 5x + 2y = 20

liraira [26]

Answer: x-intercept is (4,0) and the y-intercept is (0,10)

Step-by-step explanation:

7 0

3 years ago

The following picture is a square pyramid where DE=8 cm and m∠ADE=60°.

Goryan [66]

Given:

The length of DE is 8 cm and the measure of ∠ADE is 60°.

We need to determine the surface area of the pyramid.

Length of AD:

The length of AD is given by

$cos 60^{\circ}=\frac{FD}{8}$

$4=FD$

Length of AD = 8 cm

Slant height:

The slant height EF can be determined using the trigonometric ratio.

Thus, we have;

$sin \ 60^{\circ}=\frac{EF}{8}$

$sin \ 60^{\circ} \times 8=EF$

$\frac{\sqrt{3}}{2} \times 8=EF$

$4\sqrt{3}=EF$

Thus, the slant height EF is 4√3

Surface area of the square pyramid:

The surface area of the square pyramid can be determined using the formula,

$SA=Area \ of \ square + \frac{1}{2} (Perimeter \ of \ base ) (slant \ height)$

Substituting the values, we have;

$SA=8^2+\frac{1}{2}(8+8+8+8)(4 \sqrt{3})$

$SA=64+\frac{1}{2}(32)(4 \sqrt{3})$

$SA=64+(16)(4 \sqrt{3})$

$SA=64+64 \sqrt{3}$

The exact form of the area of the square pyramid is $64+64 \sqrt{3}$

Substituting √3 = 1.732 in the above expression, we have;

$SA = 64 + 110.848$

$SA = 174.848$

Rounding off to one decimal place, we get;

$SA = 174.8$

Thus, the area of the square pyramid is 174.8 cm²

7 0

3 years ago

Read 2 more answers

What is the coefficient of q in the sum of these two expressions?

Nana76 [90]

Answer:

the two coefficients are 2/3 and -1/6

the sum of the expressions are = 1 /2 q−r+ −3 /4

Step-by-step explanation:

6 0

3 years ago

21. what are the excluded values of the function? y= 5/6x-72

tatiyna

you have to calculate the SID number and then take it upon yourself and divided X it's actual number and then there's a chance and the answer would be c.72

4 0

3 years ago

Each Saturday the gym holds 45 minute yoga classes. The weekday yoga classes last 30 minutes. The number of weekday classes vari

yanalaym [24]

For this case we have that the total minutes spent in yoga classes last week was 165.

Subtracting the 45 minutes of the Saturday day we have:

$165-45 = 120$

Those 120 minutes were distributed in the weekly yoga classes

where each lasted 30 minutes.

$\frac {120} {30} = 4$

So, 4 week yoga classes were held

ANswer:

4 week yoga classes were held

6 0

3 years ago