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2 years ago

What is the value of x? Enter your answer, as a decimal, in the box. ? cm

Mathematics

1 answer:

Dima020 [189]2 years ago

7 0

Answer:

The value is 50.6cm

Step-by-step explanation:

In order to find this , set up a proportion. Use the smaller part of the triangle on top, and the corresponding part of the larger on bottom.

32.2/46.2 = x/72.6

Now cross multiply to solve

72.6*32.2 = 46.2*x

2337.72 = 46.2x

50.6 = x

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This is a subtraction expression.o evaluate, substitute 29 for the variable in the expression.to<span>evaluate the expression, subtract 31 from 29.</span>

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3 years ago

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How many multiples of three are between 10 and 787 and show work pls

SOVA2 [1]

787-10=777
777/3=259

259 multiples of 3

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3 years ago

Javier has four cylindrical models. The heights, radii, and diagonals of the vertical cross-sections of the models are shown in

Ronch [10]

The model in which the lateral surface meets the base at right angle is : Model 1.

<h3>What is a lateral surface?</h3>

The lateral surface of an object is all surfaces of that object excluding its base and top.

Analysis:

To know the exact model, we check for the models in which their dimensions form a Pythagorean triplet otherwise a right-angled triangle.

For Pythagorean triplet, the square of the diagonal must be equal to the sum of squares of the other two sides.

Model 1

Diagonal = 50cm, radius = 14cm, lateral height = 48cm

$(50)^{2}$ = $(14)^{2}$ + $(48)^{2}$

2500 = 196 + 2304

2500 = 2500. Forms Pythagorean triplet

Model 2

Diagonal= 37cm, radius = 6cm lateral height = 35cm

$(37)^{2}$ = $(35)^{2}$ + $(6)^{2}$

1369 = 1225 +36

1369 $\neq$ 1261

Model 3

Diagonal = 60cm, radius = 20cm lateral height = 40cm

$(60)^{2}$ = $(20)^{2}$ + $(40)^{2}$

3600 = 400 + 1600

3600 $\neq$ 2000

Model 4

Diagonal = 30cm, radius = 24cm, lateral height = 9cm

$(30)^{2}$ = $(24)^{2}$ + $(9)^{2}$

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900 $\neq$ 657

Therefore the lateral surface model 1 meets the base at right angle

In conclusion, the lateral surface of model 1 meets the base at right angles as the dimensions form a right-angled triangle.

Learn more about Pythagorean triplet: brainly.com/question/20894813

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1 year ago

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A line with a slope of 0 passes through the point (6, 16). What is its equation in slope-intercept form?

satela [25.4K]

Answer:

y = 0x + 16

Step-by-step explanation:

Slope of line m = 0

$(6,\:16)=(x_1,\:y_1)$

Equation of line in slope point slope form is given as:

$y-y_1 = m(x-x_1) \\\\\therefore y - 16 = 0(x - 6)\\\\\therefore y - 16 = 0x - 0\\\\\therefore y = 0x + 16\\\\$

This is the required equation in slope intercept form.

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2 years ago

John and Tyrone each go for a morning jog before work. John's jogging pace

hram777 [196]

Answer:

Tyrone's rate is 1 more mile per hour than John's

Step-by-step explanation:

Given

$y = 5x$ --- John number of jog

See attachment of Tyrone's number of jog

Required

Select the true option

From the attached graph, we have:

$(x_1,y_1) = (0,0)$

$(x_2,y_2) = (2,12)$

Calculate the slope (m); i.e. unit rate

$m = \frac{y_2 - y_1}{x_2 -x_1}$

$m = \frac{12 - 0}{2 -0}$

$m = \frac{12}{2}$

$m = 6$

For John, we have:

$y = 5x$

A linear equation is represented as:

$y = mx+ c$

Where m represents the unit rate. So, by comparison;

$m = 5$

$m = 5$ --- John unit rate

$m = 6$ --- Tyrone unit rate

<em>Option B is correct because Tyrone's rate is 1 more mile per hour than John's</em>

<em>i.e. 6 - 5 = 1</em>

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3 years ago