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3 years ago

Marc is sending his sister a parcel through the post. the parcel weighs 2.451kg. round this to 1 decimal place

Mathematics

1 answer:

mestny [16]3 years ago

4 0

Answer:

2.5 kg

Step-by-step explanation:

2.451

Find the number in the tenth place 4 and look one place to the right for the rounding digit 5.

Round up if this number is greater than or equal to 5 and round down if it is less than 5.

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Find the missing angle measure. then classify the triangle by its angles and by its sides.

iren [92.7K]

Answer:

Part a) The measure of the missing angle is $90\°$

Part b) The triangle of the figure is a right triangle

Part c) The triangle of the figure is a scalene triangle

Step-by-step explanation:

we know that

The sum of the interior angles of a triangle is equal to $180\°$

Let

x------> the missing angle

we know that

$x\°+50\°+40\°=180\°$

solve for x

$x=180\°-90\°=90\°$

The triangle of the figure is a right triangle --------> by its angles

Because the triangle has an angle measure of $90\°$

The triangle of the figure is a scalene triangle --------> by its sides

Because the three angles and the three sides measures are different

8 0

3 years ago

Read 2 more answers

The side lengths of a 45-45-90 triangle are in the ratio 1 : 1: V2. What is tan 45°?

Artyom0805 [142]

Answer:

B. 1/2

Step-by-step explanation:

divide/

3 0

3 years ago

Who is good at math??

EleoNora [17]

B = 26in, c = 40in
a^2 = 26^2 + 40^2
= 2276 (square root it)
a = 2root569 // 47.7in

8 0

3 years ago

A quadrilateral has vertices at A(-5,5), B(1,8), C(4,2), and D(-2,-2). Use slope to determine if the quadrilateral is a rectangl

AysviL [449]

Answer:

The quadrilateral is not a rectangle

Step-by-step explanation:

we know that

If a quadrilateral ABCD is a rectangle

then

Opposite sides are congruent and parallel and adjacent sides are perpendicular

Remember that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

A(-5,5), B(1,8), C(4,2), and D(-2,-2)

Plot the figure to better understand the problem

see the attached figure

Find the slope of the four sides and then compare

step 1

Find slope AB

A(-5,5), B(1,8)

substitute in the formula

$m=\frac{8-5}{1+5}$

$m=\frac{3}{6}$

$m_A_B=\frac{1}{2}$

step 2

Find slope BC

B(1,8), C(4,2)

substitute in the formula

$m=\frac{2-8}{4-1}$

$m=\frac{-6}{3}$

$m_B_C=-2$

step 3

Find slope CD

C(4,2), and D(-2,-2)

substitute in the formula

$m=\frac{-2-2}{-2-4}$

$m=\frac{-4}{-6}$

$m_C_D=\frac{2}{3}$

step 4

Find slope AD

A(-5,5), D(-2,-2)

substitute in the formula

$m=\frac{-2-5}{-2+5}$

$m=\frac{-7}{3}$

$m_A_D=-\frac{7}{3}$

step 5

Verify if the opposites are parallel

Remember that

If two lines are parallel, then their slopes are the same

The opposite sides are

AB and CD

BC and AD

we have

$m_A_B=\frac{1}{2}$

$m_C_D=\frac{2}{3}$

$m_A_B \neq m_C_D$

It is not necessary to continue verifying, because two of the opposite sides are not parallel

therefore

The quadrilateral is not a rectangle

4 0

3 years ago

Tyrone and Terri both bought sofas with installment loans. Tyrone bought a sofa with a

Minchanka [31]

Answer:

Tyrone paid the higher markup rate.

Step-by-step explanation:

Tyrone and Terri both bought sofas with installment loans.

Tyrone bought his own with a sticker price of $1350 by paying $74 a month for 24 months. Therefore,

74 × 24 = $1776

The mark up = $1776 - $1350 = $426

Tyrone markup rate = 426/24 = $17.75 per month

Terri bought his own with sticker price of $950 by paying $52 a month for 24 months. Therefore,

52 × 24 = $1248

mark up = $1248 - $950 = $298

Terri markup rate = 298/24 = $12.4166666667 = $12.42 per month

6 0

3 years ago

Marc is sending his sister a parcel through the post. the parcel weighs 2.451kg. round this to 1 decimal place​

Marc is sending his sister a parcel through the post. the parcel weighs 2.451kg. round this to 1 decimal place