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jeka94
3 years ago
13

A brick of lead weighs 6,328 grams and has the following dimensions: length of 20 cm, height

Mathematics
1 answer:
miskamm [114]3 years ago
8 0

Answer:

11.3

Step-by-step explanation:

Volume: L * W * H

L = 20

W = 8

H = 35 mm = 35/10 = 3.5 cm

V = 20 * 8 * 3.5

V = 560 cm^3

Density = m/v

Density = 6328 / 560

Density = 11.3

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3 years ago
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What is the factor form of 2x^2-25=0 and -4x^2+81=0
scoray [572]

2x^2-25=0\\\\(x\sqrt2)^2=5^2=0\\\\(x\sqrt2-5)(x\sqrt2+5)=0\\-------------------------\\-4x^2+81=0\\\\81-4x^2=0\\\\9^2-(2x)^2=0\\\\(9-2x)(9+2x)=0\\------------------------\\Used:\\(a-b)(a+b)=a^2-b^2

8 0
3 years ago
PLEASE HELP ME I NEED TO DO THIS BEFORE I GO TO SLEEP AND I AM SOOO TIRED AND DO NOT UNDERSTAND HOW TO DO THIS.
nadya68 [22]
Ok so, here goes:
simple interest: r- rate, A- amount in the end, t- time, P- principal
<span>r = (1/t)(A/P - 1)
</span>Putting in our numbers
r = (1/4)((21236/5309) - 1) = 0.75
r = 0.75

Converting r decimal to R a percentage
R = 0.75 * 100 = 75%/year

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8 0
4 years ago
Find the area of the trapezoid. Leave your answer in simplest radical form.
sveticcg [70]

Answer:

64√3 ft²

Step-by-step explanation:

The short leg of the triangle has length (8 ft)(cos 60°), or (8 ft)(1/2), or 4 ft.

The long leg (represented by the dashed line) is (8 ft)(sin 60°), or

(8 ft)(√3/2), or 4√3.  This is also the width of the horizontal trapezoid.

The area of this horizontal trapezoid is:

      (sum of horizontal sides)

A = ------------------------------------- * (width)

                         2

Here, the area is:

      (18 ft + (18 ft - 4 ft)

= ------------------------------------- * (4√3)

                   2

    32 ft

= ----------- * 4√3  =  64√3 ft²

       2

5 0
3 years ago
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Alika [10]

Answer:

Size of groups known: First and last questions (The rice and cups ones)

Number of groups known: Second and third questions (Cars and hats)

Step-by-step explanation:

In the first problem, you know that one sack is one group, and it tells you that each sack weighs 3 kg. Therefore, you know the size of the group (or a sack).

In the last one, you know that a table is one group and each table fits 4 cups. So, you know that the size of the group is 4 cups.

In the second and third questions, you know that each group is a row (cars) or "equal group" (hat) and that there are 4 of each. So, you know that there are 4 of each group, meaning you know the "number of groups"

7 0
3 years ago
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