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Dvinal [7]
3 years ago
10

Find the value of x. Round to the nearest tenth. Please Help Me!!!

Mathematics
2 answers:
amid [387]3 years ago
7 0

Answer:

4.1

Step-by-step explanation:

⇒The missing side of the triangle is 7.8 cm

We use Pythagoras theorem to solve x

a² = b² + c²

In this case, a = 7.8 cm and c = 8.8 cm

→ 7.8² = x² + 8.8²

( Rearrange )

→ x² = 8.8² - 7.8²

( Simplify )

→ x² = 77.44 - 60.84

( Simplify )

→ x² = 16.6

( Square root )

→ x = 4.074309757

levacccp [35]3 years ago
3 0

Answer:

x ≈ 4.1 cm

Step-by-step explanation:

The segment from the centre to the chord is a perpendicular bisector

The third side of the triangle = 14.6 ÷ 2 = 7.8

We now have a right triangle with legs x and 7.8 with hypotenuse 8.8

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 7.8² = 8.8²

x² + 60.84 = 77.44 ( subtract 60.84 from both sides )

x² = 16.6 ( take the square root of both sides )

x = \sqrt{16.6} ≈ 4.1 ( nearest tenth )

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A full load for a small truck to haul is 2/3 ton of gravel. The truck is hauling 1/2 ton of gravel. Write a division sentence th
Romashka [77]

Answer:

The truck is hauling 3/4 of a full load

Step-by-step explanation:

we know that

2/3 ton of gravel represent the 100% of a full load

Find out how much of a full load the truck is hauling with 1/2 ton of gravel, using proportion

Let

x ----> the percentage of a full load

\frac{(2/3)}{100\%}=\frac{(1/2)}{x}\\\\x=100\%(1/2)/(2/3)\\\\x=100\%(3/4)\\\\x=75\%

Convert to fraction number

75\%=\frac{75}{100}=\frac{3}{4}

therefore

The truck is hauling 3/4 of a full load

6 0
3 years ago
Pls answer A,B,and C. Pls tell me the correct answer for each part and explain how you got the answer.(step by step)
Nady [450]
A). The area of the shaded triangle is 64cm. This is because the formula for the area of a triangle is (b x h) / 2, and the base of this triangle is 16, and the height is 8. So, 16 x 8 is 128, and 128 / 2 = 64. The area is 64cm.
B). The area of each white triangle is 32cm because we can see that the two white triangles is equal to half of the shaded triangle, so we can take the base of the shaded triangle and divide it in two. Then we can use the formula for the area of a triangle and solve for the area: (b x h) / 2 = (8 x 8) / 2 = 32. The area of one of the white triangles is 32cm.
C). Since we have solved for the area of each of the triangles, we can add up all of these individual areas to get the area for the rectangle: White triangle + white triangle + shaded triangle = 32 + 32 + 64, which is equal to 128cm, the area of the rectangle.
4 0
3 years ago
NEED HELP ASAP!
Olegator [25]

Answer:

Option (C)

Step-by-step explanation:

Two statements given in the question are,

p: Memorial Day is in July

q: Parallel lines never intersect

We have to tell the represent the symbolic notation of the compound statement,

"Memorial Day is in July or parallel lines intersect"

Here word 'Or' is combining these statements.

We know word 'Or' means Disjunction which is denoted by the symbol (∨).

So the compound statement will be denoted by p ∨ q.

Option (C) will be the answer.

5 0
3 years ago
Write the following in simpler form.
gulaghasi [49]

Answer:

C. 2^(4 + 6) = 2^10.

Step-by-step explanation:

8^2 = (2^3)^2

= 2^6.

So 2^4 * 8^2

= 2^4 * 2^6

= 2^(4+6).

7 0
3 years ago
the first term of an arithmetic sequence is 3000 and the tenth term is 1200. the sum of the first 20 terms of the sequence
Kruka [31]

Step-by-step explanation:

B

1100

To find the sum of the first n terms of an arithmetic series use the formula,

S

n

=

2

n(a

1

+a

n

)

S

20

=

2

20(10+100)

S

20

=

2

2200

S

20

=1100

8 0
3 years ago
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