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3 years ago

8

Grace has 2,640 beads to put on the bracelets she is making. It takes 48 beads to make each bracelet. How many bracelets can Gra

ce make

2 answers:

MAXImum [283]3 years ago

4 0

Answer:

Grade can make 55 bracelets

Step-by-step explanation:

2640/48 = 55

mel-nik [20]3 years ago

4 0

Answer:

55

Step-by-step explanation:

2640 divided by 48

the answer is 55

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The 6th term of a gp is -2/29,and it's first term is 18.what is the common ratio

Ymorist [56]

Answer:

-0.329

Step-by-step explanation:

The formula for Geometric ratio is

an = ar^n - 1

Where

a = First term = 18

r = Common ratio = ?

n = Number of term= 6

Hence

a6 = 18 × r^6-1

From the question

a6 = -2/29

Hence:

-2/29 = 18 × r^6-1

-2/29 = 18 × r⁵

Divide both sides by 18

-2/29 ÷ 18 = 18 × r⁵/18

-2/29 × 1/18 = r⁵

r⁵ = -1/261

Take the fifth root of both sides

⁵√(r⁵) = ⁵√(-1/261)

r = -0.3286032834

Approximately = -0.329

Therefore, Common ratio = -0.329

7 0

3 years ago

Justify the congruence between each of the following pairs of triangle.

Fantom [35]

Answer:

Refer to the attachment for the labelling of the triangles.

In △ABC & △PQR,

∠A = ∠R (equal pair of angles)

∠B = ∠Q (equal pair of angles)

AC = PR (equal pair of sides)

•°• △ABC ≅ △RQP (Angle-Angle-Side congruence property → AAS property)

Hope it helps ⚜

5 0

3 years ago

The number line between 0 and 1 is partitioned into 6 equal pieces. What fraction of the whole is each piece?

lapo4ka [179]

0 to 1...partitioned into 6 equal pieces.....1/6 is each piece

8 0

3 years ago

1/a^2-3a+2 + 1/a^2-5a+6 + 2/a^2-8a+15

Inessa [10]

Answer:

$\frac{4+16a^3+23a^3}{a^2}$

Step-by-step explanation:

Given

$1/a^2-3a+2 + 1/a^2-5a+6 + 2/a^2-8a+15$

Required

Simplify

$1/a^2-3a+2 + 1/a^2-5a+6 + 2/a^2-8a+15$

Collect Like Terms

$1/a^2 + 1/a^2 + 2/a^2-3a-5a-8a+2+6+15$

$1/a^2 + 1/a^2 + 2/a^2-16a+23$

Add Fractions:

$\frac{1+1+2}{a^2} + 16a + 23$

$\frac{4}{a^2} + 16a + 23$

This can be further expressed as:

$\frac{4+16a^3+23a^3}{a^2}$

4 0

3 years ago

Triangle ABC is an isosceles triangle in which side

Shkiper50 [21]

Answer:

Option B.

Step-by-step explanation:

Consider the below figure attached with this question.

It is given that triangle ABC is an isosceles triangle.

From the below figure it is clear that the vertices of triangle are A(-2,-4), B(2,-1) and C(3,-4).

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using this formula, we get

$AB=\sqrt{(2-(-2))^2+(-1-(-4))^2}=\sqrt{16+9}=5$

$BC=\sqrt{(3-2)^2+(-4-(-1))^2}=\sqrt{1+9}=\sqrt{10}$

$AC=\sqrt{(3-(-2))^2+(-4-(-4))^2}=\sqrt{25}=5$

Now,

Perimeter of triangle ABC = AB + BC + AC

$=5+\sqrt{10}+5$

$=10+\sqrt{10}$

So, perimeter of triangle ABC is $10+\sqrt{10}$ units.

Therefore, the correct option is B.

4 0

3 years ago

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