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2 years ago

Ms adams shares out 33 pencils between niamh and jack in the ratio 4 : 7

Mathematics

2 answers:

Ivenika [448]2 years ago

4 0

Final answer—- Niamh gets 12 pencils
Jack gets 21 pencils

Sophie [7]2 years ago

4 0

Answer:

Final answer—- Niamh gets 12 pencils

Jack gets 21 pencils

Step-by-step explanation:

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⚠️Attention ⚠️HELPPPPPP!!!!!

german

Answer:

it would be B.

Step-by-step explanation:

6 0

3 years ago

Determine the greatest common factor of 15xy^7z and 30x^2y^7z

yawa3891 [41]

Answer:

$15x {y}^{7} z$

Step-by-step explanation:

<h3>Factorize the Expressions</h3>

$15x {y}^{2} z = 3 \times 5 \times x \times y \times y \times y \times y \times y \times y \times y \times z$

$30 {x}^{2} {y}^{7} z = 2 \times 3 \times 5 \times x \times x \times y \times y \times y \times y \times y \times y \times y \times z$

<h3>Factor out the Common Factors</h3>

$gcf = 3 \times 5 \times x \times y \times y \times y \times y \times y \times y \times y \times z$

<h3>Multiply the Common Factors</h3>

$3 \times 5 \times x \times y \times y \times y \times y \times y \times y \times y \times z = 15x {y}^{7} z$

The Factored expressions are

$15x {y}^{7} z$

And

$15x {y}^{7} (2x)$

5 0

4 years ago

Jamar and Peggy live on opposite sides of a park. Peggy counted how many steps it takes her to get from her house to Jamar's hou

creativ13 [48]

Answer:

A.96.25 steps. B. Approximately 37 steps shorter

Step-by-step explanation:

From Pythagoras theory,

Hyp² = Adj² + Opp²

Hyp² = 52² + 81²

Hyp² = 2704 + 6561

Hyp² = 9265

Hyp = √9265

Hyp = 96.25 steps

= 81 + 52 = 133 - 96.25

= 36.75 or approximately 37 steps shorter

7 0

3 years ago

I need help with this problem, if anyone could help ASAP, that would be much appreciated. In the figure below, mROP = 125° Find

VARVARA [1.3K]

Answer:

mRP = 125°

mQS = 125°

mPQR = 235°

mRPQ = 305°

Step-by-step explanation:

Given that

mROP = 125°

∠ROP is a central angle

Then:

measure of arc RP, mRP = mROP = 125°

Given that

∠QOS and ∠ROP are vertical angles

Then:

mQOS = mROP = 125°

measure of arc QS, mQS = mROP = 125°

Given that

∠QOR and ∠SOP are vertical angles

Then:

mQOR = mSOP

Given that

The addition of all central angles of a circle is 360°

Then:

mQOS + mROP + mQOR + mSOP = 360°

250° + 2mQOR = 360°

mQOR = (360°- 250°)/2

mQOR = mSOP = 55°

And (QOR and SOP are central angles):

measure of arc QR, mQR = mQOR = 55°

measure of arc SP, mSP = mSOP = 55°

Finally:

measure of arc PQR, mPQR = mQOR + mSOP + mQOS = 55° + 55° + 125° = 235°

measure of arc RPQ, mRPQ = mROP + mSOP + mQOS = 125° + 55° + 125° = 305°

6 0

3 years ago

What are the circumference and area of a circle with radius 7in. Round to the nearest tenth.

Natalka [10]

Circumference is 40 in and area is 150 in²

Step-by-step explanation:

Step 1: Find the circumference of the circle when radius = 7 in

Circumference = 2πr = 2 × 22/7 × 7 = 44 in ≈ 40 in

Step 2: Find the area of the circle.

Area = πr² = 22/7 × 7² = 154 in² ≈ 150 in²

4 0

3 years ago