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Anastaziya [24]

3 years ago

14

Translate the phrase into a math expression. Twenty divided by the sum of 4 and 1.

2 answers:

horrorfan [7]3 years ago

7 0

Answer: 20 ÷ (4+1)

Step-by-step explanation:

Hi, to write the math expression we have to analyze each part of the phrase.

So:

Twenty (the number 20)

Divided (÷)

By the sum of 4 and 1: (4+1)

In conclusion, the math expression is: 20 ÷ (4+1)

If we continue and solve the expression:

20 ÷ (4+1)

20 ÷ 5 = 4

Feel free to ask for more if it´s necessary or if you did not understand something.

mr_godi [17]3 years ago

5 0

4+1/ 20

It would be in a fraction like form.

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Pls help 10 ptsssssssss

creativ13 [48]

Answer:

8x

Step-by-step explanation:

x · 8

8x

5 0

3 years ago

Read 2 more answers

In circle R with QRS=90 and QR= 3 units find the length of arc QS round to the nearest hundredth

luda_lava [24]

Hello, I Am BrotherEye

Answer:

27.92 units

Step-by-step explanation:

Radius (qr) = r = 16 units

<QŘS = θ = 82°

Length of an arc = (Θ / 360) * 2πr

L = (θ / 360) *2πr

L = (82 / 360) * 2π * 16

L = 0.2777 * 100.53

L = 27.917 units

L = 27.92 unit

Best Of Luck

~

BrotherEye

6 0

3 years ago

In the right ∆ABC, the hypotenuse AB = 17 cm. M is the midpoint of the hypotenuse. Find the legs if PAMC=32 cm and PBMC=25 cm

jeyben [28]

Answer:

The length of the legs is 8.64cm and 14.64cm respectively

Step-by-step explanation:

I've added an attachment to aid my explanation.

At different intervals, I'll be making reference to it.

Given

$AB = 17$

$PAMC = 32$

$PBMC = 25$

From the attachment, we have:

$y + z = AB$

Since, M is the Midpoint

$y = z = \½AB$

Substitute 17 for AB

$y = z = \½ * 17$

$y = z = 8.5$

Also, from the attachment

$v + x + z = PAMC$

$v + x + y = 32$

Substitute 8.5 for y

$v + x + 8.5 = 32$

$v + x = 32 - 8.5$

$v + x = 23.5$ --------- (1)

Also, from the attachment

$v + w + z = 25$

Substitute 8.5 for z

$v + w + 8.5 = 25$

$v + w = 25 - 8.5$

$v + w = 17.5$ ----------- (2)

Subtract (2) from (1)

$v - v + x - w = 23.5 - 17.5$

$x - w = 6$

Make x the subject

$x = 6 + w$

Apply Pythagoras Theorem:

We have that:

$AB^2 = AC^2 + BC^2$

The above can be replaced with

$17^2 = x^2 + w^2$ (see attachment)

$289 = x^2 + w^2$

Substitute 6 + w for x

$289 = (6 + w)^2 + w^2$

$289 = 36 + 12w + w^2 + w^2$

$289 - 36 = 12w + 2w^2$

$253 = 12w + 2w^2$

Reorder

$2w^2 + 12w - 253 = 0$

Solve using quadratic equation:

$w = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

Where

$a = 2$

$b = 12$

$c = -253$

$w = \frac{-12 \± \sqrt{12^2 - 4 * 2 * -253}}{2 * 2}$

$w = \frac{-12 \± \sqrt{144 + 2024}}{4}$

$w = \frac{-12 \± \sqrt{2168}}{4}$

$w = \frac{-12 \± 46.56}{4}$

Split:

$w = \frac{-12 + 46.56}{4}$ or $w = \frac{-12 - 46.56}{4}$

$w = \frac{34.56}{4}$ or $w = \frac{-58.56}{4}$

$w = 8.64$ or $w = -14.64$

But length can't be negative

So:

$w = 8.64$

Recall that: $x = 6 + w$

$x = 6 + 8.64$

$x = 14.64$

<em>Hence, the length of the legs is 8.64cm and 14.64cm respectively</em>

5 0

3 years ago

I need help with these questions ( see image for question ).<br>Please show working.<br>

antiseptic1488 [7]

Answer:

k = -4 ± 2√5

Step-by-step explanation:

#22

<h3>Given </h3>

Equation x² -4x + 1 = k(x - 4) with equal roots

<h3>To find</h3>

The value of k

<h3>Solution</h3>

<u>The equation in standard form is:</u>

x² -4x + 1 = k(x - 4)
x² - 4x - kx + 1 + 4 = 0
x² - (k + 4)x + 5 = 0

<u>When the quadratic equation has equal roots its discriminant is zero</u>

D = 0
b² - 4ac = 0
(k + 4)² - 4*5 = 0
(k + 4)² = 20
k + 4 = ± √20
k = - 4 ± √20
or
k = -4 ± 2√5

5 0

3 years ago

What is 9/11*4/15 in the simplest form

stiks02 [169]

Answer:

$\frac{12}{55}$

Step-by-step explanation:

$\frac{9}{11}$ × $\frac{4}{15}$

$\frac{3}{11}$ × $\frac{4}{5}$

$\frac{12}{55}$ Answer

Hope this helps!

4 0

3 years ago

Read 2 more answers