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hoa [83]
3 years ago
6

(a+7)2 please expand it

Mathematics
2 answers:
labwork [276]3 years ago
8 0
I think it actually means (a+7)(a+7) so it would be: a^2 + 14a + 49
sergiy2304 [10]3 years ago
3 0

Answer:

expand (a + 7) * 2:   2a + 14

Step-by-step explanation:

(a + 7) * 2

= 2 ( a + 7)

apply the distributive law:     a(b + c) = ab + ac

a = 2, b = a, c = 7

= 2a + 2 * 7

multiply the numbers:   2 * 7 = 14

= 2a + 14

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Kaira's gross pay is $4,633. Her deductions total $1,009.13. What percent of hergross pay is take-home pay?Round to the nearest
Delvig [45]

Answer:

\text{ 78\%}

Explanation:

Here, we want to get the percentage of the gross pay is the take-home pay

Mathematically, we have to divide the take-home pay by the gross pay and multiply it by 100%

Her take-home pay is the difference between her gross pay and her deductions

We have this as:

\text{ 4633 - 1009.13 = \$3,623.87}

We have this as:

\frac{3623.87}{4633}\text{ }\times\text{ 100 \% = 78\%}

7 0
1 year ago
Use benchmarks to estimate the difference of<br> 9/11-2/14
soldier1979 [14.2K]

\frac{9}{11}  -  \frac{2}{14}  =  \frac{9}{11}  -  \frac{1}{7}  =   \frac{63 - 11}{77}  =  \\  =  \frac{52}{77}

7 0
3 years ago
Answer in 5 min I GIVE U BRAINLIEST
telo118 [61]

This is the formula of finding the hypotenuse: a² + b² = c².

So the legs would be a and b.

4² + 4² = c²

c² = 16 + 16

c² = 32

c = √32  (Option C)

7 0
3 years ago
Read 2 more answers
Please Help!!!
algol [13]
f\left(\dfrac\beta2\right)=\sin\dfrac\beta2

Recall the half-angle identity:

\sin^2\dfrac\beta2=\dfrac{1-\cos\beta}2\implies\sin\dfrac\beta2=\pm\sqrt{\dfrac{1-\cos\beta}2}

So in order to find f\left(\dfrac\beta2\right), we only need to know the value of \cos\beta. But there are two possible values. To decide which to take, we use the given information: we know that \beta lies in quadrant III, which means \pi, so \dfrac\pi2, which places \dfrac\beta2 in quadrant II. In this quadrant, the sine of angle is positive, and so

\sin\dfrac\beta2=\sqrt{\dfrac{1-\cos\beta}2}

\beta is an angle of a ray whose terminal point, \left(-\dfrac13,y\right) lies on the circle x^2+y^2=1. The x-coordinate is all we need to know in order to find that \cos\beta=-\dfrac13. So,

\sin\dfrac\beta2=\sqrt{\dfrac{1-\left(-\frac13\right)}2}=\sqrt{\dfrac46}=\dfrac{\sqrt2}{\sqrt3}=\dfrac{\sqrt6}3
6 0
3 years ago
a triangle has sides 8cm and 5cm and an angle of 90 degree between them.calculate the smallest angle of the triangle ​
kakasveta [241]

Answer:

The smallest angle is 32 degrees

Step-by-step explanation:

The given parameters show that the triangle is a right angled triangle;

Let the two other angles be represented by x and y;

Since the angle between side 5 cm and side 8 cm is 90, we can represent any of this sides as the opposite and as the adjacent;

Scenario 1 (Calculating x)

Let opposite = 5 cm

Let adjacent = 8 cm

In trigonometry, The relationship between opposite and adjacent is Tangent;

Tan\ x = \frac{Opposite}{Adjacent}

Tan\ x = \frac{5}{8}

Tan\ x = 0.625

Take arctan of both sides

x = tan^{-1}0.625

x = 32.0053832081

x = 32 (Approximated)

Scenario 2 (Calculating y)

Let opposite = 8 cm

Let adjacent = 5 cm

In trigonometry, The relationship between opposite and adjacent is Tangent;

Tan\ y = \frac{Opposite}{Adjacent}

Tan\ y = \frac{8}{5}

Tan\ y = 1.6

Take arctan of both sides

y = tan^{-1}1.6

y = 57.9946167919

y = 58 (Approximated)

<em>By comparing the angles, the smallest angle is 32 degrees</em>

6 0
3 years ago
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