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Lina20 [59]
3 years ago
14

Can someone please help me with these two please I'll appreciate it :)

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
7 0
4.

\sqrt{64}=8\\\\8\dfrac17=8.14285714...\\\\8.\overline{14}=8.14141414...\\\\ \dfrac{15}2=7,5\\\\\\ \boxed{\ \dfrac{15}2\ \ \textless \ \ \sqrt{64}\ \ \textless \ \ 8.\overline{14}\ \ \textless \ \ 8\dfrac17\ }

5.

\sqrt{18}  doesn't belong with the other three because it is irrational number
The other three can be expressed as a ratio between two <span>integers.

-\dfrac{10}2=\dfrac{-10\ }2\\\\-13.4=-13\frac4{10}=\frac{-134}{\ 10}\\\\ 22.\overline7=22\frac79=\frac{205}9\\\\\\ \sqrt{18}=\sqrt{9\cdot2}=\sqrt9\cdot\sqrt2=3\sqrt2
</span>

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What is 10.26 with 8% tax
sleet_krkn [62]

Answer:

$11.08 to the nearest penny

Step-by-step explanation:

So I do it like

10.26 is 100 percent

We’re adding 8 percent so technically multiplying by 108

SO 10.26*108 is 11.08 to the nearest penny

It so much easier, easy 1 step

8 0
3 years ago
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3 0
2 years ago
Fine length of BC on the following photo.
MrMuchimi

Answer:

BC=4\sqrt{5}\ units

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ACD

Find the length side AC

Applying the Pythagorean Theorem

AC^2=AD^2+DC^2

substitute the given values

AC^2=16^2+8^2

AC^2=320

AC=\sqrt{320}\ units

simplify

AC=8\sqrt{5}\ units

step 2

In the right triangle ACD

Find the cosine of angle CAD

cos(\angle CAD)=\frac{AD}{AC}

substitute the given values

cos(\angle CAD)=\frac{16}{8\sqrt{5}}

cos(\angle CAD)=\frac{2}{\sqrt{5}} ----> equation A

step 3

In the right triangle ABC

Find the cosine of angle BAC

cos(\angle BAC)=\frac{AC}{AB}

substitute the given values

cos(\angle BAC)=\frac{8\sqrt{5}}{16+x} ----> equation B

step 4

Find the value of x

In this problem

\angle CAD=\angle BAC ----> is the same angle

so

equate equation A and equation B

\frac{8\sqrt{5}}{16+x}=\frac{2}{\sqrt{5}}

solve for x

Multiply in cross

(8\sqrt{5})(\sqrt{5})=(16+x)(2)\\\\40=32+2x\\\\2x=40-32\\\\2x=8\\\\x=4\ units

DB=4\ units

step 5

Find the length of BC

In the right triangle BCD

Applying the Pythagorean Theorem

BC^2=DC^2+DB^2

substitute the given values

BC^2=8^2+4^2

BC^2=80

BC=\sqrt{80}\ units

simplify

BC=4\sqrt{5}\ units

7 0
3 years ago
I don't get the answer
Goshia [24]
A' is (-12, 6)
B' is (0,6)
C' is (3, -3)
D' is (-9, -3)

Hope this helps!
7 0
3 years ago
Please help me find the area of this shape
oee [108]

Answer:

Step-by-step explanation:

15 x 7 = 105

The gap is either 9 x 7 =63 or 12 x 7 = 84

105 - 84 = 21

105 - 63 = 42

So the shaded area is either is 21 or 42

7 0
2 years ago
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