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Triss [41]
3 years ago
11

1) Asma works for 32 hours in a week and is paid £15.20 for each hour worked.

Mathematics
1 answer:
crimeas [40]3 years ago
6 0
Asma works for 32 hr and each hour she receives £15.20, therefore, you could multiply 32 x 15.20= £486.4, which is the total amount she gets. And for James, you could multiply 30 x 11.50= £345. To find the difference in their weekly pay, we should subtract 486.4-345= £141.4.
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What is the zero of g(x)=-x-7?<br> A. 7<br> B. 4<br> C. -7<br> D. 3
blsea [12.9K]

Answer:

I think it's A. 7

Step-by-step explanation:

4 0
3 years ago
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Answer:

C. y = 5x

Explanation:

(5 - 15) / (1 - 3)

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5
3 0
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What is the value of x in the equation below?<br><br> 1+2e^x+1=9
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romanna [79]

Since the tangent of B is 4/3, then:

\begin{gathered} \frac{AC}{BA}=\frac{4}{3} \\ \Rightarrow AC=\frac{4}{3}BA \end{gathered}

On the other hand, since ABC is a right triangle with hypotenuse BC, then:

(BA)^2+(AC)^2=(BC)^2

Substitute AC=3/4 BA and BC=15 to find BA:

\begin{gathered} (BA)^2+(\frac{4}{3}BA)^2=15^2 \\ \Rightarrow BA^2+\frac{16}{9}BA^2=15^2 \\ \Rightarrow(1+\frac{16}{9})BA^2=15^2 \\ \Rightarrow\frac{25}{9}BA^2=15^2 \\ \Rightarrow BA^2=\frac{9}{25}\cdot15^2 \\ \Rightarrow BA=\sqrt[]{(\frac{9}{25}\cdot15^2)} \\ \Rightarrow BA=\frac{3}{5}\cdot15 \\ \Rightarrow BA=9 \end{gathered}

Substitute BA=12 into the expression for AC to find its value:

AC=\frac{4}{3}BA=\frac{4}{3}(9)=12

On the other hand, we know that:

BD+DA=BA

Substitute BA=12 and DA=3 to find BD:

\begin{gathered} BD+3=9 \\ \Rightarrow BD=9-3 \\ \Rightarrow BD=6 \end{gathered}

Finally, since BDE and BAC are similar triangles, we know that:

\begin{gathered} \frac{DE}{BD}=\frac{AC}{BA} \\ \Rightarrow DE=\frac{AC}{BA}\times BD \end{gathered}

Substitute AC=12, BA=9 and BD=6 to find the length DE:

\begin{gathered} DE=\frac{12}{9}\times6 \\ \Rightarrow DE=8 \end{gathered}

Therefore, the length of DE is:

8

3 0
1 year ago
ASAP!! Which graphs have same domain?
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Graph 1 and 3 have the same domain
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