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Questions in mathematics

[Done] The oblique pyramid has a square base with an edge length of 5 cm. The height of the pyramid is 7 cm.

[Done] Select the correct answer. If [tex]$5(4-x)\ \textless \ y+12$[/tex] and [tex]$y+12\ \textless \ 3 x+1$[/tex], then which statement is true? [tex]$3 x+1-5(4-x)=y+12$[/tex] [tex]$3 x+1\ \textless \ 5(4+x)$[/tex] [tex]$5(4-x)\ \textless \ 3 x+1$[/tex] [tex]$5(4-x)+3 x+1=y+12$[/tex]

[Done] What number exceeds 36,987 by 7,548? A number is 24,561 more than 55,439. Find the number. Add the greatest 4-digit number to the greatest 3-digit number. Shivani had ₹35,365 in her bank account. She deposited ₹36,360 more. What is the amount in her bank account now? Alice bought a bike for ₹45,670 and a scooty for ₹25,310. How much did she spend on these vehicles?

[Done] 1) What is the supplement of 119°? 2) What is the complement of 54°? 3) Give an example of a supplementary angle and complementary angle. 4) Name a pair of adjacent angles. 5) Name a pair of linear pair angles.

[Done] An iron rod is $12 \frac{1}{2} m$ long. If $7 \frac{3}{4} m$ length is cut off from one end of the rod, what is the length of the rod remaining?

[Done] Meg is printing a term paper for class at the rate shown in the table below. If the term paper is 60 pages long, how many total minutes will it take to print out? Assume that the printer prints the pages at a constant rate. | Time (minutes) | 3 | 4 | 5 | 6 | 7 | | :------------- | :-- | :- | :--- | :- | :--- | | Pages Printed | 7.5 | 10 | 12.5 | 15 | 17.5 | A. 20 minutes B. 24 minutes C. 150 minutes

[Done] Select the correct answer. For what value of $x$ is $\sin \left(x^{\circ}\right)=\cos \left(62^{\circ}\right)$, where $0^{\circ} A. 31 B. 56 C. 14 D. 28

[Done] Without using a calculator, find the value of $\frac{\tan 80}{\cot 10}$.

[Done] Mrs. Culland is finding the center of a circle whose equation is $x^2+y^2+6 x+4 y-3=0$ by completing the square. Her work is shown. $x^2+y^2+6 x+4 y-3=0$ $x^2+6 x+y^2+4 y-3=0$ $(x^2+6 x)+(y^2+4 y)=3$ $(x^2+6 x+9)+(y^2+4 y+4)=3+9+4$ Which completes the work correctly? A. $(x-3)^2+(y-2)^2=4^2$, so the center is $(3,2)$. B. $(x+3)^2+(y+2)^2=4^2$, so the center is $(3,2)$. C. $(x-3)^2+(y-2)^2=4^2$, so the center is $(-3,-2)$. D. $(x+3)^2+(y+2)^2=4^2$, so the center is $(-3,-2)$.

[Done] Solve $\frac{1}{6 x^2}-\frac{1}{2 x}=\frac{1}{12 x^2}$ A. $x=-1 / 6$ B. $x=6$ C. $x=-6$ D. $x=1 / 6$