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KatRina [158]
2 years ago
7

Which expressions are equivalent to − f − 5 ( 2 f − 3)

Mathematics
1 answer:
Drupady [299]2 years ago
3 0

Answer:

I need the expressions

Step-by-step explanation:

(I don't have the experresions but I think it might be helpful to simplify)

- f - 5 ( 2 f - 3)

−f−10f+15

−f−(10f−15)

(−f−10f)+15

<u>−11f+15 </u>

<u />

<u>Hope this helped</u>

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The diagram shows a 9cm x 7cm rectangle-based pyramid. all the diagonal sides - TA, TB, TC, AND TD- are length 12cm. M is the mi
lakkis [162]

Answer:

∠TAC is approximately equal to 61.6°

Step-by-step explanation:

The given parameters for the pyramid are;

The dimension for the rectangular base are; Length = 9 cm, width = 7 cm

The length of the diagonal sides, TA, TB, TC, and TD = 12 cm each

The midpoint of the rectangular base = Point M

The diagonal AC = AM + MC

AM = MC as given M is the midpoint of the rectangular base

∴ AC = AM + MC = 2·AM

By Pythagoras' theorem, AC = √(9² + 7²) = √130

AC = √130 cm

∴ AM = AC/2 = (√130)/2 cm

Alternatively, AM = √((9/2 cm)² + (7/2 cm)²) = √(32.5) cm

∠TAC = ∠TAM

By trigonometric ratios, we have;

cos (\theta) = \dfrac{Length \ of \ adjacent \ side \ to \ angle }{Length \ of \ hypotenuse\ side \ to \ angle}

\therefore cos (\angle TAM) = cos (\angle TAC) =  \dfrac{\left (\dfrac{\sqrt{130} }{2}   \right )}{12} = \dfrac{\sqrt{130} }{2 \times 12} = \dfrac{\sqrt{130} }{24}

\angle TAC = arccos \left ( \dfrac{\sqrt{130} }{24} \right ) \approx  61.6 ^{\circ} \ to 1 \ decimal \ place

6 0
2 years ago
How many yards are in 7 3/5 feet?
11Alexandr11 [23.1K]

Answer:

22 4/5 yards

Step-by-step explanation:

(7 3/5) x 3 = 22 4/5

8 0
3 years ago
Find mZXZx(5t - 13°Y(3t+ 3)
trapecia [35]

The diagram provided is an isosceles triangle. An isosceles triangle has two sides having equal measure and two base angles also having equal measure.

From the marks on the triangle given, line ZX and line ZY are equal in length. This also means angle X and angle Y are equal in measure.

Therefore, we would have;

\begin{gathered} 5t-13=3t+3 \\ \text{Collect all like terms and you'll have,} \\ 5t-3t=3+13 \\ 2t=16 \\ \text{Divide both sides by 2} \\ \frac{2t}{2}=\frac{16}{2} \\ t=8 \\ \text{If t=8, then} \\ 5t-13=5(8)-13 \\ 5t-13=40-13 \\ 5t-13=27 \end{gathered}

This means angle X and angle Y both equal 27 degrees each.

Note that the sum of angles in a triangle is 180. Therefore, in triangle ZXY,

undefined

7 0
1 year ago
HELP PLEASE!!!!!!! BRAINLIEST REWARD IS UP!!! CORRECT ANSWER ONLY PLEASE!!!
Mashcka [7]
B: exponential; y=3^x-1
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3 years ago
If the quadrilateral below is a kite, find m
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Answer:

49°

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7.5x-15+90=180

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7.5x=105

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3 years ago
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