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hichkok12 [17]
2 years ago
14

ASAP what is the value of k? -3(k+7) - 5k+4=23

Mathematics
2 answers:
Maru [420]2 years ago
6 0

Answer:

k=−5

Step-by-step explanation:

−3(k+7)−5k+4=23

(−3)(k)+(−3)(7)+−5k+4=23(Distribute)

−3k+−21+−5k+4=23

(−3k+−5k)+(−21+4)=23(Combine Like Terms)

−8k+−17=23

−8k−17=23

Step 2: Add 17 to both sides.

−8k−17+17=23+17

−8k=40

Step 3: Divide both sides by -8.

−8k

−8

=

40

−8

k=−5

Answer:

k=−5

 

KengaRu [80]2 years ago
6 0
The answer is k=-5

1 Expand - 3k - 21 - 5k + 4 = 23
2 Simplify - 3k - 21 - 5k + 4 to - 8k - 17 - 8k - 17 = 23
3 Add 17 to both sides - 8k = 23 + 17
4 Simplify 23 + 17 to 40. - 8k = 40
5 Divide both sides by . k = - 40/8
6 Simplify -40/8 to 5.

6 Simplify 40/8 to 5

k = - 5 Done
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PLEASE HELP!!!!!!!!! I NEED IT
Andreyy89

Answer:

32.5 feet

Step-by-step explanation:

This situation forms a right triangle. We are given the distance from the base of the tower (long leg of the triangle) and are asked to find the height (short leg of the triangle).

With this information, we can use the tan ratio, opposite over adjacent, to find the height of the tower.

tan 18 = \frac{x}{100}

Multiply each side by 100:

(100) tan 18 = x

Simplify and round to the nearest tenth:

32.49 = x

32.5 = x

So, the height of the tower is approximately 32.5 feet

3 0
3 years ago
Read 2 more answers
Steps for solving 3x + 18 = 54 are shown.
Lostsunrise [7]

C

By subtracting 18 to both sides you are separating the 3x because you are not ready to isolate the variable (x) in step 1

7 0
2 years ago
In triangle ABC, angle = 90 degrees. AC = 7, BC = 12. AB = _______ Measure of angle A = _______ Measure of angle B = _______
Ulleksa [173]

Answer:

AB = 13.89

Measure of angle A = 59.74°

Measure of angle B = 30.26°

Step-by-step explanation:

The given parameters are;

∠C = 90°

AC = 7

BC = 12

Part 1

Hence, the question has the dimensions of the two adjacent sides of the right angle (angle 90°)

From Pythagoras theorem, we have;

A² = B² + C²

Where, A is the opposite side to the right angle, hence;

In the ΔABC,

AB ≡ A

Therefore;

AB² = AC² + BC² = 7² + 12² = 193

∴ AB = √193 = 13.89

Part 2

∠A is the side opposite side BC such that by trigonometric ratios

tan \angle A = \frac{Opposite \, side \,  to \,  angle \,  A}{Adjacent  \,  side  \, to  \, angle \,  A}  = \frac{BC}{AC} = \frac{12}{7} = 1.714

∴ ∠A = Arctan(1.714) or tan⁻¹(1.714) = 59.74°

Part 3

∠B is found from knowing that the sum of the angles in a triangle = 180°

∴ ∠A + ∠B + ∠C = 180° which gives

59.74° + 90° + ∠B = 180°

Hence, ∠B = 180° - (59.74° + 90°) = 180° - 149.74° = 30.26°.

7 0
3 years ago
Read 2 more answers
Find the surface area of composite figures
Aleonysh [2.5K]

  • Answer:

<em>429 cm²</em>

  • Step-by-step explanation:

<em>A(blue) =</em>

<em>= 2×6cm×10cm + 2×6cm×8cm + 8cm×10cm + (8cm×10cm - 5cm×4cm)</em>

<em>= 120cm² + 96cm² + 80cm² + 60cm²</em>

<em>= 356 cm²</em>

<em>A(green) =</em>

<em>= 4cm×5cm + 2×5cm×5cm/2 + 4cm×7cm</em>

<em>= 20cm² + 25cm² + 28cm²</em>

<em>= 73 cm²</em>

<em>A(total) =</em>

<em>= A(blue) + A(green)</em>

<em>= 356 cm² + 73 cm²</em>

<em>= 429 cm²</em>

6 0
3 years ago
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What is 1/8 as a whole number?
Degger [83]
Could it be like 1/8 of 100?
3 0
2 years ago
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