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gogolik [260]
2 years ago
9

(Geometry)

Mathematics
1 answer:
kirill115 [55]2 years ago
4 0

Answer:

Set up trig ratio using tangent.

Tan theta = opp/adj

Tan theta = 500/800

Tan^-1 (500/800) = 32 degrees

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Solve x^2 + x - 12 = 0
bogdanovich [222]

Answer:

x₁ = -4

x₂ = 3

Step-by-step explanation:

x²+ x + 12 = 0

x = {-1±√((1²)-(4*1*-12))} / (2*1)

x = {-1±√(1+48)} / 2

x = {-1±√49} / 2

x = {-1±7} / 2

x₁ = {-1-7} / 2 = -8/2 = -4

x₂ = {-1+7} / 2 = 6/2 = 3

Check:

x₁

-4² + (-4) - 12 = 0

16 - 4 - 12 = 0

x₂

3² + 3 - 12 = 0

9 + 3 - 12 = 0

6 0
1 year ago
Anthony has to practice his guitar for 1.75 hours each morning and 2.5 hours each evening for the first 4 days this week. How ma
weqwewe [10]

Answer:

17 hours

Step-by-step explanation:

From the above question,

Anthony is practicing 4 days in a week

Hence

The number of hours he practices in the morning for 4 days =

1.75 hours × 4

= 7 hours

The number of hours he practices in the evening for 4 days =

2.5 hours × 4

= 10 hours

Therefore, the total number of hours he practices this week

= 7 hours + 10 hours

= 17 hours

5 0
2 years ago
Dividing a whole number by a unit fraction results in a:
Alex Ar [27]

Answer:

each unit being divided into smaller parts

Step-by-step explanation:

7 0
2 years ago
<img src="https://tex.z-dn.net/?f=-5%2B78%2B%28-32%29" id="TexFormula1" title="-5+78+(-32)" alt="-5+78+(-32)" align="absmiddle"
AysviL [449]
Adding a negative is same as subtraction
-5+78-32
73-32
41
5 0
2 years ago
Read 2 more answers
Solve completely (all missing sides and all missing angles) using trig ratios or laws. Round to the nearest tenth.
hodyreva [135]

Answer:

Step-by-step explanation:

3. Use Cosine law to find the  length of the unknown side (PR)

q² = p² +  r² - 2prCos Q

q is the opposite side of ∠Q;  

p is the opposite side of ∠P; p = 33

r is the opposite sides of ∠R ; r = 67

q² = 33² + 67² -  2* 33*67 Cos 19°

    = 1089 + 4489 - 4422 * 0.95

     = 1089 + 4489 - 4200.9

    = 1377.1

q = √1377.1

q = 37.1

PR = 37.1

To find the angle use law of sin

\sf \dfrac{q}{Sin \ Q} =\dfrac{p}{Sin \ P}\\\\\\\dfrac{37.1}{Sin \ 19}=\dfrac{33}{Sin \ P} \\\\\\\dfrac{37.1}{0.33}=\dfrac{33}{Sin \ P}\\\\\\37.1* Sin \ P = 33 *0.33\\\\Sin \ P =\dfrac{33*0.33}{37.1}

Sin P = 0.3

P = Sin^{-1} 0.3\\

P = 17.5°

∠R = 180 - (19 + 17.5)

    = 143.5°

6 0
2 years ago
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