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2 years ago

Find A and B. Using the image above.

Mathematics

1 answer:

NeX [460]2 years ago

7 0

Answer:

a = 7, b = $\frac{7\sqrt{3} }{3}$

Step-by-step explanation:

Using the sine ratio in the left right triangle and the exact value

sin45° = $\frac{1}{\sqrt{2} }$ , then

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{a}{7\sqrt{2} }$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

a × $\sqrt{2}$ = 7 $\sqrt{2}$ ( divide both sides by $\sqrt{2}$ )

a = 7

--------------------------------------------------------

Using the tangent ratio in the right triangle on the right and the exact value

tan60° = $\sqrt{3}$ , then

tan60° = $\frac{opposite}{adjacent}$ = $\frac{a}{b}$ = $\frac{7}{b}$ = $\sqrt{3}$ ( multiply both sides by b )

b × $\sqrt{3}$ = 7 ( divide both sides by $\sqrt{3}$ )

b = $\frac{7}{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$ = $\frac{7\sqrt{3} }{3}$

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10x + y=-4 Find the slope intercept form of the equation

Anit [1.1K]

Y=10x-4

Slope: 10

Y intercept: -4

8 0

3 years ago

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 419 gram setting. It is

Dahasolnce [82]

Answer:

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

Step(i):-

Given the mean of the Population(μ) = 419 grams

The sample size 'n' =19

Given mean of the sample x⁻ = 412

Given variance of the sample S² = 784

S = √784 = 28

Step(ii):-

Null hypothesis: H₀: There is no sufficient evidence to support the claim that the bags are underfilled.

Alternative hypothesis: H₁:

There is sufficient evidence to support the claim that the bags are underfilled.

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{412 -419}{\frac{28}{\sqrt{19} } }$

t = -1.09

|t| = |-1.09|

Degrees of freedom ν = n-1 = 19-1 =18

t₀.₀₂₅ = 3.19

Final answer:-

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

8 0

3 years ago

How do you Solve d+7/−3=4?

vova2212 [387]

Answer:

One solution was found :

d = 19/3 = 6.333

Step-by-step explanation:

Step by step solution :

Step 1 :

Simplify ——

-3

Equation at the end of step 1 :

(d + ——) - 4 = 0

-3

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Adding a fraction to a whole

Rewrite the whole as a fraction using -3 as the denominator :

d d • -3

d = — = ——————

1 -3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

d • 3 + 7 • -1 3d - 7

—————————————— = ——————

3 3

Equation at the end of step 2 :

(3d - 7)

———————— - 4 = 0

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

4 4 • 3

4 = — = —————

1 3

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

(3d-7) - (4 • 3) 3d - 19

———————————————— = ———————

3 3

Equation at the end of step 3 :

3d - 19

——————— = 0

Step 4 :

When a fraction equals zero :

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

3d-19

————— • 3 = 0 • 3

Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

3d-19 = 0

Solving a Single Variable Equation :

4.2 Solve : 3d-19 = 0

Add 19 to both sides of the equation :

3d = 19

Divide both sides of the equation by 3:

d = 19/3 = 6.333

One solution was found :

d = 19/3 = 6.333

6 0

3 years ago

BRAINLIEST.In which quadrant does the point (-5, 21) lie?

DanielleElmas [232]

Answer:

Point (-5,21) would end up in quadrant II (2).

Step-by-step explanation:

It would end up in quadrant 2 because x=-5 which means it would go left.

y=21 which means it would go up.

Because of this, the point would end up in the top left of the graph which is quadrant 2.

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2 years ago

A contractor has two choices for billing a completed job. · $500 flat rate, regardless of the number of hours worked · $20 per h

pickupchik [31]

Answer:

The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

Step-by-step explanation:

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2 years ago