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3 years ago

Two angles are complementary. The larger angle is 36 more than the smaller angle. What is the measure of the larger angle?

Mathematics

1 answer:

iren [92.7K]3 years ago

6 0

Answer:

The largest angle is 63

Step-by-step explanation:

Shows that one is 36 degrees larger: 63 - 36 = 27

Shows that the angles are complementary/Their sum is 90: 27 + 63 = 90

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What is the slope of a line parallel to a line whose equation is 4y-6y=15

svp [43]

First, did you mean 4y - 6x = 15?

8 0

2 years ago

1: What is Abby's total spent on transportation?

stealth61 [152]

Answer:

1. Total spent on transportation $222.2.

2. $ 192.5

3. She spends $30 over the guideline.

Step-by-step explanation:

As per the image attached:

Total monthly spent on transportation = Total monthly car payment + Spent on gas fuel

Total monthly spent on transportation = 120 + 37.9 + 28.4 + 35.9 = $222.2

So, Answer 1. Abby's total spent on transportation = $222.2

Calculating the percentage:

$\Rightarrow \dfrac{\text{Spent on transportation}}{\text{Total monthly income}}$

$\Rightarrow \dfrac{222.2}{1750}\times 100 =12.69\%$

Calculating 11% as per the guideline:

$1750 \times \dfrac{11}{100}\\\Rightarrow \$192.5$

Answer 2. As per the guideline, she should spend $192.5 on transportation.

Difference between spending and guideline = $222.2 - $192.5 = $29.7

Answer 3. She spends $29.7 over the guideline.

8 0

3 years ago

Avaluate 2^3x-1 for x=1

DENIUS [597]

Answer:

4 or 7 (Check the explanation to see which one your equation actually is.

Step-by-step explanation:

One thing I want to clarify for you, It's Evaluate, not Avaluate.

Okay so, we want to find the value of 2^3x-1 and we know x = 1.

You didn't really clarify if the expression was $2^{3x-1}$ or $2^{3x}-1$ , so I'll be doing both:

For $2^{3x-1}$ , we should plug in x to get $2^{3(1)-1}$ and then simplify to get $2^{2}$ .

2 to the power of 2 or $2^{2}$ is equal to 2 * 2 or 4.

The second one, $2^{3x}-1$ , we should plug in x to get $2^{3(1)}-1$ and then to become $2^{3}-1$ . 2 to the power of 3 or $2^{3}$ is 8 and then minus 1 is 7.

7 0

3 years ago

Read 2 more answers

Tony can cycle a distance of 9 5/6 miles in 3/5 hours. What is his unit rate

Eva8 [605]

Answer:

95/6

3/5

Step-by-step explanation:

3 0

2 years ago

If c is the curve given by \mathbf{r} \left( t \right = \left( 1 5 \sin t \right \mathbf{i} \left( 1 3 \sin^{2} t \right \mathbf

jonny [76]

With the curve $C$ parameterized by

$C:\mathbf r(t)=\underbrace{15\sin t}_{x(t)}\,\mathbf i+\underbrace{13\sin^2t}_{y(t)}\,\mathbf j+\underbrace{12\sin^3t}_{z(t)}\,\mathbf k$

with $0\le t\le\dfrac\pi2$ , and given the vector field

$\mathbf f(x,y,z)=x\,\mathbf i+y\,\mathbf j+z\,\mathbf k$

the work done by $\mathbf f$ on a particle moving on along $C$ is given by the line integral

$\displaystyle\int_C\mathbf f\cdot\mathrm d\mathbf r=\int\limits_{t=0}^{t=\pi/2}\mathbf f(x(t),y(t),z(t))\cdot\frac{\mathrm d\mathbf r(t)}{\mathrm dt}\,\mathrm dt$

where

$\mathrm d\mathbf r=(15\cos t\,\mathbf i+26\sin t\cos t\,\mathbf j+36\sin^2t\cos t\,\mathbf k)\,\mathrm dt$

The integral is then

$\displaystyle\int_0^{\pi/2}(15\sin t\,\mathbf i+13\sin^2t\,\mathbf j+12\sin^3t\,\mathbf k)\cdot(15\cos t\,\mathbf i+13\sin2t\,\mathbf j+18\sin t\sin2t\,\mathbf k)\,\mathrm dt$
$=\displaystyle\int_0^{\pi/2}(432\sin^5t\cos t+338\sin^3t\cos t+225\sin t\cos t$
$=269$

6 0

3 years ago