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3 years ago

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Question 3 of 6 (1 point) Attempt 33 of Unlimited View question in a popup

1 answer:

Alina [70]3 years ago

6 0

Answer:

10%

Step-by-step explanation:

(a) What percentage of meals had less than 10 grams of fat?

(b) Round your answer to the nearest tenth of a percent.

To find the percentage of meals with less than 10 grams of fat, count the number of meals with less than 10 grams of fat and divide by the total number of meals; multiply this figure by a hundred.

(A) Total number of meals = 550

Number of meals having less than 10 grams of fat = 77

Percentage of meals having less than 10 grams of fat = 77/550 × 100

= 0.14 × 100 = 14%

(B) Rounding the answer to the nearest tenth of a percent means approximating it to the nearest multiple of 10 that is not more than 100 (where 100 here represents a full cent or 'percent').

The multiples of 10 that are close to 14 are 10 and 20. The closest being 10, your answer becomes 10%

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an isosceles triangle has congruent sides of 20cm. the base is 10cm. find the height of the triangle.

dolphi86 [110]

Answer:

$\large\boxed{A_\triangle=25\sqrt{15}\ cm^2}$

Step-by-step explanation:

Look at the picture.

The formula of an area of a triangle:

$A_\triangle=\dfrac{bh}{2}$

<em>b</em><em> - base</em>

<em>h</em><em> - height</em>

<em />

We need a length of a height.

Use the Pythagorean theorem:

$leg^2+leg^2=hypotenuse^2$

We have:

$leg=5,\ leg=h,\ hypotenuse=20$

Substitute:

$5^2+h^2=20^2$

$25+h^2=400$ <em>subtract 25 from both sides</em>

$h^2=375\to h=\sqrt{375}\\\\h=\sqrt{(25)(15)}\\\\h=\sqrt{25}\cdot\sqrt{15}\\\\h=5\sqrt{15}\ cm$

Calculate the area:

$A_\triangle=\dfrac{(10)(5\sqrt{15})}{2}=\dfrac{50\sqrt{15}}{2}=25\sqrt{15}\ cm^2$

8 0

3 years ago

find all the solutions of sec theta - 2 =0. It says use "or" as necessary and gives an example of kpi.

swat32

Sec t (theta) - 2 = 0
sec t = 2
1/ cos t = 2
cos t = 1/2
Answer:
t = π / 3 + 2 k π , or : t = 5 π / 3 + 2 kπ,
k ∈ Z

5 0

3 years ago

What is equivalent to 1/2+1/6

m_a_m_a [10]

Answer:

4/6 or 2/3.

Step-by-step explanation:

You need to multiply 1/2 by 3/3 so you can can the denominater having a 6.

3 0

3 years ago

Figure out the x-intercept and y-intercept in given equation of the line.<br> 6x + 2y = 12

kakasveta [241]

Answer:

x intercept=2

y intercept=6

Step-by-step explanation:

to find x and y intercepts, plug in 0 for x and y

x intercept-

6x+2(0)=12

6x=12

x=2

y intercept-

6(0)+2y=12

2y=12

y=6

5 0

3 years ago

Please help 60 points!!

Katen [24]

Answer:

The answer to your question is FJ = 18

Step-by-step explanation:

Data

FG = 30

FH = 12

HE = 8

JH ║GE

These triangles are similar, so we can use proportions to find the length of FJ.

$\frac{FJ}{FH} = \frac{FG}{FH + HE}$

Substitution

$\frac{FJ}{12} = \frac{30}{12 + 8}$

Simplification

$\frac{FJ}{12} = \frac{30}{20}$

Solve for FJ

$FJ = 12 \frac{30}{20}$

Result

FJ = 18

4 0

3 years ago

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