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andrezito [222]
3 years ago
6

Francesca is a single mother making $645 per week after taxes. She spends one-third of her money on rent and utilities and puts

5% of the remaining money in a savings account for her daughter’s education. How much money is left over for Francesca to spend on her other expenses?
Mathematics
1 answer:
AleksandrR [38]3 years ago
4 0

Answer:

<u>$10.75</u>

<u />

Step-by-step explanation:

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Find the missing side of each triangle. Leave your answer in simplest radical form.
malfutka [58]

Answer:

should be, must be, gotta be it

Step-by-step explanation:

13² = 7² + x²

169 = 49 + x

x² = 169 - 49

x² = 120

x = \sqrt{120} (do this stpd calculus)

x = 2\sqrt{30}

7 0
3 years ago
A bakery uses 10 3/5 ounces of icing for every 1/4 of a cake. What is the unit rate in ounces of icing per cake?
natita [175]

Answer:

42\frac{2}{5}}\frac{ounces}{cake}

Step-by-step explanation:

we know that

To calculate the unit rate divide the total ounces by 1/4 of a cake

but first convert mixed number to an improper fraction

10\frac{3}{5}\ ounces=\frac{10*5+3}{5}=\frac{53}{5}\ ounces

\frac{(53/5)}{(1/4)}=\frac{53*4}{5}=\frac{212}{5}\frac{ounces}{cake}

Convert to mixed number

\frac{212}{5}\frac{ounces}{cake}=\frac{210}{5}+\frac{2}{5}=42\frac{2}{5}}\frac{ounces}{cake}

5 0
4 years ago
One book costs 1pound 99p how much do 4 cost
mars1129 [50]
Multiply 1.99 by 4. What do you get?
7 0
3 years ago
I need helpppppp i have no idea what im looking at lol
Y_Kistochka [10]

The correct answer is option B which is SinA = \dfrac{4}{5} , tanA = \dfrac{4}{3} ,SecA=\dfrac{5}{3},

CosA=\dfrac{3}{5},CotA=\dfrac{3}{4} and CscA=\dfrac{5}{4}.

<h3>What is trigonometry?</h3>

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

From the figure we can see that two sides are Ab = 15 cm and BC = 12 cm third side will be calculated by pythagorean theorem.

AC² = AB² -  BC²

AC²  = 15²  -  12²

AC²  =  81

AC   =  √81

AC  =  9 cm

Now all the trigonometry identities are:-

SinA =\dfrac{BC}{AB}=\dfrac{12}{15}= \dfrac{4}{5} ,

tanA =\dfrac{BC}{AC}=\dfrac{12}{9}= \dfrac{4}{3} ,

SecA=\dfrac{AB}{AC}=\dfrac{15}{9}= \dfrac{5}{3},

CosA=\dfrac{AC}{AB}=\dfrac{9}{15}= \dfrac{3}{5},

CotA=\dfrac{AC}{BC}=\dfrac{9}{12}=}\dfrac{3}{4}

CscA=\dfrac{AB}{BC}=\dfrac{15}{12}= \dfrac{5}{4}.

Therefore correct answer is option B which is SinA = \dfrac{4}{5} , tanA = \dfrac{4}{3} ,SecA=\dfrac{5}{3},CosA=\dfrac{3}{5},CotA=\dfrac{3}{4} and CscA=\dfrac{5}{4}.

To know more about Trigonometry follow

brainly.com/question/24349828

#SPJ1

6 0
2 years ago
Which rule explains why these triangles are
worty [1.4K]

These triangles can be proven congruent by using ASA RULE.

What is congruent triangles and its rules ?

When two triangles are congruent, their three sides and their three angles match precisely.

If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.

ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.

Main Body:

In ΔTUV and ΔTWV

VT =VT                 ----(1)

∠VTU=∠TVW      -----(2)

As TUVW is a parallelogram

so, ∠T = ∠U

hence, ∠TVU =∠VTW    ----(3)

taking equation 1, 2,3

therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.

to learn more about congruency click on the link below

brainly.com/question/1675117

#SPJ13

7 0
1 year ago
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